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| United States Patent Application |
20030100040
|
| Kind Code
|
A1
|
|
Bonnecaze, Roger T.
;   et al.
|
May 29, 2003
|
Blood analyte monitoring through subcutaneous measurement
Abstract
A method for obtaining an estimate of an analyte concentration in a first
fluid from an analyte concentration in a second fluid is disclosed. The
method includes obtaining measurements of an analyte concentration in a
second fluid by using a sensing device. The analyte concentration
estimate in the first fluid is determined from these measurements. Also
disclosed is a sensing device for obtaining the measurements of an
analyte concentration in the first fluid and a processor configured and
arranged to determine the analyte concentration in the first body fluid
according to this method. This method and device can be used, for
example, to determine blood glucose concentration from measurements of
the glucose concentration in subcutaneous tissue. These measurements may
be made using in vitro or in vivo samples. In some instances, a
subcutaneously implanted sensing device, such as electrochemical sensor,
is used to make the measurements.
| Inventors: |
Bonnecaze, Roger T.; (Austin, TX)
; Freeland, Angela C.; (Austin, TX)
|
| Correspondence Address:
|
Attention of Mara E. Liepa
MERCHANT & GOULD P.C.
P.O. Box 2903
Minneapolis
MN
55402-0903
US
|
| Assignee: |
TheraSense Inc.
Alameda
CA
|
| Serial No.:
|
292780 |
| Series Code:
|
10
|
| Filed:
|
November 11, 2002 |
| Current U.S. Class: |
435/14; 702/19 |
| Class at Publication: |
435/14; 702/19 |
| International Class: |
C12Q 001/54; G06F 019/00; G01N 033/48; G01N 033/50 |
Claims
We claim:
1. A method for determining analyte concentration in blood, comprising:
determining a subcutaneous analyte concentration from a subcutaneous
region using a sensing device; determining an analyte concentration in
blood from the subcutaneous analyte concentration based on mass transfer
of the analyte from blood to the subcutaneous region and on uptake of the
analyte by subcutaneous cells surrounding the sensing region.
2. The method of claim 1, wherein the sensing device comprises an
electrochemical sensor having a working electrode.
3. The method of claim 2, further comprising subcutaneously implanting the
working electrode to generate a signal related to the subcutaneous
analyte concentration.
4. The method of claim 1, wherein the analyte is glucose.
5. The method of claim 4, wherein the blood glucose concentration is
determined from the subcutaneous glucose concentration using the
relationship: 22 V S t = k m A ( B - S )
- Vk r S K m + S ( 1 ) where V is the volume of the
sensor, S is the subcutaneous glucose concentration, B is the blood
glucose concentration, A is the surface area of the region surrounding
the sensor, k.sub.m is a mass transfer coefficient, K.sub.m is a
Michaelis-Menten constant, and k.sub.r' is the reaction rate constant for
uptake of glucose by the subcutaneous tissue.
6. The method of claim 5, wherein the subcutaneous glucose concentration
is determined from the blood glucose concentration according to the
relationship: 23 S ( t ) = S ( ) - ( i - )
+ t B ( ) - ( i - ) . where 24 =
[ 1 + k r K m B 0 + S ] ,B.sub.0 is a normalizing
constant, .theta. is the initial time and t is the final time for a
window of computation.
7. The method of claim 6, wherein the subcutaneous glucose concentration
is determined from the blood glucose concentration using: 25 t B
( ) - ( i - ) = i = 1 N B ( t i )
- ( i - t i ) t .times. W i where W.sub.i is
a weighting factor.
8. The method of claim 6, wherein the subcutaneous glucose concentration
is determined from the blood glucose concentration by minimizing:
f[b]=.chi..sup.2[b]+.lambda..PSI.[b], where 26 2 [ b ] = =
i i + N ( t B ( ) - i ( t - )
- S ( t ) + S ( ) - i ( t -
) ) 2 . and .PSI.[b] is a smoothness function.
9. The method of claim 8, wherein .PSI.[b] is selected to provide
first-order regularization.
10. The method of claim 8, wherein .PSI.[b] is selected to provide
second-order regularization.
11. An analyte measurement system comprising: a sensing device; and a
processor coupled to the sensing device and configured and arranged to
determine an analyte level in blood, from signals generated by the
sensing device, based on mass transfer of the analyte from blood to a
subcutaneous region and on uptake of the analyte by subcutaneous cells
surrounding the subcutaneous region.
12. The analyte measurement system of claim 11, wherein the sensing device
comprises an electrochemical sensor having a working electrode.
13. The analyte measurement system of claim 12, wherein the working
electrode is adapted for subcutaneous implantation in an animal.
14. The analyte measurement system of claim 11, wherein the analyte is
glucose.
15. The analyte measurement system of claim 14, wherein the processor is
configured and arranged to determine the blood glucose concentration from
a subcutaneous glucose concentration using the relationship: 27 V
S t = k m A ( B - S ) - Vk r S K m + S
where V is the volume of the sensor, S is the subcutaneous glucose
concentration, B is the blood glucose concentration, A is the surface
area of the region surrounding the sensor, k.sub.m is a mass transfer
coefficient, K.sub.m is a Michaelis-Menten constant, and k.sub.r' is the
reaction rate constant for uptake of glucose by the subcutaneous tissue.
16. The analyte measurement system of claim 15, wherein the processor is
configured and arranged to determine the blood glucose concentration from
a subcutaneous glucose concentration using the relationship: 28 S ( t
) = S ( ) - ( i - ) t B ( ) -
( i - ) . where 29 = [ 1 + k r K m B 0 +
S ] ,B.sub.0 is a normalizing constant, .theta. is the initial time
and t is the final time for a window of computation.
17. The analyte measurement system of claim 16, wherein the processor is
configured and arranged to determine the blood glucose concentration from
a subcutaneous glucose concentration using the relationship: 30 t
B ( ) - ( i - ) = i = 1 N B ( t i
) - ( i - t i ) t .times. W i where W.sub.i
is a weighting factor.
18. The analyte measurement system of claim 16, wherein the processor is
configured and arranged to determine the blood glucose concentration from
a subcutaneous glucose concentration by minimizing:
f[b]=.chi..sup.2[b]+.lambda..PSI.[b], where 31 2 [ b ] = =
i i + N ( t B ( ) - i ( t - )
- S ( t ) + S ( ) - i ( t -
) ) 2 . and .PSI.[b] is a smoothness function.
19. The analyte measurement system of claim 18, wherein .PSI.[b] is
selected to provide first-order regularization.
20. The analyte measurement system of claim 18, wherein .PSI.[b] is
selected to provide second-order regularization.
21. The analyte measurement system of claim 11, further comprising a
display coupled to the processor for displaying the analyte concentration
in the blood.
22. The analyte measurement system of claim 11, further comprising an
alarm coupled to the processor for alerting a user based on the analyte
concentration.
23. The analyte measurement system of claim 11, wherein the processor is
disposed in a housing adapted for placement on the skin of an animal.
24. The analyte measurement system of claim 23, further comprising a
transmitter coupled to the electrochemical sensor and a receiver coupled
to the processor, wherein the processor and receiver are disposed in a
housing adapted for remote reception of signals from the electrochemical
sensor via the transmitter.
25. An apparatus for determining analyte concentration in blood based on
measurements of analyte concentration determined using a sensing device,
comprising: a processor configured and arranged to determine analyte
concentration in the blood from a measured subcutaneous analyte
concentration based on mass transfer of the analyte from blood to a
subcutaneous region and on uptake of the analyte by subcutaneous cells
surrounding the subcutaneous region.
26. The apparatus of claim 25, wherein the analyte is glucose.
27. A method for determining analyte-concentration in a first body fluid,
comprising: obtaining measurements of an analyte concentration in a
second body fluid, different from the first body fluid, from a sensing
device; and determining an analyte concentration estimate in the first
fluid from the measurements by minimizing the relation:
f[b]=.chi..sup.2[b]+.lambda..PSI.[b], wherein b is a vector representing
analyte concentration in the first body fluid, .chi..sup.2[b] is a
function representing a fit between the estimates and the measurements,
.lambda. is a weighting function, and .PSI.[b] is a function indicating
smoothness of the analyte concentration estimates in the first body
fluid.
28. The method of claim 27, wherein the analyte is glucose.
29. The method of claim 28, wherein the first body fluid is blood and the
second body fluid is subcutaneous fluid.
30. The method of claim 28, wherein the model is based on the
relationship: 32 V S t = k m A ( B - S ) - Vk
r S K m + S where V is the volume of the sensor, S is the
subcutaneous glucose concentration, B is the blood glucose concentration,
A is the surface area of the region surrounding the sensor, k.sub.m is a
mass transfer coefficient, K.sub.m is a Michaelis-Menten constant, and
k.sub.r' is the reaction rate constant for uptake of glucose by the
subcutaneous tissue.
31. The method of claim 27, wherein .PSI.[b] is selected to provide
first-order regularization.
32. The method of claim 27, wherein .PSI.[b] is selected to provides
second-order regularization.
33. The method of claim 29, wherein obtaining subcutaneous glucose
measurements comprises subcutaneously implanting a working electrode of a
glucose sensor into an animal; and determining a subcutaneous glucose
concentration from a signal generated at the working electrode.
34. An analyte measurement system, comprising: a sensing device; and a
processor, coupled to the sensing device, that is configured and arranged
to determine an analyte concentration estimate in a first fluid from
measurements of analyte concentration in a second body fluid by
minimizing the relation: f[b]=.chi..sup.2[b]+.PSI.[b], wherein b is a
vector representing analyte concentration in the first body fluid,
.chi..sup.2[b] is a function representing a fit between the estimates and
the measurements, .lambda. is a weighting function, and .PSI.[b] is a
function indicating smoothness of the analyte concentration estimates in
the first body fluid.
35. The analyte measurement system of claim 34, wherein the analyte is
glucose.
36. The analyte measurement system of claim 35, wherein the first body
fluid is blood and the second body fluid is subcutaneous fluid.
37. The analyte measurement system of claim 36, wherein the sensing device
comprises a working electrode adapted for subcutaneous implantation into
an animal.
Description
[0001] This application is a continuation of Ser. No. 09/530,938, filed
Jul. 24, 2000, which claims priority to PCT/US98/25685 having an
international filing date of Dec. 4, 1998, which in turn claims priority
to Serial Nos. 60/067,603 and 60/067,601, both filed Dec. 5, 1997.
[0002] The present invention is, in general, directed to devices and
methods for the monitoring of the concentration of an analyte, such as
glucose, using a subcutaneous sensor. More particularly, the present
invention relates to devices and methods for the monitoring of an analyte
using a subcutaneous electrochemical sensor to provide information to a
patient about the level of the analyte in blood.
BACKGROUND OF THE INVENTION
[0003] The monitoring of the level of analytes, such as glucose, lactate
or oxygen, in certain individuals is vitally important to their health.
High or low levels of these analytes may have detrimental effects. For
example, the monitoring of glucose is particularly important to
individuals with diabetes, as they must determine when insulin is needed
to reduce glucose levels in their bodies or when additional glucose is
needed to raise the level of glucose.
[0004] A variety of methods have been used to measure analyte
concentrations. For example, colorimetric, electrochemical, and optical
methods have been developed for the determination of blood glucose
concentration. Implanted electrochemical sensors may be used to
periodically or continuously monitor glucose (or other analyte)
concentration. Although sensors accurately measure the glucose
concentration when inserted directly into the bloodstream, infection may
occur at this implantation site.
[0005] A variety of sensors have been developed for implantation in
subcutaneous tissue to measure the subcutaneous glucose concentration,
which is thought to be well correlated with the blood glucose
concentration at steady-state. Subcutaneously implanted glucose sensors,
such as miniaturized electrodes "wired" to glucose oxidase, are one
technology that hold promise for continuous monitoring of blood glucose
levels by diabetic patients. These sensors measure subcutaneous glucose
concentrations as glucose diffuses from the blood into the subcutaneous
tissue and then to the enzyme electrode surface. At this surface, the
glucose is oxidized and the reaction causes electrons to be transferred
to the electrode surface. The resulting current is proportional to the
concentration of glucose in the region of implantation.
[0006] In many cases, it is important to be able to convert a value from a
subcutaneous concentration to a blood concentration. For example, a
subcutaneous sensor may be calibrated using blood measurements or a
diagnosis or method of treatment may depend on the knowledge of the blood
analyte concentration that is obtained using a subcutaneous sensor.
However, a lag typically results between the blood and subcutaneous
glucose concentrations as the blood glucose level increases or decreases.
In addition, the subcutaneous analyte concentrations obtained from sensor
measurements may be different from the blood analyte concentration
because of the existence of a mass transfer barrier. Thus, there is a
need to develop devices and methods that can convert subcutaneous analyte
measurements to blood analyte concentrations to ensure accuracy,
compatibility, and comparability between measurements made by
subcutaneous electrochemical sensors and those made using other
conventional blood analysis techniques.
SUMMARY OF THE INVENTION
[0007] Generally, the present invention relates to methods and devices for
determination of analyte concentration in one body fluid using analyte
concentration measurements from a second body fluid. In particular, the
present invention includes methods and devices for the determination of
blood glucose concentration using glucose concentration measurements from
subcutaneous fluids.
[0008] One embodiment of the invention is a method for obtaining an
estimate of an analyte concentration in a first fluid. First,
measurements of an analyte concentration in a second fluid are obtained
using a sensing device. An analyte concentration estimate in the first
body fluid is determined from these measurements by minimizing the
relation:
f[b]=.chi..sup.2[b]+.lambda..PSI.[b],
[0009] where b is a vector representing analyte concentration in the first
fluid, .chi..sup.2[b] is a function representing a fit between the
estimates and the measurements, .lambda. is a weighting function and
.PSI.[b] is a function indicating smoothness of the analyte concentration
estimates in the first body fluid. Another embodiment includes a sensing
device for obtaining the measurements of analyte concentration in the
first fluid and a processor configured and arranged to determine the
analyte concentration according to this method.
[0010] This method and device can be used, for example, to determine blood
glucose concentration from measurements of the glucose concentration in
subcutaneous tissue. These measurements may be made using in vitro or in
vivo samples. In some instances, a subcutaneously implanted sensing
device such as an electrochemical sensor, is used to make the
measurements.
[0011] Another embodiment is a method of determining blood analyte
concentration including obtaining a subcutaneous analyte concentration
from a subcutaneous region using a sensing device and determining a blood
analyte concentration from the subcutaneous analyte concentration based
on a) mass transfer of the analyte from blood to the subcutaneous region
and b) uptake of the analyte by subcutaneous cells in the subcutaneous
region. Examples of analytes include glucose, lactate, and oxygen. Yet
another embodiment is an analyte measurement device including a processor
configured and arranged to determine the analyte concentration according
to this method and an optional sensing device, such as an electrochemical
sensor, for obtaining the measurements of analyte concentration in the
first fluid. In some instances, the electrochemical sensor may be
subcutaneously implanted and the analyte measurement device may
periodically or continuously monitor glucose.
[0012] The above summary of the present invention is not intended to
describe each disclosed embodiment or every implementation of the present
invention. The Figures and the detailed description which follow more
particularly exemplify these embodiments.
BRIEF DESCRIPTION OF THE DRAWINGS
[0013] The invention may be more completely understood in consideration of
the following detailed description of various embodiments of the
invention in connection with the accompanying drawings, in which:
[0014] FIG. 1 is a block diagram of one embodiment of a subcutaneous
analyte monitor using a subcutaneously implantable analyte sensor,
according to the invention;
[0015] FIG. 2 is a top view of one embodiment of an analyte sensor,
according to the invention;
[0016] FIG. 3A is a cross-sectional view of the analyte sensor of FIG. 2;
[0017] FIG. 3B is a cross-sectional view of another embodiment of an
analyte sensor, according to the invention:
[0018] FIG. 4A is a cross-sectional view of a third embodiment of an
analyte sensor, according to the invention;
[0019] FIG. 4B is a cross-sectional view of a fourth embodiment of an
analyte sensor, according to the invention;
[0020] FIG. 5 is an expanded top view of a tip portion of the analyte
sensor of FIG. 2;
[0021] FIG. 6 is a cross-sectional view of a fifth embodiment of an
analyte sensor, according to the invention;
[0022] FIG. 7 is an expanded top view of a tip-portion of the analyte
sensor of FIG. 6;
[0023] FIG. 8 is an expanded bottom view of a tip-portion of the analyte
sensor of FIG. 6;
[0024] FIG. 9 is a side view of the analyte sensor of FIG. 2;
[0025] FIG. 10 is a top view of the analyte sensor of FIG. 6;
[0026] FIG. 11 is a bottom view of the analyte sensor of FIG. 6;
[0027] FIG. 12 is an expanded side view of one embodiment of a sensor and
an insertion device, according to the invention;
[0028] FIGS. 13A, 13B, 13C are cross-sectional views of three embodiments
of the insertion device of FIG. 12;
[0029] FIG. 14 is a cross-sectional view of one embodiment of a on-skin
sensor control unit, according to the invention;
[0030] FIG. 15 is a top view of a base of the on-skin sensor control unit
of FIG. 14;
[0031] FIG. 16 is a bottom view of a cover of the on-skin sensor control
unit of FIG. 14;
[0032] FIG. 17 is a perspective view of the on-skin sensor control unit of
FIG. 14 on the skin of a patient;
[0033] FIG. 18A is a block diagram of one embodiment of an on-skin sensor
control unit, according to the invention;
[0034] FIG. 18B is a block diagram of another embodiment of an on-skin
sensor control unit, according to the invention;
[0035] FIGS. 19A, 19B, 19C, and 19D are cross-sectional views of four
embodiments of conductive contacts disposed on an interior surface of a
housing of an on-skin sensor control unit, according to the invention;
[0036] FIGS. 19E and 19F are cross-sectional views of two embodiments of
conductive contacts disposed on an exterior surface of a housing of an
on-skin sensor control unit, according to the invention;
[0037] FIGS. 20A and 20B are schematic diagrams of two embodiments of a
current-to-voltage converter for use in an analyte monitoring device,
according to the invention;
[0038] FIG. 21 is a block diagram of one embodiment of an open loop
modulation system for use in an analyte monitoring device, according to
the invention;
[0039] FIG. 22 is a block diagram of one embodiment of a receiver/display
unit, according to the invention;
[0040] FIG. 23 is a front view of one embodiment of a receiver/display
unit;
[0041] FIG. 24 is a front view of a second embodiment of a
receiver/display unit; FIG. 25 is a block diagram of one embodiment of a
drug delivery system, according to the invention;
[0042] FIG. 26 is a perspective view of the internal structure of an
insertion gun, according to the invention;
[0043] FIG. 27A is a top view of one embodiment of an on-skin sensor
control unit, according to the invention;
[0044] FIG. 27B is a top view of one embodiment of a mounting unit of the
on-skin sensor control unit of FIG. 27A;
[0045] FIG. 28A is a top view of another embodiment of an on-skin sensor
control unit after insertion of an insertion device and a sensor,
according to the invention;
[0046] FIG. 28B is a top view of one embodiment of a mounting unit of the
on-skin sensor control unit of FIG. 28A;
[0047] FIG. 28C is a top view of one embodiment of a housing for at least
a portion of the electronics of the on-skin sensor control unit of FIG.
28A;
[0048] FIG. 28D is a bottom view of the housing of FIG. 28C;
[0049] FIG. 28E is a top view of the on-skin sensor control unit of FIG.
28A with a cover of the housing removed;
[0050] FIG. 29 is another embodiment of an analyte sensor;
[0051] FIG. 30 is a graph of experimental data (smooth line) from a rat
during an intravenous insulin injection and a prediction using an inverse
model with no regularization (oscillating line);
[0052] FIG. 31 is a graph of simulated blood glucose response (solid line)
and three models used to simulate subcutaneous glucose response including
a) k.sub.r=0, b) k.sub.r=1, K.sub.m=B.sub.o/3, and c) k.sub.r=1,
K.sub.m=B.sub.o;
[0053] FIG. 32 is a graph of simulated subcutaneous glucose response with
white noise (dotted line) and time-correlated noise (solid line) at a
noise level of 1%;
[0054] FIG. 33 is a graph of first- and second-order regularization for a
solution of blood glucose concentration based on simulated subcutaneous
glucose concentration;
[0055] FIG. 34 is a graph of error magnification factor versus weighting
factor for zeroeth-, first-, and second-order regularization;
[0056] FIG. 35 is a graph of error magnification factor versus weighting
factor for zeroeth-, first-, and second-order regularization, varying
values of window size and data sampling time;
[0057] FIG. 36 is a graph of magnification factor versus weighting factor
for k.sub.r=0 and N.DELTA.t=1.481;
[0058] FIG. 37 is a graph of magnification factor versus weighting factor
including white noise or time-correlated noise in the simulated
subcutaneous glucose concentration;
[0059] FIG. 38 is a graph of squared model error versus weight factor;
[0060] FIG. 39 is a graph of magnification factor versus weighting factor
for a) k.sub.r=0 and b) k.sub.r=1, K.sub.m=B.sub.0;
[0061] FIG. 40 is a graph of glucose concentration illustrating a decline
in concentration of glucose after intravenous injection of insulin;
[0062] FIG. 41 is a graph of estimated glucose concentration of a
subcutaneously implanted sensor (dotted line), an intravascularly
implanted sensor (solid line), and venous blood glucose concentration
(circles) after an i.v. bolus of insulin.
[0063] FIG. 42 is a graph of average difference (n=7) of subcutaneous
glucose estimates relative to actual blood glucose measurements, %
difference=100.times.(subcutaneous estimate-blood measurement)/(blood
measurement);
[0064] FIG. 43 is a graph of subcutaneous glucose concentration predicted
using a forward model (dotted lines) based on data from a jugular sensor
and measured subcutaneous glucose concentration (solid line); and
[0065] FIG. 44 includes graphs for seven rats comparing blood glucose
concentration as determined by a sensor (solid line) and predicted by an
inverse model with regularization (dashed line).
[0066] While the invention is amenable to various modifications and
alternative forms, specifics thereof have been shown by way of example in
the drawings and will be described in detail. It should be understood,
however, that the intention is not to limit the invention to the
particular embodiments described. On the contrary, the intention is to
cover all modifications, equivalents, and alternatives falling within the
spirit and scope of the invention as defined by the appended claims.
DETAILED DESCRIPTION OF THE INVENTION
[0067] The present invention is applicable to a method and analyte
measurement systems for determining analyte concentration in one body
fluid (e.g., blood) from measured analyte concentrations in another body
fluid (e.g., subcutaneous fluid).
[0068] Suitable analyte measurement systems typically include a sensing
device and a processor. The analyte measurement system may be configured
and arranged to provide readings as required by a user when, for-example,
the user provides a sample to the device. In other embodiments, the
analyte measurement system may be configured and arranged to be
permanently or temporarily attached to an animal (such as a human) to
provide periodic or continuous monitoring.
[0069] For example, the analyte measurement system can be an analyte
monitoring system using a subcutaneously implantable electrochemical
sensor for the in vivo determination of a blood concentration of an
analyte, such as, for example, glucose, lactate, or oxygen. The sensor
can be, for example, subcutaneously implanted in a patient for the
continuous or periodic monitoring of the analyte. The analyte monitoring
system typically includes a subcutaneously implantable sensor and a
processor coupled to the sensor to determine the blood analyte
concentration from the sensor measurements.
[0070] A variety of suitable sensing devices are available. A suitable
sensing device is configured and arranged to provide some signal, for
example, an optical (e.g., color change, absorption, transmission, or
fluorescence) or electrical signal (e.g., a change in current, potential,
capacitance, or conductivity) that is related to a level of the analyte
in the sample. Suitable sensing devices include electrochemical sensing
devices, optical sensing devices, and calorimetric sensing devices. A
sample of a body fluid may be provided, conveyed, or transported to the
sensing device for in vitro determination of the analyte concentration in
the body fluid. In other embodiments, the sensing device (e.g., an
electrochemical sensor) may be implanted to provide in vivo determination
of analyte concentration. In yet other embodiments, the sensing device
(e.g., an optical device) may be directed toward the animal or a sample
from the animal and the analyte concentration determined by, for example,
interaction of light with the tissue and/or body fluid of the animal.
[0071] The determination of blood glucose concentration from subcutaneous
glucose measurements is used herein as an illustration. It will be
understood that other analytes may also be measured. It will also be
understood that the devices and methods described herein can be applied
to the determination of analyte concentration in body fluids, other than
blood, based on measurement of analyte concentration in a second body
fluid.
[0072] The following definitions are provided for terms used herein:
[0073] A "counter electrode" refers to an electrode paired with the
working electrode, through which passes a current equal in magnitude and
opposite in sign to the current passing through the working electrode. In
the context of the invention, the term "counter electrode" is meant to
include counter electrodes which also function as reference electrodes
(i.e., a counter/reference electrode).
[0074] An "electrochemical sensor" is a device configured to detect the
presence and/or measure the level of an analyte in a sample via
electrochemical oxidation and reduction reactions on the sensor. These
reactions are transduced to an electrical signal that can be correlated
to an amount, concentration, or level of an analyte in the sample.
[0075] "Electrolvsis" is the electrooxidation or electroreduction of a
compound either directly at an electrode or via one or more electron
transfer agents.
[0076] A compound is "immobilized" on a surface when it is entrapped on or
chemically bound to the surface.
[0077] A "non-leachable" or "non-releasable" compound or a compound that
is "non-leachably disposed" is meant to define a compound that is affixed
on the sensor such that it does not substantially diffuse away from the
working surface of the working electrode for the period in which the
sensor is used (e.g., the period in which the sensor is implanted in a
patient or measuring a sample).
[0078] Components are "immobilized" within a sensor, for example, when the
components are covalently, ionically, or coordinatively bound to
constituents of the sensor and/or are entrapped in a polymeric or sol-gel
matrix or membrane which precludes mobility.
[0079] An "electron transfer agent" is a compound that carries electrons
between the analyte and the working electrode, either directly, or in
cooperation with other electron transfer agents. One example of an
electron transfer agent is a redox mediator.
[0080] A "working electrode" is an electrode at which the analyte (or a
second compound whose level depends on the level of the analyte) is
electrooxidized or electroreduced with or without the agency of an
electron transfer agent.
[0081] A "working surface" is that portion of the working electrode which
is coated with or is accessible to the electron transfer agent and
configured for exposure to an analyte-containing fluid.
[0082] A "sensing layer" is a component of the sensor which includes
constituents that facilitate the electrolysis of the analyte. The sensing
layer may include constituents such as an electron transfer agent, a
catalyst which catalyzes a reaction of the analyte to produce a response
at the electrode, or both. In some embodiments of the sensor, the sensing
layer is non-leachably disposed in proximity to or on the working
electrode.
[0083] A "non-corroding" conductive material includes non-metallic
materials, such as carbon and conductive polymers.
[0084] Sensing Devices
[0085] The methods and devices of the invention are illustrated using
electrochemical sensors. However, it will be understood that a variety of
sensing devices, including electrochemical, optical, and colorimetric
sensing devices may be used. Moreover, the methods and devices are
illustrated using implantable sensing devices, however, it will be
understood that other non-implantable sensing devices can be used.
[0086] A variety of subcutaneously implantable sensors are available for
use. Examples of such sensors and analyte measurement systems
incorporating the sensors are described in U.S. Pat. No. 5,593,852 and
U.S. patent application Ser. Nos. 09/034,372, 09/034,422, and 09/070,677,
all of which are incorporated herein by reference. An example of one
sensor is illustrated in FIG. 29 and described in detail in U.S. Pat. No.
5,593,852. This sensor includes a metal or carbon working electrode 2
with an electrically insulating material 4 wrapped around the electrode.
A recess 6 is provided by, for example, removing a portion of the working
electrode 2. This leaves an exposed surface 18 of the working electrode.
[0087] A sensing layer 8 is formed over the exposed surface 18. The
sensing layer 8 may include a redox mediator and/or a redox enzyme. In at
least some embodiments, the redox mediator and/or redox enzyme are
non-leachably disposed in the sensor, as described in U.S. Pat. No.
5,593,852. Exemplary redox mediators and redox enzymes are described in
U.S. Pat. No. 5,593,852 and U.S. patent application Ser. Nos. 09/034,372.
09/034,422, and 09/070,677.
[0088] An optional glucose diffusion limiting layer 10, an optional
interferent eliminating layer 12, and an optional biocompatible layer 14
can be formed in the recess 6. These layers are described in more detail
in U.S. Pat. No. 5,593,852. Another Sensor and an Analyte Monitoring
System The analyte monitoring systems of the present invention can be
utilized under a variety of conditions. The particular configuration of a
sensor and other units used in the analyte monitoring system may depend
on the use for which the analyte monitoring system is intended and the
conditions under which the analyte monitoring system will operate. One
embodiment of the analyte monitoring system includes a sensor configured
for implantation into a patient or user. For example, implantation of the
sensor may be made in the arterial or venous systems for direct testing
of analyte levels in blood. Alternatively, a sensor may be implanted in
the interstitial tissue for determining the analyte level in interstitial
fluid. This level may be correlated and/or converted to analyte levels in
blood or other fluids. The site and depth of implantation may affect the
particular shape, components, and configuration of the sensor.
Subcutaneous implantation may be preferred, in some cases, to limit the
depth of implantation of the sensor. Sensors may also be implanted in
other regions of the body to determine analyte levels in other fluids.
Examples of suitable sensor for use in the analyte monitoring systems of
the invention are described in U.S. patent application Ser. No.
09/034,372, incorporated herein by reference.
[0089] One embodiment of the analyte monitoring system 40 for use with an
implantable sensor 42, and particularly for use with a subcutaneously
implantable sensor, is illustrated in block diagram form in FIG. 1. The
analyte monitoring system 40 includes, at minimum, a sensor 42, a portion
of which is configured for implantation (e.g., subcutaneous, venous, or
arterial implantation) into a patient, and a sensor control unit 44. The
sensor 42 is coupled to the sensor control unit 44 which is typically
attached to the skin of a patient. The sensor control unit 44 operates
the sensor 42, including, for example, providing a voltage across the
electrodes of the sensor 42 and collecting signals from the sensor 42.
The sensor control unit 44 may evaluate the signals from the sensor 42
and/or transmit the signals to one or more optional receiver/display
units 46, 48 for evaluation. The sensor control unit 44 and/or the
receiver/display units 46, 48 may display or otherwise communicate the
current level of the analyte. Furthermore, the sensor control unit 44
and/or the receiver/display units 46, 48 may indicate to the patient,
via, for example, an audible, visual, or other sensory-stimulating alarm,
when the level of the analyte is at or near a threshold level. In some
embodiments, a electrical shock can be delivered to the patient as a
warning through one of the electrodes or the optional temperature probe
of the sensor. For example, if glucose is monitored then an alarm may be
used to alert the patient to a hypoglycemic or hyperglycemic glucose
level and/or to impending hypoglycemia or hyperglycemia.
[0090] The Sensor
[0091] A sensor 42 includes at least one working electrode 58 formed on a
substrate 50, as shown in FIG. 2. The sensor 42 may also include at least
one counter electrode 60 (or counter/reference electrode) and/or at least
one reference electrode 62 (see FIG. 8). The counter electrode 60 and/or
reference electrode 62 may be formed on the substrate 50 or may be
separate units. For example, the counter electrode and/or reference
electrode may be formed on a second substrate which is also implanted in
the patient or, for some embodiments of the implantable sensors, the
counter electrode and/or reference electrode may be placed on the skin of
the patient with the working electrode or electrodes being implanted into
the patient. The use of an on-the-skin counter and/or reference electrode
with an implantable working electrode is described in U.S. Pat. No.
5,593,852, incorporated herein by reference.
[0092] The working electrode or electrodes 58 are formed using conductive
traces 52 disposed on the substrate 50. The counter electrode 60 and/or
reference electrode 62, as well as other optional portions of the sensor
42, such as a temperature probe 66 (see FIG. 8), may also be formed using
conductive traces 52 disposed on the substrate 50. These conductive
traces 52 may be formed over a smooth surface of the substrate 50 or
within channels 54 formed by, for example, embossing, indenting or
otherwise creating a depression in the substrate 50. A sensing layer 64
(see FIGS. 3A and 3B) is often formed proximate to or on at least one of
the working electrodes 58 to facilitate the electrochemical detection of
the analyte and the determination of its level in the sample fluid,
particularly if the analyte can not be electrolyzed at a desired rate
and/or with a desired specificity on a bare electrode. The sensing layer
64 may include an electron transfer agent to transfer electrons directly
or indirectly between the analyte and the working electrode 58. The
sensing layer 64 may also contain a catalyst to catalyze a reaction of
the analyte. The components of the sensing layer may be in a fluid or gel
that is proximate to or in contact with the working electrode 58.
Alternatively, the components of the sensing layer 64 may be disposed in
a polymeric or sol-gel matrix that is proximate to or on the working
electrode 58. Preferably, the components of the sensing layer 64 are
non-leachably disposed within the sensor 42. More preferably, the
components of the sensor 42 are immobilized within the sensor 42.
[0093] In addition to the electrodes 58, 60, 62 and the sensing layer 64,
the sensor 42 may also include a temperature probe 66 (see FIGS. 6 and
8), a mass transport limiting layer 74 (see FIG. 9), a biocompatible
layer 75 (see FIG. 9), and/or other optional components, as described
below. Each of these items enhances the functioning of and/or results
from the sensor 42, as discussed below.
[0094] The Substrate
[0095] The substrate 50 may be formed using a variety of non-conducting
materials, including, for example, polymeric or plastic materials and
ceramic materials. Suitable materials for a particular sensor 42 may be
determined, at least in part, based on the desired use of the sensor 42
and properties of the materials.
[0096] In some embodiments, the substrate is flexible. For example, if the
sensor 42 is configured for implantation into a patient, then the sensor
42 may be made flexible (although rigid sensors may also be used for
implantable sensors) to reduce pain to the patient and damage to the
tissue caused by the implantation of and/or the wearing of the sensor 42.
A flexible substrate 50 often increases the patient's comfort and allows
a wider range of activities. Suitable materials for a flexible substrate
50 include, for example, non-conducting plastic or polymeric materials
and other non-conducting, flexible, deformable materials. Examples of
useful plastic or polymeric materials include thermoplastics such as
polycarbonates, polyesters (e.g., Mylar.TM. and polyethylene
terephthalate (PET)), polyvinyl chloride (PVC), polyurethanes,
polyethers, polyamides, polyimides, or copolymers of these
thermoplastics, such as PETG (glycol-modified polyethylene
terephthalate).
[0097] In other embodiments, the sensors 42 are made using a relatively
rigid substrate 50 to, for example, provide structural support against
bending or breaking. Examples of rigid materials that may be used as the
substrate 50 include poorly conducting ceramics, such as aluminum oxide
and silicon dioxide. One advantage of an implantable sensor 42 having a
rigid substrate is that the sensor 42 may have a sharp point and/or a
sharp edge to aid in implantation of a sensor 42 without an additional
insertion device.
[0098] It will be appreciated that for many sensors 42 and sensor
applications, both rigid and flexible sensors will operate adequately.
The flexibility of the sensor 42 may also be controlled and varied along
a continuum by changing, for example, the composition and/or thickness of
the substrate 50.
[0099] In addition to considerations regarding flexibility, it is often
desirable that implantable sensors 42 should have a substrate 50 which is
non-toxic. Preferably, the substrate 50 is approved by one or more
appropriate governmental agencies or private groups for in vivo use.
[0100] The sensor 42 may include optional features to facilitate insertion
of an implantable sensor 42, as shown in FIG. 12. For example, the sensor
42 may be pointed at the tip 123 to ease insertion. In addition, the
sensor 42 may include a barb 125 which assists in anchoring the sensor 42
within the tissue of the patient during operation of the sensor 42.
However, the barb 125 is typically small enough that little damage is
caused to the subcutaneous tissue when the sensor 42 is removed for
replacement.
[0101] Although the substrate 50 in at least some embodiments has uniform
dimensions along the entire length of the sensor 42, in other
embodiments, the substrate 50 has a distal end 67 and a proximal end 65
with different widths 53, 55, respectively, as illustrated in FIG. 2. In
these embodiments, the distal end 67 of the substrate 50 may have a
relatively narrow width 53. For sensors 42 which are implantable into the
subcutaneous tissue or another portion of a patient's body, the narrow
width 53 of the distal end 67 of the substrate 50 may facilitate the
implantation of the sensor 42. Often, the narrower the width of the
sensor 42, the less pain the patient will feel during implantation of the
sensor and afterwards.
[0102] For subcutaneously implantable sensors 42 which are designed for
continuous or periodic monitoring of the analyte during normal activities
of the patient, a distal end 67 of the sensor 42 which is to be implanted
into the patient has a width 53 of 2 mm or less, preferably 1 mm or less,
and more preferably 0.5 mm or less. If the sensor 42 does not have
regions of different widths, then the sensor 42 will typically have an
overall width of, for example. 2 mm. 1.5 mm, 1 mm. 0.5 mm. 0.25 mm, or
less. However, wider or narrower sensors may be used. In particular,
wider implantable sensors may be used for insertion into veins or
arteries or when the movement of the patient is limited, for example,
when the patient is confined in bed or in a hospital.
[0103] Returning to FIG. 2, the proximal end 65 of the sensor 42 may have
a width 55 larger than the distal end 67 to facilitate the connection
between contact pads 49 of the electrodes and contacts on a control unit.
The wider the sensor 42 at this point, the larger the contact pads 49 can
be made. This may reduce the precision needed to properly connect the
sensor 42 to contacts on the control unit (e.g., sensor control unit 44
of FIG. 1). However, the maximum width of the sensor 42 may be
constrained so that the sensor 42 remains small for the convenience and
comfort of the patient and/or to fit the desired size of the analyte
monitor. For example, the proximal end 65 of a subcutaneously implantable
sensor 42, such as the sensor 42 illustrated in FIG. 1, may have a width
55 ranging from 0.5 mm to 15 mm, preferably from 1 mm to 10 mm, and more
preferably from 3 mm to 7 mm. However, wider or narrower sensors may be
used in this and other in vivo applications.
[0104] The thickness of the substrate 50 may be determined by the
mechanical properties of the substrate material (e.g., the strength,
modulus, and/or flexibility of the material), the desired use of the
sensor 42 including stresses on the substrate 50 arising from that use,
as well as the depth of any channels or indentations formed in the
substrate 50, as discussed below. Typically, the substrate 50 of a
subcutaneously implantable sensor 42 for continuous or periodic
monitoring of the level of an analyte while the patient engages in normal
activities has a thickness of 50 to 500 .mu.m and preferably 100 to 300
.mu.m. However, thicker and thinner substrates 50 may be used,
particularly in other types of in vivo sensors 42.
[0105] The length of the sensor 42 may have a wide range of values
depending on a variety of factors. Factors which influence the length of
an implantable sensor 42 may include the depth of implantation into the
patient and the ability of the patient to manipulate a small flexible
sensor 42 and make connections between the sensor 42 and the sensor
control unit 44. A subcutaneously implantable sensor 42 for the analyte
monitor illustrated in FIG. 1 may have a length ranging from 0.3 to 5 cm,
however, longer or shorter sensors may be used. The length of the narrow
portion of the sensor 42 (e.g., the portion which is subcutaneously
inserted into the patient), if the sensor 42 has narrow and wide
portions, is typically about 0.25 to 2 cm in length. However, longer and
shorter portions may be used. All or only a part of this narrow portion
may be subcutaneously implanted into the patient. The lengths of other
implantable sensors 42 will vary depending, at least in part, on the
portion of the patient into which the sensor 42 is to be implanted or
inserted.
[0106] Conductive Traces
[0107] At least one conductive trace 52 is formed on the substrate for use
in constructing a working electrode 58. In addition, other conductive
traces 52 may be formed on the substrate 50 for use as electrodes (e.g.,
additional working electrodes, as well as counter, counter/reference,
and/or reference electrodes) and other components, such as a temperature
probe. The conductive traces 52 may extend most of the distance along a
length 57 of the sensor 50, as illustrated in FIG. 2, although this is
not necessary. The placement of the conductive traces 52 may depend on
the particular configuration of the analyte monitoring system (e.g., the
placement of control unit contacts and/or the sample chamber in relation
to the sensor 42). For implantable sensors, particularly subcutaneously
implantable sensors, the conductive traces typically extend close to the
tip of the sensor 42 to minimize the amount of the sensor that must be
implanted.
[0108] The conductive traces 52 may be formed on the substrate 50 by a
variety of techniques, including, for example, p
hotolithography, screen
printing, or other impact or non-impact printing techniques. The
conductive traces 52 may also be formed by carbonizing conductive traces
52 in an organic (e.g., polymeric or plastic) substrate 50 using a laser.
A description of some exemplary methods for forming the sensor 42 is
provided in U.S. patent application Ser. No. 09/034,422, incorporated
herein by reference.
[0109] Another method for disposing the conductive traces 52 on the
substrate 50 includes the formation of recessed channels 54 in one or
more surfaces of the substrate 50 and the subsequent filling of these
recessed channels 54 with a conductive material 56, as shown in FIG. 3A.
The recessed channels 54 may be formed by indenting, embossing, or
otherwise creating a depression in the surface of the substrate 50.
Exemplary methods for forming channels and electrodes in a surface of a
substrate can be found in U.S. patent application Ser. No. 09/034,422.
The depth of the channels is typically related to the thickness of the
substrate 50. In one embodiment, the channels have depths in the range of
about 12.5 to 75 .mu.m (0.5 to 3 mils), and preferably about 25 to 50
.mu.m (1 to 2 mils).
[0110] The conductive traces are typically formed using a conductive
material 56 such as carbon (e.g., graphite), a conductive polymer, a
metal or alloy (e.g., gold or gold alloy), or a metallic compound (e.g.,
ruthenium dioxide or titanium dioxide). The formation of films of carbon,
conductive polymer, metal, alloy, or metallic compound are well-known and
include, for example, chemical vapor deposition (CVD), physical vapor
deposition, sputtering, reactive sputtering, printing, coating, and
painting. The conductive material 56 which fills the channels 54 is often
formed using a precursor material, such as a conductive ink or paste. In
these embodiments, the conductive material 56 is deposited on the
substrate 50 using methods such as coating, painting, or applying the
material using a spreading instrument, such as a coating blade. Excess
conductive material between the channels 54 is then removed by, for
example, running a blade along the substrate surface.
[0111] In one embodiment, the conductive material 56 is a part of a
precursor material, such as a conductive ink, obtainable, for example,
from Ercon, Inc. (Wareham, Mass.), Metech, Inc. (Elverson, Pa.), E. I. du
Pont de Nemours and Co. (Wilmington, Del.), Emca-Remex Products
(Montgomeryville, Pa.), or MCA Services (Melbourn, Great Britain). The
conductive ink is typically applied as a semiliquid or paste which
contains particles of the carbon, metal, alloy, or metallic compound and
a solvent or dispersant. After application of the conductive ink on the
substrate 50 (e.g., in the channels 54), the solvent or dispersant
evaporates to leave behind a solid mass of conductive material 56.
[0112] In addition to the particles of carbon, metal, alloy, or metallic
compound, the conductive ink may also contain a binder. The binder may
optionally be cured to further bind the conductive material 56 within the
channel 54 and/or on the substrate 50. Curing the binder increases the
conductivity of the conductive material 56. However, this is typically
not necessary as the currents carried by the conductive material 56
within the conductive traces 52 are often relatively low (usually less
than 1 .mu.A and often less than 100 nA). Typical binders include, for
example, polyurethane resins, cellulose derivatives, elastomers, and
highly fluorinated polymers. Examples of elastomers include silicones,
polymeric dienes, and acrylonitrile-butadiene-styrene (ABS) resins. One
example of a fluorinated polymer binder is Teflon.RTM. (DuPont.
Wilmington, Del.). These binders are cured using, for example, heat or
light, including ultraviolet (UV) light. The appropriate curing method
typically depends on the particular binder which is used.
[0113] Often, when a liquid or semiliquid precursor of the conductive
material 56 (e.g., a conductive ink) is deposited in the channel 54, the
precursor fills the channel 54. However, when the solvent or dispersant
evaporates, the conductive material 56 which remains may lose volume such
that the conductive material 56 may or may not continue to fill the
channel 54. Preferred conductive materials 56 do not pull away from the
substrate 50 as they lose volume, but rather decrease in height within
the channel 54. These conductive materials 56 typically adhere well to
the substrate 50 and therefore do not pull away from the substrate 50
during evaporation of the solvent or dispersant. Other suitable
conductive materials 56 either adhere to at least a portion of the
substrate 50 and/or contain another additive, such as a binder, which
adheres the conductive material 56 to the substrate 50. Preferably, the
conductive material 56 in the channels 54 is non-leachable, and more
preferably immobilized on the substrate 50. In some embodiments, the
conductive material 56 may be formed by multiple applications of a liquid
or semiliquid precursor interspersed with removal of the solvent or
dispersant.
[0114] In another embodiment, the channels 54 are formed using a laser.
The laser carbonizes the polymer or plastic material. The carbon formed
in this process is used as the conductive material 56. Additional
conductive material 56, such as a conductive carbon ink, may be used to
supplement the carbon formed by the laser.
[0115] In a further embodiment, the conductive traces 52 are formed by pad
printing techniques. For example, a film of conductive material is formed
either as a continuous film or as a coating layer deposited on a carrier
film. This film of conductive material is brought between a print head
and the substrate 50. A pattern on the surface of the substrate 50 is
made using the print head according to a desired pattern of conductive
traces 52. The conductive material is transferred by pressure and/or heat
from the film of conductive material to the substrate 50. This technique
often produces channels (e.g., depressions caused by the print head) in
the substrate 50. Alternatively, the conductive material is deposited on
the surface of the substrate 50 without forming substantial depressions.
[0116] In other embodiments, the conductive traces 52 are formed by
non-impact printing techniques. Such techniques include
electrop
hotography and magnetography. In these processes, an image of the
conductive traces 52 is electrically or magnetically formed on a drum. A
laser or LED may be used to electrically form an image. A magnetic
recording head may be used to magnetically form an image. A toner
material (e.g., a conductive material, such as a conductive ink) is then
attracted to portions of the drum according to the image. The toner
material is then applied to the substrate by contact between the drum and
the substrate. For example, the substrate may be rolled over the drum.
The toner material may then be dried and/or a binder in the toner
material may be cured to adhere the toner material to the substrate.
[0117] Another non-impact printing technique includes ejecting droplets of
conductive material onto the substrate in a desired pattern. Examples of
this technique include ink jet printing and piezo jet printing. An image
is sent to the printer which then ejects the conductive material (e.g., a
conductive ink) according to the pattern. The printer may provide a
continuous stream of conductive material or the printer may eject the
conductive material in discrete amounts at the desired points.
[0118] Yet another non-impact printing embodiment of forming the
conductive traces includes an ionographic process. In the this process, a
curable, liquid precursor, such as a photopolymerizable acrylic resin
(e.g., Solimer 7501 from Cubital, Bad Kreuznach, Germany) is deposited
over a surface of a substrate 50. A p
hotomask having a positive or
negative image of the conductive traces 52 is then used to cure the
liquid precursor. Light (e.g., visible or ultraviolet light) is directed
through the p
hotomask to cure the liquid precursor and form a solid layer
over the substrate according to the image on the p
hotomask. Uncured
liquid precursor is removed leaving behind channels 54 in the solid
layer. These channels 54 can then be filled with conductive material 56
to form conductive traces 52.
[0119] Conductive traces 52 (and channels 54, if used) can be formed with
relatively narrow widths, for example, in the range of 25 to 250 .mu.m,
and including widths of, for example, 250 .mu.m, 150 .mu.m, 100 .mu.m, 75
.mu.m, 50 .mu.m, 25 .mu.m or less by the methods described above. In
embodiments with two or more conductive traces 52 on the same side of the
substrate 50, the conductive traces 52 are separated by distances
sufficient to prevent conduction between the conductive traces 52. The
edge-to-edge distance between the conductive traces is preferably in the
range of 25 to 250 .mu.m and may be, for example, 150 .mu.m, 100 .mu.m,
75 .mu.m, 50 .mu.m, or less. The density of the conductive traces 52 on
the substrate 50 is preferably in the range of about 150 to 700
.mu.m/trace and may be as small as 667 .mu.m/trace or less, 333
.mu.m/trace or less, or even 167 .mu.m/trace or less.
[0120] The working electrode 58 and the counter electrode 60 (if a
separate reference electrode is used) are often made using a conductive
material 56, such as carbon. Suitable carbon conductive inks are
available from Ercon, Inc. (Wareham, Mass.), Metech, Inc. (Elverson,
Pa.), E. I. du Pont de Nemours and Co. (Wilmington, Del.), Emca-Remex
Products (Montgomeryville, Pa.), or MCA Services (Melbourn, Great
Britain). Typically, the working surface 51 of the working electrode 58
is at least a portion of the conductive trace 52 that is in contact with
the analyte-containing fluid (e.g., implanted in the patient).
[0121] The reference electrode 62 and/or counter/reference electrode are
typically formed using conductive material 56 that is a suitable
reference material, for example silver/silver chloride or a non-leachable
redox couple bound to a conductive material, for example, a carbon-bound
redox couple. Suitable silver/silver chloride conductive inks are
available from Ercon, Inc. (Wareham, Mass.), Metech, Inc. (Elverson,
Pa.), E. I. du Pont de Nemours and Co. (Wilmington, Del.), Emca-Remex
Products (Montgomeryville, Pa.), or MCA Services (Melbourn, Great
Britain). Silver/silver chloride electrodes illustrate a type of
reference electrode that involves the reaction of a metal electrode with
a constituent of the sample or body fluid, in this case, Cl.sup.-.
[0122] Suitable redox couples for binding to the conductive material of
the reference electrode include, for example, redox polymers (e.g.,
polymers having multiple redox centers.) It is preferred that the
reference electrode surface be non-corroding so that an erroneous
potential is not measured. Preferred conductive materials include less
corrosive metals, such as gold and palladium. Most preferred are
non-corrosive materials including non-metallic conductors, such as carbon
and conducting polymers. A redox polymer can be adsorbed on or covalently
bound to the conductive material of the reference electrode, such as a
carbon surface of a conductive trace 52. Non-polymeric redox couples can
be similarly bound to carbon or gold surfaces.
[0123] A variety of methods may be used to immobilize a redox polymer on
an electrode surface. One method is adsorptive immobilization. This
method is particularly useful for redox polymers with relatively high
molecular weights. The molecular weight of a polymer may be increased,
for example, by cross-linking.
[0124] Another method for immobilizing the redox polymer includes the
functionalization of the electrode surface and then the chemical bonding,
often covalently, of the redox polymer to the functional groups on the
electrode surface. One example of this type of immobilization begins with
a poly(4-vinylpyridine). The polymer's pyridine rings are, in part,
complexed with a reducible/oxidizable species, such as
[Os(bpy).sub.2Cl].sup.+/2+ where bpy is 2,2'-bipyridine. Part of the
pyridine rings are quaternized by reaction with 2-bromoethylamine. The
polymer is then crosslinked, for example, using a diepoxide, such as
polyethylene glycol diglycidyl ether.
[0125] Carbon surfaces can be modified for attachment of a redox species
or polymer, for example, by electroreduction of a diazonium salt. As an
illustration, reduction of a diazonium salt formed upon diazotization of
p-aminobenzoic acid modifies a carbon surface with phenylcarboxylic acid
functional groups. These functional groups can then be activated by a
carbodiimide, such as 1-ethyl-3-(3-dimethylaminopropyl)-carbodiimide
hydrochloride. The activated functional groups are then bound with a
amine-functionalized redox couple, such as the quaternized
osmium-containing redox polymer described above or 2-aminoethylferrocene,
to form the redox couple.
[0126] Similarly, gold can be functionalized by an amine, such as
cystamine. A redox couple such as [Os(bpy).sub.2(pyridine-4-carboxylate)C-
l].sup.0/+ is activated by 1-ethyl-3-(3-dimethylaminopropyl)-carbodiimide
hydrochloride to form a reactive O-acylisourea which reacts with the
gold-bound amine to form an amide.
[0127] In one embodiment, in addition to using the conductive traces 52 as
electrodes or probe leads, two or more of the conductive traces 52 on the
substrate 50 are used to give the patient a mild electrical shock when,
for example, the analyte level exceeds a threshold level. This shock may
act as a warning or alarm to the patient to initiate some action to
restore the appropriate level of the analyte.
[0128] The mild electrical shock is produced by applying a potential
between any two conductive traces 52 that are not otherwise connected by
a conductive path. For example, two of the electrodes 58, 60, 62 or one
electrode 58, 60, 62 and the temperature probe 66 may be used to provide
the mild shock. Preferably, the working electrode 58 and the reference
electrode 62 are not used for this purpose as this may cause some damage
to the chemical components on or proximate to the particular electrode
(e.g., the sensing layer on the working electrode or the redox couple on
the reference electrode).
[0129] The current used to produce the mild shock is typically 0.1 to 1
mA. Higher or lower currents may be used, although care should be taken
to avoid harm to the patient. The potential between the conductive traces
is typically 1 to 10 volts. However, higher or lower voltages may be used
depending, for example, on the resistance of the conductive traces 52,
the distance between the conductive traces 52 and the desired amount of
current. When the mild shock is delivered, potentials at the working
electrode 58 and across the temperature probe 66 may be removed to
prevent harm to those components caused by unwanted conduction between
the working electrode 58 (and/or temperature probe 66, if used) and the
conductive traces 52 which provide the mild shock.
[0130] Contact Pads
[0131] Typically, each of the conductive traces 52 includes a contact pad
49. The contact pad 49 may simply be a portion of the conductive trace 52
that is indistinguishable from the rest of the trace 52 except that the
contact pad 49 is brought into contact with the conductive contacts of a
control unit (e.g., the sensor control unit 44 of FIG. 1). More commonly,
however, the contact pad 49 is a region of the conductive trace 52 that
has a larger width than other regions of the trace 52 to facilitate a
connection with the contacts on the control unit. By making the contact
pads 49 relatively large as compared with the width of the conductive
traces 52, the need for precise registration between the contact pads 49
and the contacts on the control unit is less critical than with small
contact pads.
[0132] The contact pads 49 are typically made using the same material as
the conductive material 56 of the conductive traces 52. However, this is
not necessary. Although metal, alloys, and metallic compounds may be used
to form the contact pads 49, in some embodiments, it is desirable to make
the contact pads 49 from a carbon or other non-metallic material, such as
a conducting polymer. In contrast to metal or alloy contact pads, carbon
and other non-metallic contact pads are not easily corroded if the
contact pads 49 are in a wet, moist, or humid environment. Metals and
alloys may corrode under these conditions, particularly if the contact
pads 49 and contacts of the control unit are made using different metals
or alloys. However, carbon and non-metallic contact pads 49 do not
significantly corrode, even if the contacts of the control device are
metal or alloy.
[0133] One embodiment of the invention includes a sensor 42 having contact
pads 49 and a control unit 44 having conductive contacts (not shown).
During operation of the sensor 42, the contact pads 49 and conductive
contacts are in contact with each other. In this embodiment, either the
contact pads 49 or the conductive contacts are made using a
non-corroding, conductive material. Such materials include, for example,
carbon and conducting polymers. Preferred non-corroding materials include
graphite and vitreous carbon. The opposing contact pad or conductive
contact is made using carbon, a conducting polymer, a metal, such as
gold, palladium, or platinum group metal, or a metallic compound, such as
ruthenium dioxide. This configuration of contact pads and conductive
contacts typically reduces corrosion. Preferably, when the sensor is
placed in a 3 mM, and more preferably, in a 100 mM, NaCl solution, the
signal arising due to the corrosion of the contact pads and/or conductive
contacts is less than 3% of the signal generated by the sensor when
exposed to concentration of analyte in the normal physiological range.
For at least some subcutaneous glucose sensors, the current generated by
analyte in a normal physiological range ranges from 3 to 500 nA.
[0134] Each of the electrodes 58, 60, 62, as well as the two probe leads
68, 70 of the temperature probe 66 (described below), are connected to
contact pads 49 as shown in FIGS. 10 and 11. In one embodiment (not
shown), the contact pads 49 are on the same side of the substrate 50 as
the respective electrodes or temperature probe leads to which the contact
pads 49 are attached.
[0135] In other embodiments, the conductive traces 52 on at least one side
are connected through vias in the substrate to contact pads 49a on the
opposite surface of the substrate 50, as shown in FIGS. 10 and 11. An
advantage of this configuration is that contact between the contacts on
the control unit and each of the electrodes 58, 60, 62 and the probe
leads 68,70 of the temperature probe 66 can be made from a single side of
the substrate 50.
[0136] In yet other embodiments (not shown), vias through the substrate
are used to provide contact pads on both sides of the substrate 50 for
each conductive trace 52. The vias connecting the conductive traces 52
with the contact pads 49a can be formed by making holes through the
substrate 50 at the appropriate points and then filling the holes with
conductive material 56.
[0137] Exemplary Electrode Configurations
[0138] A number of exemplary electrode configurations are described below,
however, it will be understood that other configurations may also be
used. In one embodiment, illustrated in FIG. 3A, the sensor 42 includes
two working electrodes 58a, 58b and one counter electrode 60, which also
functions as a reference electrode. In another embodiment, the sensor
includes one working electrode 58a, one counter electrode 60, and one
reference electrode 62, as shown in FIG. 3B. Each of these embodiments is
illustrated with all of the electrodes formed on the same side of the
substrate 50.
[0139] Alternatively, one or more of the electrodes may be formed on an
opposing side of the substrate 50. This may be convenient if the
electrodes are formed using two different types of conductive material 56
(e.g., carbon and silver/silver chloride). Then, at least in some
embodiments, only one type of conductive material 56 needs to be applied
to each side of the substrate 50, thereby reducing the number of steps in
the manufacturing process and/or easing the registration constraints in
the process. For example, if the working electrode 58 is formed using a
carbon-based conductive material 56 and the reference or
counter/reference electrode is formed using a silver/silver chloride
conductive material 56, then the working electrode and reference or
counter/reference electrode may be formed on opposing sides of the
substrate 50 for ease of manufacture.
[0140] In another embodiment, two working electrodes 58 and one counter
electrode 60 are formed on one side of the substrate 50 and one reference
electrode 62 and a temperature probe 66 are formed on an opposing side of
the substrate 50, as illustrated in FIG. 6. The opposing sides of the tip
of this embodiment of the sensor 42 are illustrated in FIGS. 7 and 8.
[0141] Sensing Layer
[0142] Some analytes, such as oxygen, can be directly electrooxidized or
electroreduced on the working electrode 58. Other analytes, such as
glucose and lactate, require the presence of at least one electron
transfer agent and/or at least one catalyst to facilitate the
electrooxidation or electroreduction of the analyte. Catalysts may also
be used for those analyte, such as oxygen, that can be directly
electrooxidized or electroreduced on the working electrode 58. For these
analytes, each working electrode 58 has a sensing layer 64 formed
proximate to or on a working surface of the working electrode 58.
Typically, the sensing layer 64 is formed near or on only a small portion
of the working electrode 58, often near a tip of the sensor 42. This
limits the amount of material needed to form the sensor 42 and places the
sensing layer 64 in the best position for contact with the
analyte-containing fluid (e.g., a body fluid, sample fluid, or carrier
fluid).
[0143] The sensing layer 64 includes one or more components designed to
facilitate the electrolysis of the analyte. The sensing layer 64 may
include, for example, a catalyst to catalyze a reaction of the analyte
and produce a response at the working electrode 58, an electron transfer
agent to indirectly or directly transfer electrons between the analyte
and the working electrode 58, or both.
[0144] The sensing layer 64 may be formed as a solid composition of the
desired components (e.g., an electron transfer agent and/or a catalyst).
These components are preferably non-leachable from the sensor 42 and more
preferably are immobilized on the sensor 42. For example, the components
may be immobilized on a working electrode 58. Alternatively, the
components of the sensing layer 64 may be immobilized within or between
one or more membranes or films disposed over the working electrode 58 or
the components may be immobilized in a polymeric or sol-gel matrix.
Examples of immobilized sensing layers are described in U.S. Pat. Nos.
5,262,035, 5,264,104, 5,264,105, 5,320,725, 5,593,852, and 5,665,222,
U.S. patent application Ser. No. 08/540,789, and PCT Patent Application
No. US98/02403 entitled "Soybean Peroxidase Electrochemical Sensor",
filed on Feb. 11, 1998, Attorney Docket No. M&G 12008.8WOI2, incorporated
herein by reference.
[0145] In some embodiments, one or more of the components of the sensing
layer 64 may be solvated, dispersed, or suspended in a fluid within the
sensing layer 64, instead of forming a solid composition. The fluid may
be provided with the sensor 42 or may be absorbed by the sensor 42 from
the analyte-containing fluid.
[0146] Preferably, the components which are solvated, dispersed, or
suspended in this type of sensing layer 64 are non-leachable from the
sensing layer. Non-leachability may be accomplished, for example, by
providing barriers (e.g., the electrode, substrate, membranes, and/or
films) around the sensing layer which prevent the leaching of the
components of the sensing layer 64. One example of such a barrier is a
microporous membrane or film which allows diffusion of the analyte into
the sensing layer 64 to make contact with the components of the sensing
layer 64, but reduces or eliminates the diffusion of the sensing layer
components (e.g., a electron transfer agent and/or a catalyst) out of the
sensing layer 64.
[0147] A variety of different sensing layer configurations can be used. In
one embodiment, the sensing layer 64 is deposited on the conductive
material 56 of a working electrode 58a, as illustrated in FIGS. 3A and
3B. The sensing layer 64 may extend beyond the conductive material 56 of
the working electrode 58a. In some cases, the sensing layer 64 may also
extend over the counter electrode 60 or reference electrode 62 without
degrading the performance of the glucose sensor. For those sensors 42
which utilize channels 54 within which the conductive material 56 is
deposited, a portion of the sensing layer 64 may be formed within the
channel 54 if the conductive material 56 does not fill the channel 54.
[0148] A sensing layer 64 in direct contact with the working electrode 58a
may contain an electron transfer agent to transfer electrons directly or
indirectly between the analyte and the working electrode, as well as a
catalyst to facilitate a reaction of the analyte. For example, a glucose,
lactate, or oxygen electrode may be formed having a sensing layer which
contains a catalyst, such as glucose oxidase, lactate oxidase, or
laccase, respectively, and an electron transfer agent that facilitates
the electrooxidation of the glucose, lactate, or oxygen, respectively.
[0149] In another embodiment, the sensing layer 64 is not deposited
directly on the working electrode 58a. Instead, the sensing layer 64 is
spaced apart from the working electrode 58a, as illustrated in FIG. 4A,
and separated from the working electrode 58a by a separation layer 61.
The separation layer 61 typically includes one or more membranes or
films. In addition to separating the working electrode 58a from the
sensing layer 64, the separation layer 61 may also act as a mass
transport limiting layer or an interferent eliminating layer, as
described below.
[0150] Typically, a sensing layer 64, which is not in direct contact with
the working electrode 58a, includes a catalyst that facilitates a
reaction of the analyte. However, this sensing layer 64 typically does
not include an electron transfer agent that transfers electrons directly
from the working electrode 58a to the analyte, as the sensing layer 64 is
spaced apart from the working electrode 58a. One example of this type of
sensor is a glucose or lactate sensor which includes an enzyme (e.g.,
glucose oxidase or lactate oxidase, respectively) in the sensing layer
64. The glucose or lactate reacts with a second compound (e.g., oxygen)
in the presence of the enzyme. The second compound is then
electrooxidized or electroreduced at the electrode. Changes in the signal
at the electrode indicate changes in the level of the second compound in
the fluid and are proportional to changes in glucose or lactate level
and, thus, correlate to the analyte level.
[0151] In another embodiment, two sensing layers 63, 64 are used, as shown
in FIG. 4B. Each of the two sensing layers 63, 64 may be independently
formed on the working electrode 58a or in proximity to the working
electrode 58a. One sensing layer 64 is typically, although not
necessarily, spaced apart from the working electrode 58a. For example,
this sensing layer 64 may include a catalyst which catalyzes a reaction
of the analyte to form a product compound. The product compound is then
electrolyzed in the second sensing layer 63 which may include an electron
transfer agent to transfer electrons between the working electrode 58a
and the product compound and/or a second catalyst to catalyze a reaction
of the product compound to generate a signal at the working electrode
58a.
[0152] For example, a glucose or lactate sensor may include a first
sensing layer 64 which is spaced apart from the working electrode and
contains an enzyme, for example, glucose oxidase or lactate oxidase. The
reaction of glucose or lactate in the presence of the appropriate enzyme
forms hydrogen peroxide. A second sensing layer 63 is provided directly
on the working electrode 58a and contains a peroxidase enzyme and an
electron transfer agent to generate a signal at the electrode in response
to the hydrogen peroxide. The level of hydrogen peroxide indicated by the
sensor then correlates to the level of glucose or lactate. Another sensor
which operates similarly can be made using a single sensing layer with
both the glucose or lactate oxidase and the peroxidase being deposited in
the single sensing layer.
[0153] Examples of such sensors are described in U.S. Pat. No. 5,593,852,
U.S. patent application Ser. No. 08/540,789, and PCT Patent Application
No. US98/02403 entitled "Soybean Peroxidase Electrochemical Sensor",
filed on Feb. 11, 1998, Attorney Docket No. M&G 12008.8WOI2, incorporated
herein by reference.
[0154] In some embodiments, one or more of the working electrodes 58b do
not have a corresponding sensing layer 64, as shown in FIGS. 3A and 4A,
or have a sensing layer (not shown) which does not contain one or more
components (e.g., an electron transfer agent or catalyst) needed to
electrolyze the analyte. The signal generated at this working electrode
58b typically arises from interferents and other sources, such as ions,
in the fluid, and not in response to the analyte (because the analyte is
not electrooxidized or electroreduced). Thus, the signal at this working
electrode 58b corresponds to a background signal. The background signal
can be removed from the analyte signal obtained from other working
electrodes 58a that are associated with fully-functional sensing layers
64 by, for example, subtracting the signal at working electrode 58b from
the signal at working electrode 58a.
[0155] Sensors having multiple working electrodes 58a may also be used to
obtain more precise results by averaging the signals or measurements
generated at these working electrodes 58a. In addition, multiple readings
at a single working electrode 58a or at multiple working electrodes may
be averaged to obtain more precise data.
[0156] Electron Transfer Agent
[0157] In many embodiments, the sensing layer 64 contains one or more
electron transfer agents in contact with the conductive material 56 of
the working electrode 58, as shown in FIGS. 3A and 3B. In some
embodiments of the invention, there is little or no leaching of the
electron transfer agent away from the working electrode 58 during the
period in which the sensor 42 is implanted in the patient. A diffusing or
leachable (i.e., releasable) electron transfer agent often diffuses into
the analyte-containing fluid, thereby reducing the effectiveness of the
electrode by reducing the sensitivity of the sensor over time. In
addition, a diffusing or leaching electron transfer agent in an
implantable sensor 42 may also cause damage to the patient. In these
embodiments, preferably, at least 90%, more preferably, at least 95%,
and, most preferably, at least 99%, of the electron transfer agent
remains disposed on the sensor after immersion in the analyte-containing
fluid for 24 hours, and, more preferably, for 72 hours. In particular,
for an implantable sensor, preferably, at least 90%, more preferably, at
least 95%, and most preferably, at least 99%, of the electron transfer
agent remains disposed on the sensor after immersion in the body fluid at
37.degree. C. for 24 hours, and, more preferably, for 72 hours.
[0158] In some embodiments of the invention, to prevent leaching, the
electron transfer agents are bound or otherwise immobilized on the
working electrode 58 or between or within one or more membranes or films
disposed over the working electrode 58. The electron transfer agent may
be immobilized on the working electrode 58 using, for example, a
polymeric or sol-gel immobilization technique. Alternatively, the
electron transfer agent may be chemically (e.g., ionically, covalently,
or coordinatively) bound to the working electrode 58, either directly or
indirectly through another molecule, such as a polymer, that is in turn
bound to the working electrode 58.
[0159] Application of the sensing layer 64 on a working electrode 58a is
one method for creating a working surface for the working electrode 58a,
as shown in FIGS. 3A and 3B. The electron transfer agent mediates the
transfer of electrons to electrooxidize or electroreduce an analyte and
thereby permits a current flow between the working electrode 58 and the
counter electrode 60 via the analyte. The mediation of the electron
transfer agent facilitates the electrochemical analysis of analytes which
are not suited for direct electrochemical reaction on an electrode.
[0160] In general, the preferred electron transfer agents are
electroreducible and electrooxidizable ions or molecules having redox
potentials that are a few hundred millivolts above or below the redox
potential of the standard calomel electrode (SCE). Preferably, the
electron transfer agents are not more reducing than about -150 mV and not
more oxidizing than about +400 mV versus SCE.
[0161] The electron transfer agent may be organic, organometallic, or
inorganic. Examples of organic redox species are quinones and species
that in their oxidized state have quinoid structures, such as Nile blue
and indophenol. Some quinones and partially oxidized quinhydrones react
with functional groups of proteins such as the thiol groups of cysteine,
the amine groups of lysine and arginine, and the phenolic groups of
tyrosine which may render those redox species unsuitable for some of the
sensors of the present invention because of the presence of the
interfering proteins in an analyte-containing fluid. Usually substituted
quinones and molecules with quinoid structure are less reactive with
proteins and are preferred. A preferred tetrasubstituted quinone usually
has carbon atoms in positions 1, 2, 3, and 4.
[0162] In general, electron transfer agents suitable for use in the
invention have structures or charges which prevent or substantially,
reduce the diffusional loss of the electron transfer agent during the
period of time that the sample is being analyzed. The preferred electron
transfer agents include a redox species bound to a polymer which can in
turn be immobilized on the working electrode. The bond between the redox
species and the polymer may be covalent, coordinative, or ionic. Useful
electron transfer agents and methods for producing them are described in
U.S. Pat. Nos. 5,264,104; 5,356,786; 5,262,035; and 5,320,725,
incorporated herein by reference. Although any organic or organometallic
redox species can be bound to a polymer and used as an electron transfer
agent, the preferred redox species is a transition metal compound or
complex. The preferred transition metal compounds or complexes include
osmium, ruthenium, iron, and cobalt compounds or complexes. The most
preferred are osmium compounds and complexes. It will be recognized that
many of the redox species described below may also be used, typically
without a polymeric component, as electron transfer agents in a carrier
fluid or in a sensing layer of a sensor where leaching of the electron
transfer agent is acceptable.
[0163] One type of non-releasable polymeric electron transfer agent
contains a redox species covalently bound in a polymeric composition. An
example of this type of mediator is poly(vinylferrocene).
[0164] Another type of non-releasable electron transfer agent contains an
ionically-bound redox species. Typically, this type of mediator includes
a charged polymer coupled to an oppositely charged redox species.
Examples of this type of mediator include a negatively charged polymer
such as Nafion.RTM. (DuPont) coupled to a positively charged redox
species such as an osmium or ruthenium polypyridyl cation. Another
example of an ionically-bound mediator is a positively charged Polymer
such as quaternized poly(4-vinyl pyridine) or poly(1-vinyl imidazole)
coupled to a negatively charged redox species such as ferricyanide or
ferrocyanide. The preferred ionically-bound redox species is a highly
charged redox species bound within an oppositely charged redox polymer.
[0165] In another embodiment of the invention, suitable non-releasable
electron transfer agents include a redox species coordinatively bound to
a polymer. For example, the mediator may be formed by coordination of an
osmium or cobalt 2, 2'-bipyridyl complex to poly(1-vinyl imidazole) or
poly(4-vinyl pyridine).
[0166] The preferred electron transfer agents are osmium transition metal
complexes with one or more ligands, each ligand having a
nitrogen-containing heterocycle such as 2,2'-bipyridine,
1,10-phenanthroline, or derivatives thereof Furthermore, the preferred
electron transfer agents also have one or more ligands covalently bound
in a polymer, each ligand having at least one nitrogen-containing
heterocycle, such as pyridine, imidazole, or derivatives thereof. These
preferred electron transfer agents exchange electrons rapidly between
each other and the working electrodes 58 so that the complex can be
rapidly oxidized and reduced.
[0167] One example of a particularly useful electron transfer agent
includes (a) a polymer or copolymer having pyridine or imidazole
functional groups and (b) osmium cations complexed with two ligands, each
ligand containing 2,2'-bipyridine. 1,10-phenanthroline, or derivatives
thereof, the two ligands not necessarily being the same. Preferred
derivatives of 2,2.degree.-bipyridine for complexation with the osmium
cation are 4,4'-dimethyl-2,2'-bipyridine and mono-, di-, and
polyalkoxy-2,2'-bipyridines, such as 4,4'-dimethoxy-2,2'-bipyridine.
Preferred derivatives of 1,10-phenanthroline for complexation with the
osmium cation are 4,7-dimethyl-1,10-phenanthroline and mono, di-, and
polyalkoxy-1,10-phenanthrolines, such as 4,7-dimethoxy-1,10-phenanthrolin-
e. Preferred polymers for complexation with the osmium cation include
polymers and copolymers of poly(1-vinyl imidazole) (referred to as "PVI")
and poly(4-vinyl pyridine) (referred to as "PVP"). Suitable copolymer
substituents of poly(1-vinyl imidazole) include acrylonitrile,
acrylanide, and substituted or quaternized N-vinyl imidazole. Most
preferred are electron transfer agents with osmium complexed to a polymer
or copolymer of poly(1-vinyl imidazole).
[0168] The preferred electron transfer agents have a redox potential
ranging from -100 mV to about +150 mV versus the standard calomel
electrode (SCE). Preferably, the potential of the electron transfer agent
ranges from -100 mV to +150 mV and more preferably, the potential ranges
from -50 mV to +50 mV. The most preferred electron transfer agents have
osmium redox centers and a redox potential ranging from +50 mV to -150 mV
versus SCE.
[0169] Catalyst
[0170] The sensing layer 64 may also include a catalyst which is capable
of catalyzing a reaction of the analyte. The catalyst may also, in some
embodiments, act as an electron transfer agent. One example of a suitable
catalyst is an enzyme which catalyzes a reaction of the analyte. For
example, a catalyst, such as a glucose oxidase, glucose dehydrogenase
(e.g., pyrroloquinoline quinone glucose dehydrogenase (PQQ)), or
oligosaccharide dehydrogenase, may be used when the analyte is glucose. A
lactate oxidase or lactate dehydrogenase may be used when the analyte is
lactate. Laccase may be used when the analyte is oxygen or when oxygen is
generated or consumed in response to a reaction of the analyte.
[0171] Preferably, the catalyst is non-leachably disposed on the sensor,
whether the catalyst is part of a solid sensing layer in the sensor or
solvated in a fluid within the sensing layer. More preferably, the
catalyst is immobilized within the sensor (e.g. on the electrode and/or
within or between a membrane or film) to prevent unwanted leaching of the
catalyst away from the working electrode 58 and into the patient. This
may be accomplished, for example, by attaching the catalyst to a polymer,
cross linking the catalyst with another electron transfer agent (which,
as described above, can be polymeric), and/or providing one or more
barrier membranes or films with pore sizes smaller than the catalyst.
[0172] As described above, a second catalyst may also be used. This second
catalyst is often used to catalyze a reaction of a product compound
resulting from the catalyzed reaction of the analyte. The second catalyst
typically operates with an electron transfer agent to electrolyze the
product compound to generate a signal at the working electrode.
Alternatively, the second catalyst may be provided in an
interferent-eliminating layer to catalyze reactions that remove
interferents, as described below.
[0173] One embodiment of the invention is an electrochemical sensor in
which the catalyst is mixed or dispersed in the conductive material 56
which forms the conductive trace 52 of a working electrode 58. This may
be accomplished, for example, by mixing a catalyst, such as an enzyme, in
a carbon ink and applying the mixture into a channel 54 on the surface of
the substrate 50. Preferably, the catalyst is immobilized in the channel
53 so that it can not leach away from the working electrode 58. This may
be accomplished, for example, by curing a binder in the carbon ink using
a curing technique appropriate-to the binder. Curing techniques include,
for example, evaporation of a solvent or dispersant, exposure to
ultraviolet light, or exposure to heat. Typically, the mixture is applied
under conditions that do not substantially degrade the catalyst. For
example, the catalyst may be an enzyme that is heat-sensitive. The enzyme
and conductive material mixture should be applied and cured, preferably,
without sustained periods of heating. The mixture may be cured using
evaporation or UV curing techniques or by the exposure to heat that is
sufficiently short that the catalyst is not substantially degraded.
[0174] Another consideration for in vivo analyte sensors is the
thermostability of the catalyst. Many enzymes have only limited stability
at biological temperatures. Thus, it may be necessary to use large
amounts of the catalyst and/or use a catalyst that is thermostable at the
necessary temperature (e.g., 37.degree. C. or higher for normal body
temperature). A thermostable catalyst may be defined as a catalyst which
loses less than 5% of its activity when held at 37.degree. C. for at
least one hour, preferably, at least one day, and more preferably at
least three days. One example of a thermostable catalyst is soybean
peroxidase. This particular thermostable catalyst may be used in a
glucose or lactate sensor when combined either in the same or separate
sensing layers with glucose or lactate oxidase or dehydrogenase. A
further description of thermostable catalysts and their use in
electrochemical inventions is found in U.S. Pat. No. 5,665,222 U.S.
patent application Ser. No. 08/540,789, and PCT Application No.
US98/02403 entitled "Soybean Peroxidase Electrochemical Sensor", filed on
Feb. 11, 1998, Attorney Docket No. M&G 12008.8WOI2.
[0175] Electrolysis of the Analyte
[0176] To electrolyze the analyte, a potential (versus a reference
potential) is applied across the working and counter electrodes 58, 60.
The minimum magnitude of the applied potential is often dependent on the
particular electron transfer agent, analyte (if the analyte is directly
electrolyzed at the electrode), or second compound (if a second compound,
such as oxygen or hydrogen peroxide, whose level is dependent on the
analyte level, is directly electrolyzed at the electrode). The applied
potential usually equals or is more oxidizing or reducing, depending on
the desired electrochemical reaction, than the redox potential of the
electron transfer agent, analyte, or second compound, whichever is
directly electrolyzed at the electrode. The potential at the working
electrode is typically large enough to drive the electrochemical reaction
to or near completion.
[0177] The magnitude of the potential may optionally be limited to prevent
significant (as determined by the current generated in response to the
analyte) electrochemical reaction of interferents, such as urate,
ascorbate, and acetaminophen. The limitation of the potential may be
obviated if these interferents have been removed in another way, such as
by providing an interferent-limiting barrier, as described below, or by
including a working electrode 58b (see FIG. 3A) from which a background
signal may be obtained.
[0178] When a potential is applied between the working electrode 58 and
the counter electrode 60, an electrical current will flow. The current is
a result of the electrolysis of the analyte or a second compound whose
level is affected by the analyte. In one embodiment, the electrochemical
reaction occurs via an electron transfer agent and the optional catalyst.
Many analytes B are oxidized (or reduced) to products C by an electron
transfer agent species A in the presence of an appropriate catalyst
(e.g., an enzyme). The electron transfer agent A is then oxidized (or
reduced) at the electrode. Electrons are collected by (or removed from)
the electrode and the resulting current is measured. This process is
illustrated by reaction equations (1) and (2) (similar equations may be
written for the reduction of the analyte B by a redox mediator A in the
presence of a catalyst): 1
[0179] As an example, an electrochemical sensor may be based on the
reaction of a glucose molecule with two non-leachable ferricyanide anions
in the presence of glucose oxidase to produce two non-leachable
ferrocyanide anions, two hydrogen ions, and gluconolactone. The amount of
glucose present is assayed by electrooxidizing the non-leachable
ferrocyanide anions to non-leachable ferricyanide anions and measuring
the current.
[0180] In another embodiment, a second compound whose level is affected by
the analyte is electrolyzed at the working electrode. In some cases, the
analyte D and the second compound, in this case, a reactant compound E,
such as oxygen, react in the presence of the catalyst, as shown in
reaction equation (3). 2
[0181] The reactant compound E is then directly oxidized (or reduced) at
the working electrode. as shown in reaction equation (4) electrode 3
[0182] Alternatively, the reactant compound E is indirectly oxidized (or
reduced) using an electron transfer agent H (optionally in the presence
of a catalyst), that is subsequently reduced or oxidized at the
electrode, as shown in reaction equations (5) and (6). 4
[0183] In either case, changes in the concentration of the reactant
compound, as indicated by the signal at the working electrode, correspond
inversely to changes in the analyte (i.e., as the level of analyte
increase then the level of reactant compound and the signal at the
electrode decreases.)
[0184] In other embodiments, the relevant second compound is a product
compound F, as shown in reaction equation (3). The product compound F is
formed by the catalyzed reaction of analyte D and then be directly
electrolyzed at the electrode or indirectly electrolyzed using an
electron transfer agent and, optionally, a catalyst. In these
embodiments, the signal arising from the direct or indirect electrolysis
of the product compound F at the working electrode corresponds directly
to the level of the analyte (unless there are other sources of the
product compound). As the level of analyte increases, the level of the
product compound and signal at the working electrode increases.
[0185] Those skilled in the art will recognize that there are many
different reactions that will achieve the same result; namely the
electrolysis of an analyte or a compound whose level depends on the level
of the analyte. Reaction equations (1) through (6) illustrate
non-limiting examples of such reactions.
[0186] Temperature Probe
[0187] A variety of optional items may be included in the sensor. One
optional item is a temperature probe 66 (FIGS. 8 and 11). The temperature
probe 66 may be made using a variety of known designs and materials. One
exemplary temperature probe 66 is formed using two probe leads 68, 70
connected to each other through a temperature-dependent element 72 that
is formed using a material with a temperature-dependent characteristic.
An example of a suitable temperature-dependent characteristic is the
resistance of the temperature-dependent element 72.
[0188] The two probe leads 68, 70 are typically formed using a metal, an
alloy, a semimetal, such as graphite, a degenerate or highly doped
semiconductor, or a small-band gap semiconductor. Examples of suitable
materials include gold, silver, ruthenium oxide, titanium nitride,
titanium dioxide, indium doped tin oxide, tin doped indium oxide, or
graphite. The temperature-dependent element 72 is typically made using a
fine trace (e.g., a conductive trace that has a smaller cross-section
than that of the probe leads 68, 70) of the same conductive material as
the probe leads, or another material such as a carbon ink, a carbon
fiber, or platinum, which has a temperature-dependent characteristic,
such as resistance, that provides a temperature-dependent signal when a
voltage source is attached to the two probe leads 68, 70 of the
temperature probe 66. The temperature-dependent characteristic of the
temperature-dependent element 72 may either increase or decrease with
temperature. Preferably, the temperature dependence of the characteristic
of the temperature-dependent element 72 is approximately linear with
temperature over the expected range of biological temperatures (about 25
to 45.degree. C.), although this is not required.
[0189] Typically, a signal (e.g., a current) having an amplitude or other
property that is a function of the temperature can be obtained by
providing a potential across the two probe leads 68, 70 of the
temperature probe 66. As the temperature changes, the
temperature-dependent characteristic of the temperature-dependent element
72 increases or decreases with a corresponding change in the signal
amplitude. The signal from the temperature probe 66 (e.g., the amount of
current flowing through the probe) may be combined with the signal
obtained from the working electrode 58 by, for example, scaling the
temperature probe signal and then adding or subtracting the scaled
temperature probe signal from the signal at the working electrode 58. In
this manner, the temperature probe 66 can provide a temperature
adjustment for the output from the working electrode 58 to offset the
temperature dependence of the working electrode 58.
[0190] One embodiment of the temperature probe includes probe leads 68, 70
formed as two spaced-apart channels with a temperature-dependent element
72 formed as a cross-channel connecting the two spaced-apart channels, as
illustrated in FIG. 8. The two spaced-apart channels contain a conductive
material, such as a metal, alloy, semimetal, degenerate semiconductor, or
metallic compound. The cross-channel may contain the same material
(provided the cross-channel has a smaller cross-section than the two
spaced-apart channels) as the probe leads 68, 70. In other embodiments,
the material in the cross-channel is different than the material of the
probe leads 68, 70.
[0191] One exemplary method for forming this particular temperature probe
includes forming the two spaced-apart channels and then filling them with
the metallic or alloyed conductive material. Next, the cross-channel is
formed and then filled with the desired material. The material in the
cross-channel overlaps with the conductive material in each of the two
spaced-apart channels to form an electrical connection.
[0192] For proper operation of the temperature probe 66, the
temperature-dependent element 72 of the temperature probe 66 can not be
shorted by conductive material formed between the two probe leads 68, 70.
In addition, to prevent conduction between the two probe leads 68, 70 by
ionic species within the body or sample fluid, a covering may be provided
over the temperature-dependent element 72, and preferably over the
portion of the probe leads 68, 70 that is implanted in the patient. The
covering may be, for example, a non-conducting film disposed over the
temperature-dependent element 72 and probe leads 68, 70 to prevent the
ionic conduction. Suitable non-conducting films include, for example,
Kapton.TM. polyimide films (DuPont. Wilmington, Del.).
[0193] Another method for eliminating or reducing conduction by ionic
species in the body or sample fluid is to use an ac voltage source
connected to the probe leads 68, 70. In this way, the positive and
negative ionic species are alternately attracted and repelled during each
half cycle of the ac voltage. This results in no net attraction of the
ions in the body or sample fluid to the temperature probe 66. The maximum
amplitude of the ac current through the temperature-dependent element 72
may then be used to correct the measurements from the working electrodes
58.
[0194] The temperature probe can be placed on the same substrate as the
electrodes. Alternatively, a temperature probe may be placed on a
separate substrate. In addition, the temperature probe may be used by
itself or in conjunction with other devices.
[0195] Another embodiment of a temperature probe utilizes the temperature
dependence of the conductivity of a solution (e.g., blood or interstitial
fluid). Typically, the conductivity of an electrolyte-containing solution
is dependent on the temperature of the solution, assuming that the
concentration of electrolytes is relatively constant. Blood, interstitial
fluid, and other bodily fluids are solutions with relatively constant
levels of electrolytes. Thus, a sensor 42 can include two or more
conductive traces (not shown) which are spaced apart by a known distance.
A portion of these conductive traces is exposed to the solution and the
conductivity between the exposed portions of the conductive traces is
measured using known techniques (e.g., application of a constant or known
current or potential and measurement of the resulting potential or
current, respectively, to determine the conductivity).
[0196] A change in conductivity is related to a change in temperature.
This relation can be modeled using linear, quadratic, exponential, or
other relations. The parameters for this relationship typically do not
vary significantly between most people. The calibration for the
temperature probe can be determined by a variety of methods, including,
for example, calibration of each sensor 42 using an independent method of
determining temperature (e.g., a thermometer, an optical or electrical
temperature detector, or the temperature probe 66, described above) or
calibrating one sensor 42 and using that calibration for all other
sensors in a batch based on uniformity in geometry.
[0197] Biocompatible Layer
[0198] An optional film layer 75 is formed over at least that portion of
the sensor 42 which is subcutaneously inserted into the patient, as shown
in FIG. 9. This optional film layer 74 may serve one or more functions.
The film layer 74 prevents the penetration of large biomolecules into the
electrodes. This is accomplished by using a film layer 74 having a pore
size that is smaller than the biomolecules that are to be excluded. Such
biomolecules may foul the electrodes and/or the sensing layer 64 thereby
reducing the effectiveness of the sensor 42 and altering the expected
signal amplitude for a given analyte concentration. The fouling of the
working electrodes 58 may also decrease the effective life of the sensor
42. The biocompatible layer 74 may also prevent protein adhesion to the
sensor 42, formation of blood clots, and other undesirable interactions
between the sensor 42 and body.
[0199] For example, the sensor may be completely or partially coated on
its exterior with a biocompatible coating. A preferred biocompatible
coating is a hydrogel which contains at least 20 wt. % fluid when in
equilibrium with the analyte-containing fluid. Examples of suitable
hydrogels are described in U.S. Pat. No. 5,593,852, incorporated herein
by reference, and include crosslinked polyethylene oxides, such as
polyethylene oxide tetraacrylate.
[0200] Interferent-Eliminating Layer
[0201] An interferent-eliminating layer (not shown) may be included in the
sensor 42. The interferent-eliminating layer may be incorporated in the
biocompatible layer 75 or in the mass transport limiting layer 74
(described below) or may be a separate layer. Interferents are molecules
or other species that are electroreduced or electrooxidized at the
electrode, either directly or via an electron transfer agent, to produce
a false signal. In one embodiment, a film or membrane prevents the
penetration of one or more interferents into the region around the
working electrodes 58. Preferably, this type of interferent-eliminating
layer is much less permeable to one or more of the interferents than to
the analyte.
[0202] The interferent-eliminating layer may include ionic components,
such as Nafion.RTM., incorporated into a polymeric matrix to reduce the
permeability of the interferent-eliminating layer to ionic interferents
having the same charge as the ionic components. For example, negatively
charged compounds or compounds that form negative ions may be
incorporated in the interferent-eliminating layer to reduce the
permeation of negative species in the body or sample fluid.
[0203] Another example of an interferent-eliminating layer includes a
catalyst for catalyzing a reaction which removes interferents. One
example of such a catalyst is a peroxidase. Hydrogen peroxide reacts with
interferents, such as acetaminophen, urate, and ascorbate. The hydrogen
peroxide may be added to the analyte-containing fluid or may be generated
in situ, by, for example, the reaction of glucose or lactate in the
presence of glucose oxidase or lactate oxidase, respectively. Examples of
interferent eliminating layers include a peroxidase enzyme crosslinked
(a) using gluteraldehyde as a crosslinking agent or (b) oxidation of
oligosaccharide groups in the peroxidase glycoenzyme with NaIO.sub.4,
followed by coupling of the aldehydes formed to hydrazide groups in a
polyacrylamide matrix to form hydrazones are describe in U.S. Pat. Nos.
5,262,305 and 5,356,786, incorporated herein by reference.
[0204] Mass Transport Limiting Layer
[0205] A mass transport limiting layer 74 may be included with the sensor
to act as a diffusion-limiting barrier to reduce the rate of mass
transport of the analyte, for example, glucose or lactate, into the
region around the working electrodes 58. By limiting the diffusion of the
analyte, the steady state concentration of the analyte in the proximity
of the working electrode 58 (which is proportional to the concentration
of the analyte in the body or sample fluid) can be reduced. This extends
the upper range of analyte concentrations that can still be accurately
measured and may also expand the range in which the current increases
approximately linearly with the level of the analyte.
[0206] It is preferred that the permeability of the analyte through the
film layer 74 vary little or not at all with temperature, so as to reduce
or eliminate the variation of current with temperature. For this reason,
it is preferred that in the biologically relevant temperature range from
about 25.degree. C. to about 45.degree. C. and most importantly from
30.degree. C. to 40.degree. C., neither the size of the pores in the film
nor its hydration or swelling change excessively. Preferably, the mass
transport limiting layer is made using a film that absorbs less than 5
wt. % of fluid over 24 hours. This may reduce or obviate any need for a
temperature probe. For implantable sensors, it is preferable that the
mass transport limiting layer is made using a film that absorbs less than
5 wt. % of fluid over 24 hours at 37.degree. C.
[0207] Particularly useful materials for the film layer 74 are membranes
that do not swell in the analyte-containing fluid that the sensor tests.
Suitable membranes include 3 to 20,000 nm diameter pores. Membranes
having 5 to 500 nm diameter pores with well-defined, uniform pore sizes
and high aspect ratios are preferred. In one embodiment, the aspect ratio
of the pores is preferably two or greater and more preferably five or
greater.
[0208] Well-defined and uniform pores can be made by track etching a
polymeric membrane using accelerated electrons, ions, or particles
emitted by radioactive nuclei. Most preferred are anisotropic, polymeric,
track etched membranes that expand less in the direction perpendicular to
the pores than in the direction of the pores when heated. Suitable
polymeric membranes included polycarbonate membranes from Poretics
(Livermore, CA, catalog number 19401, 0.01 .mu.m pore size polycarbonate
membrane) and Coming Costar Corp. (Cambridge, Mass., Nucleopore.TM. brand
membranes with 0.015 .mu.m pore size). Other polyolefin and polyester
films may be used. It is preferred that the permeability of the mass
transport limiting membrane changes no more than 4%, preferably, no more
than 3%, and, more preferably, no more than 2%, per .degree. C. in the
range from 30.degree. C. to 40.degree. C. when the membranes resides in
the subcutaneous interstitial fluid.
[0209] In some embodiments of the invention, the mass transport limiting
layer 74 may also limit the flow of oxygen into the sensor 42. This can
improve the stability of sensors 42 that are used in situations where
variation in the partial pressure of oxygen causes non-linearity in
sensor response. In these embodiments, the mass transport limiting layer
74 restricts oxygen transport by at least 40%, preferably at least 60%,
and more preferably at least 80%, than the membrane restricts transport
of the analyte. For a given type of polymer, films having a greater
density (e.g., a density closer to that of the crystalline polymer) are
preferred. Polyesters, such as polyethylene terephthalate, are typically
less permeable to oxygen and are, therefore, preferred over polycarbonate
membranes.
[0210] Anticlotting Agent
[0211] An implantable sensor may also, optionally, have an anticlotting
agent disposed on a portion the substrate which is implanted into a
patient. This anticlotting agent may reduce or eliminate the clotting of
blood or other body fluid around the sensor, particularly after insertion
of the sensor. Blood clots may foul the sensor or irreproducibly reduce
the amount of analyte which diffuses into the sensor. Examples of useful
anticlotting agents include heparin and tissue plasminogen activator
(TPA), as well as other known anticlotting agents.
[0212] The anticlotting agent may be applied to at least a portion of that
part of the sensor 42 that is to be implanted. The anticlotting agent may
be applied, for example, by bath, spraying, brushing, or dipping. The
anticlotting agent is allowed to dry on the sensor 42. The anticlotting
agent may be immobilized on the surface of the sensor or it may be
allowed to diffuse away from the sensor surface. Typically, the
quantities of anticlotting agent disposed on the sensor are far below the
amounts typically used for treatment of medical conditions involving
blood clots and, therefore, have only a limited, localized effect.
[0213] Sensor Lifetime
[0214] The sensor 42 may be designed to be a replaceable component in an
in vivo analyte monitor, and particularly in an implantable analyte
monitor. Typically, the sensor 42 is capable of operation over a period
of days. Preferably, the period of operation is at least one day, more
preferably at least three days, and most preferably at least one week.
The sensor 42 can then be removed and replaced with a new sensor. The
lifetime of the sensor 42 may be reduced by the fouling of the electrodes
or by the leaching of the electron transfer agent or catalyst. These
limitations on the longevity of the sensor 42 can be overcome by the use
of a biocompatible layer 75 or non-leachable electron transfer agent and
catalyst, respectively, as described above.
[0215] Another primary limitation on the lifetime of the sensor 42 is the
temperature stability of the catalyst. Many catalysts are enzymes, which
are very sensitive to the ambient temperature and may degrade at
temperatures of the patient's body (e.g., approximately 37.degree. C. for
the human body). Thus, robust enzymes should be used where available. The
sensor 42 should be replaced when a sufficient amount of the enzyme has
been deactivated to introduce an unacceptable amount of error in the
measurements.
[0216] Insertion Device
[0217] An insertion device 120 can be used to subcutaneously insert the
sensor 42 into the patient, as illustrated in FIG. 12. The insertion
device 120 is typically formed using structurally rigid materials, such
as metal or rigid plastic. Preferred materials include stainless steel
and ABS (acrylonitrile-butadiene-styrene) plastic. In some embodiments,
the insertion device 120 is pointed and/or sharp at the tip 121 to
facilitate penetration of the skin of the patient. A sharp, thin
insertion device may reduce pain felt by the patient upon insertion of
the sensor 42. In other embodiments, the tip 121 of the insertion device
120 has other shapes, including a blunt or flat shape. These embodiments
may be particularly useful when the insertion device 120 does not
penetrate the skin but rather serves as a structural support for the
sensor 42 as the sensor 42 is pushed into the skin.
[0218] The insertion device 120 may have a variety of cross-sectional
shapes, as shown in FIGS. 13A, 13B, and 13C. The insertion device 120
illustrated in FIG. 13A is a flat, planar, pointed strip of rigid
material which may be attached or otherwise coupled to the sensor 42 to
ease insertion of the sensor 42 into the skin of the patient, as well as
to provide structural support to the sensor 42 during insertion. The
insertion devices 120 of FIGS. 13B and 13C are U- or V-shaped implements
that support the sensor 42 to limit the amount that the sensor 42 may
bend or bow during insertion. The cross-sectional width 124 of the
insertion devices 120 illustrated in FIGS. 13B and 13C is typically 1 mm
or less, preferably 700 .mu.m or less, more preferably 500 .mu.m or less,
and most preferably 300 .mu.m or less. The cross-sectional height 126 of
the insertion device 120 illustrated in FIGS. 13B and 13C is typically
about 1 mm or less, preferably about 700 .mu.m or less, and more
preferably about 500 .mu.m or less.
[0219] The sensor 42 itself may include optional features to facilitate
insertion. For example, the sensor 42 may be pointed at the tip 123 to
ease insertion, as illustrated in FIG. 12. In addition, the sensor 42 may
include a barb 125 which helps retain the sensor 42 in the subcutaneous
tissue of the patient. The barb 125 may also assist in anchoring the
sensor 42 within the subcutaneous tissue of the patient during operation
of the sensor 42. However, the barb 125 is typically small enough that
little damage is caused to the subcutaneous tissue when the sensor 42 is
removed for replacement. The sensor 42 may also include a notch 127 that
can be used in cooperation with a corresponding structure (not shown) in
the insertion device to apply pressure against the sensor 42 during
insertion, but disengage as the insertion device 120 is removed. One
example of such a structure in the insertion device is a rod (not shown)
between two opposing sides of an insertion device 120 and at an
appropriate height of the insertion device 120.
[0220] In operation, the sensor 42 is placed within or next to the
insertion device 120 and then a force is provided against the insertion
device 120 and/or sensor 42 to carry the sensor 42 into the skin of the
patient. In one embodiment, the force is applied to the sensor 42 to push
the sensor into the skin, while the insertion device 120 remains
stationary and provides structural support to the sensor 42.
Alternatively, the force is applied to the insertion device 120 and
optionally to the sensor 42 to push a portion of both the sensor 4) and
the insertion device 120 through the skin of the patient and into the
subcutaneous tissue. The insertion device 120 is optionally pulled out of
the skin and subcutaneous tissue with the sensor 42 remaining in the
subcutaneous tissue due to frictional forces between the sensor 42 and
the patient's tissue. If the sensor 42 includes the optional barb 125,
then this structure may also facilitate the retention of the sensor 42
within the interstitial tissue as the barb catches in the tissue.
[0221] The force applied to the insertion device 120 and/or the sensor 42
may be applied manually or mechanically. Preferably, the sensor 42 is
reproducibly inserted through the skin of the patient. In one embodiment,
an insertion gun is used to insert the sensor. One example of an
insertion gun 200 for inserting a sensor 42 is shown in FIG. 26. The
insertion gun 200 includes a housing 202 and a carrier 204. The insertion
device 120 is typically mounted on the carrier 204 and the sensor 42 is
pre-loaded into the insertion device 120. The carrier 204 drives the
sensor 42 and, optionally, the insertion device 120 into the skin of the
patient using, for example, a cocked or wound spring, a burst of
compressed gas, an electromagnet repelled by a second magnet, or the
like, within the insertion gun 200. In some instances, for example, when
using a spring, the carrier 204 and insertion device may be moved,
cocked, or otherwise prepared to be directed towards the skin of the
patient.
[0222] After the sensor 42 is inserted, the insertion gun 200 may contain
a mechanism which pulls the insertion device 120 out of the skin of the
patient. Such a mechanism may use a spring, electromagnet, or the like to
remove the insertion device 120.
[0223] The insertion gun may be reusable. The insertion device 120 is
often disposable to avoid the possibility of contamination.
Alternatively, the insertion device 120 may be sterilized and reused. In
addition, the insertion device 120 and/or the sensor 42 may be coated
with an anticlotting agent to prevent fouling of the sensor 42.
[0224] In one embodiment, the sensor 42 is injected between 2 to 12 mm
into the interstitial tissue of the patient for subcutaneous
implantation. Preferably, the sensor is injected 3 to 9 mm, and more
preferably 5 to 7 mm, into the interstitial tissue. Other embodiments of
the invention, may include sensors implanted in other portions of the
patient, including, for example, in an artery, vein, or organ. The depth
of implantation varies depending on the desired implantation target.
[0225] Although the sensor 42 may be inserted anywhere in the body, it is
often desirable that the insertion site be positioned so that the on-skin
sensor control unit 44 can be concealed. In addition, it is often
desirable that the insertion site be at a place on the body with a low
density of nerve endings to reduce the pain to the patient. Examples of
preferred sites for insertion of the sensor 42 and positioning of the
on-skin sensor control unit 44 include the abdomen, thigh, leg, upper
arm, and shoulder.
[0226] An insertion angle is measured from the plane of the skin (i.e.,
inserting the sensor perpendicular to the skin would be a 90.degree.
insertion angle). Insertion angles usually range from 10 to 90.degree.,
typically from 15 to 60.degree., and often from 30 to 45.degree..
[0227] On-Skin Sensor Control Unit
[0228] The on-skin sensor control unit 44 is configured to be placed on
the skin of a patient. The on-skin sensor control unit 44 is optionally
formed in a shape that is comfortable to the patient and which may permit
concealment, for example, under a patient's clothing. The thigh, leg,
upper arm, shoulder, or abdomen are convenient parts of the patient's
body for placement of the on-skin sensor control unit 44 to maintain
concealment. However, the on-skin sensor control unit 44 may be
positioned on other portions of the patient's body. One embodiment of the
on-skin sensor control unit 44 has a thin, oval shape to enhance
concealment, as illustrated in FIGS. 14-16. However, other shapes and
sizes may be used.
[0229] The particular profile, as well as the height, width, length,
weight, and volume of the on-skin sensor control unit 44 may vary and
depends, at least in part, on the components and associated functions
included in the on-skin sensor control unit 44, as discussed below. For
example, in some embodiments, the on-skin sensor control unit 44 has a
height of 1.3 cm or less, and preferably 0.7 cm or less. In some
embodiments, the on-skin sensor control unit 44 has a weight of 90 grams
or less, preferably 45 grams or less, and more preferably 25 grams or
less. In some embodiments, the on-skin sensor control unit 44 has a
volume of about 15 cm.sup.3 or less, preferably about 10 cm.sup.-1 or
less, more preferably about 5 cm.sup.3 or less, and most preferably about
2.5 cm.sup.3 or less.
[0230] The on-skin sensor control unit 44 includes a housing 45, as
illustrated in FIGS. 14-16. The housing 45 is typically formed as a
single integral unit that rests on the skin of the patient. The housing
45 typically contains most or all of the electronic components, described
below, of the on-skin sensor control unit 44. The on-skin sensor control
unit 44 usually includes no additional cables or wires to other
electronic components or other devices. If the housing includes two or
more parts, then those parts typically fit together to form a single
integral unit.
[0231] The housing 45 of the on-skin sensor control unit 44, illustrated
in FIGS. 14-16, may be formed using a variety of materials, including,
for example, plastic and polymeric materials, particularly rigid
thermoplastics and engineering thermoplastics. Suitable materials
include, for example, polyvinyl chloride, polyethylene, polypropylene,
polystyrene, ABS polymers, and copolymers thereof The housing 45 of the
on-skin sensor control unit 44 may be formed using a variety of
techniques including, for example, injection molding, compression
molding, casting, and other molding methods. Hollow or recessed regions
may be formed in the housing 45 of the on-skin sensor control unit 44.
The electronic components of the on-skin sensor control unit 44,
described below, and/or other items, such as a battery or a speaker for
an audible alarm, may be placed in the hollow or recessed areas.
[0232] In some embodiments, conductive contacts 80 are provided on the
exterior of the housing 45. In other embodiments, the conductive contacts
80 are provided on the interior of the housing 45, for example, within a
hollow or recessed region.
[0233] In some embodiments, the electronic components and/or other items
are incorporated into the housing 45 of the on-skin sensor control unit
44 as the plastic or polymeric material is molded or otherwise formed. In
other embodiments, the electronic components and/or other items are
incorporated into the housing 45 as the molded material is cooling or
after the molded material has been reheated to make it pliable.
Alternatively, the electronic components and/or other items may be
secured to the housing 45 using fasteners, such as screws, nuts and
bolts, nails, staples, rivets, and the like or adhesives, such as contact
adhesives, pressure sensitive adhesives, glues, epoxies, adhesive resins,
and the like. In some cases, the electronic components and/or other items
are not affixed to the housing 45 at all.
[0234] In some embodiments, the housing 45 of the on-skin sensor control
unit 44 is a single piece. The conductive contacts 80 may be formed on
the exterior of the housing 45 or on the interior of the housing 45
provided there is a port 78 in the housing 45 through which the sensor 42
can be directed to access the conductive contacts 80.
[0235] In other embodiments, the housing 45 of the on-skin sensor control
unit 44 is formed in at least two separate portions that fit together to
form the housing 45, for example, a base 74 and a cover 76, as
illustrated in FIGS. 14-16. The two or more portions of the housing 45
may be entirely separate from each other. Alternatively, at least some of
the two or more portions of the housing 45 may be connected together, for
example, by a hinge, to facilitate the coupling of the portions to form
the housing 45 of the on-skin sensor control unit 44.
[0236] These two or more separate portions of the housing 45 of the
on-skin sensor control unit 44 may have complementary, interlocking
structures, such as, for example, interlocking ridges or a ridge on one
component and a complementary groove on another component, so that the
two or more separate components may be easily and/or firmly coupled
together. This may be useful, particularly if the components are taken
apart and fit together occasionally, for example, when a battery or
sensor 42 is replaced. However, other fasteners may also be used to
couple the two or more components together, including, for example,
screws, nuts and bolts, nails, staples, rivets, or the like. In addition,
adhesives, both permanent or temporary, may be used including, for
example, contact adhesives, pressure sensitive adhesives, glues, epoxies,
adhesive resins, and the like.
[0237] Typically, the housing 45 is at least water resistant to prevent
the flow of fluids into contact with the components in the housing,
including, for example, the conductive contacts 80. Preferably, the
housing is waterproof. In one embodiment, two or more components of the
housing 45, for example, the base 74 and the cover 76, fit together
tightly to form a hermetic, waterproof, or water resistant seal so that
fluids can not flow into the interior of the on-skin sensor control unit
44. This may be useful to avoid corrosion currents and/or degradation of
items within the on-skin sensor control unit 44, such as the conductive
contacts, the battery, or the electronic components, particularly when
the patient engages in such activities as showering, bathing, or
swimming.
[0238] Water resistant, as used herein, means that there is no penetration
of water through a water resistant seal or housing when immersed in water
at a depth of one meter at sea level. Waterproof, as used herein, means
that there is no penetration of water through the waterproof seal or
housing when immersed in water at a depth of ten meters, and preferably
fifty meters, at sea level. It is often desirable that the electronic
circuitry, power supply (e.g., battery), and conductive contacts of the
on-skin sensor control unit, as well as the contact pads of the sensor,
are contained in a water resistant, and preferably, a waterproof,
environment.
[0239] In addition to the portions of the housing 45, such as the base 74
and cover 76, there may be other individually-formed pieces of the
on-skin sensor control unit 44, which may be assembled during or after
manufacture. One example of an individually-formed piece is a cover for
electronic components that fits a recess in the base 74 or cover 76.
Another example is a cover for a battery provided in the base 74 or cover
76. These individually-formed pieces of the on-skin sensor control unit
44 may be permanently affixed, such as, for example, a cover for
electronic components, or removably affixed, such as, for example, a
removable cover for a battery, to the base 74, cover 76, or other
component of the on-skin sensor control unit 44. Methods for affixing
these individually-formed pieces include the use of fasteners, such as
screws, nuts and bolts, staples, nails, rivets, and the like, frictional
fasteners, such as tongue and groove structures, and adhesives, such as
contact adhesives, pressure sensitive adhesives, glues, epoxies, adhesive
resins, and the like.
[0240] One embodiment of the on-skin sensor control unit 44 is a
disposable unit complete with a battery for operating the unit. There are
no portions of the unit that the patient needs to open or remove, thereby
reducing the size of the unit and simplifying its construction. The
on-skin sensor control unit 44 optionally remains in a sleep mode prior
to use to conserve the battery's power. The on-skin sensor control unit
44 detects that it is being used and activates itself. Detection of use
may be through a number of mechanisms. These include, for example,
detection of a change in resistance across the electrical contacts,
actuation of a switch upon mating the on-skin sensor control unit 44 with
a mounting unit 77 (see FIGS. 27A and 28A). The on-skin sensor control
unit 44 is typically replaced when it no longer operates within threshold
limits, for example, if the battery or other power source does not
generate sufficient power. Often this embodiment of the on-skin sensor
control unit 44 has conductive contacts 80 on the exterior of the housing
45. Once the sensor 42 is implanted in the patient, the sensor control
unit 44 is placed over the sensor 42 with the conductive contacts 80 in
contact with the contact pads 49 of the sensor 42.
[0241] The on-skin sensor control unit 44 is typically attached to the
skin 75 of the patient, as illustrated in FIG. 17. The on-skin sensor
control unit 44 may be attached by a variety of techniques including, for
example, by adhering the on-skin sensor control unit 44 directly to the
skin 75 of the patient with an adhesive provided on at least a portion of
the housing 45 of the on-skin sensor control unit 44 which contacts the
skin 75 or by suturing the on-skin sensor control unit 44 to the skin 75
through suture openings (not shown) in the sensor control unit 44.
[0242] Another method of attaching the housing 45 of the on-skin sensor
control unit 44 to the skin 75 includes using a mounting unit, 77. The
mounting unit 77 is often a part of the on-skin sensor control unit 44.
One example of a suitable mounting unit 77 is a double-sided adhesive
strip, one side of which is adhered to a surface of the skin of the
patient and the other side is adhered to the on-skin sensor control unit
44. In this embodiment, the mounting unit 77 may have an optional opening
79 which is large enough to allow insertion of the sensor 42 through the
opening 79. Alternatively, the sensor may be inserted through a thin
adhesive and into the skin.
[0243] A variety of adhesives may be used to adhere the on-skin sensor
control unit 44 to the skin 75 of the patient, either directly or using
the mounting unit 77, including, for example, pressure sensitive
adhesives (PSA) or contact adhesives. Preferably, an adhesive is chosen
which is not irritating to all or a majority of patients for at least the
period of time that a particular sensor 42 is implanted in the patient.
Alternatively, a second adhesive or other skin-protecting compound may be
included with the mounting unit so that a patient, whose skin is
irritated by the adhesive on the mounting unit 77, can cover his skin
with the second adhesive or other skin-protecting compound and then place
the mounting unit 77 over the second adhesive or other skin-protecting
compound. This should substantially prevent the irritation of the skin of
the patient because the adhesive on the mounting unit 77 is no longer in
contact with the skin, but is instead in contact with the second adhesive
or other skin-protecting compound.
[0244] When the sensor 42 is changed, the on-skin sensor control unit 44
may be moved to a different position on the skin 75 of the patient, for
example, to avoid excessive irritation. Alternatively, the on-skin sensor
control unit 44 may remain at the same place on the skin of the patient
until it is determined that the unit 44 should be moved.
[0245] Another embodiment of a mounting unit 77 used in an on-skin sensor
control unit 44 is illustrated in FIGS. 27A and 27B. The mounting unit 77
and a housing 45 of an on-skin sensor control unit 44 are mounted
together in, for example, an interlocking manner, as shown in FIG. 27A.
The mounting unit 77 is formed, for example, using plastic or polymer
materials, including, for example, polyvinyl chloride, polyethylene,
polypropylene, polystyrene, ABS polymers, and copolymers thereof. The
mounting unit 77 may be formed using a variety of techniques including,
for example, injection molding, compression molding, casting, and other
molding methods.
[0246] The mounting unit 77 typically includes an adhesive on a bottom
surface of the mounting unit 77 to adhere to the skin of the patient or
the mounting unit 77 is used in conjunction with, for example,
double-sided adhesive tape or the like. The mounting unit 77 typically
includes an opening 79 through which the sensor 42 is inserted, as shown
in FIG. 27B. The mounting unit 77 may also include a support structure
220 for holding the sensor 42 in place and against the conductive
contacts 80 on the on-skin sensor control unit 42. The mounting unit 77,
also, optionally, includes a positioning structure 222, such as an
extension of material from the mounting unit 77, that corresponds to a
structure (not shown), such as an opening, on the sensor 42 to facilitate
proper positioning of the sensor 42, for example, by aligning the two
complementary structures.
[0247] In another embodiment, a coupled mounting unit 77 and housing 45 of
an on-skin sensor control unit 44 is provided on an adhesive patch 204
with an optional over 206 to protect and/or confine the housing 45 of the
on-skin sensor control unit 44, as illustrated in FIG. 28A. The optional
cover may contain an adhesive or other mechanism for attachment to the
housing 45 and/or mounting unit 77. The mounting unit 77 typically
includes an opening 49 through which a sensor 42 is disposed, as shown in
FIG. 28B. The opening 49 may optionally be configured to allow insertion
of the sensor 42 through the opening 49 using an insertion device 120 or
insertion gun 200 (see FIG. 26). The housing 45 of the on-skin sensor
control unit 44 has a base 74 and a cover 76, as illustrated in FIG. 28C.
A bottom view of the housing 45, as shown in FIG. 28D, illustrates ports
230 through which conductive contacts (not shown) extend to connect with
contact pads on the sensor 42. A board 232 for attachment of circuit
components may optionally be provided within the on-skin sensor control
unit 44, as illustrated in FIG. 28E.
[0248] In some embodiments, the adhesive on the on-skin sensor control
unit 44 and/or on any of the embodiments of the mounting unit 77 is water
resistant or waterproof to permit activities such as showering and/or
bathing while maintaining adherence of the on-skin sensor control unit 44
to the skin 75 of the patient and, at least in some embodiments,
preventing water from penetrating into the sensor control unit 44. The
use of a water resistant or waterproof adhesive combined with a water
resistant or waterproof housing 45 protects the components in the sensor
control unit 44 and the contact between the conductive contacts 80 and
the sensor 42 from damage or corrosion. An example of a non-irritating
adhesive that repels water is Tegaderm (3M, St. Paul, Minn.).
[0249] In one embodiment, the on-skin sensor control unit 44 includes a
sensor port 78 through which the sensor 42 enters the subcutaneous tissue
of the patient, as shown in FIGS. 14 to 16. The sensor 42 may be inserted
into the subcutaneous tissue of the patient through the sensor port 78.
The on-skin sensor control unit 44 may then be placed on the skin of the
patient with the sensor 42 being threaded through the sensor port 78. If
the housing 45 of the sensor 42 has, for example, a base 74 and a cover
76, then the cover 76 may be removed to allow the patient to guide the
sensor 42 into the proper position for contact with the conductive
contacts 80.
[0250] Alternatively, if the conductive contacts 80 are within the housing
45 the patient may slide the sensor 42 into the housing 45 until contact
is made between the contact pads 49 and the conductive contacts 80. The
sensor control unit 44 may have a structure which obstructs the sliding
of the sensor 42 further into the housing once the sensor 42 is properly
positioned with the contact pads 49 in contact with the conductive
contacts 80.
[0251] In other embodiments, the conductive contacts 80 are on the
exterior of the housing 45 (see e.g., FIGS. 27A-27B and 28A-28E). In
these embodiments, the patient guides the contacts pads 49 of the sensor
42 into contact with the conductive contacts 80. In some cases, a guiding
structure may be provided on the housing 45 which guides the sensor 42
into the proper position. An example of such a structure includes a set
of guiding rails extending from the housing 45 and having the shape of
the sensor 42.
[0252] In some embodiments, when the sensor 42 is inserted using an
insertion device 120 (see FIG. 12), the tip of the insertion device 120
or optional insertion gun 200 (see FIG. 26) is positioned against the
skin or the mounting unit 77 at the desired insertion point. In some
embodiments, the insertion device 120 is positioned on the skin without
any guide. In other embodiments, the insertion device 120 or insertion
gun 200 is positioned using guides (not shown) in the mounting unit 77 or
other portion of the on-skin sensor control unit 44. In some embodiments,
the guides, opening 79 in the mounting unit 77 and/or sensor port 78 in
the housing 45 of the on-skin sensor control unit 44 have a shape which
is complementary to the shape of the tip of the insertion device 120
and/or insertion gun 200 to limit the orientation of the insertion device
120 and/or insertion gun 200 relative to the opening 79 and/or sensor
port 78. The sensor can then be subcutaneously inserted into the patient
by matching the complementary shape of the opening 79 or sensor port 78
with the insertion device 120 and/or insertion gun 200.
[0253] In some embodiments, the shapes of a) the guides, opening 79, or
sensor port 78, and (b) the insertion device 120 or insertion gun 200 are
configured such that the two shapes can only be matched in a single
orientation. This aids in inserting the sensor 42 in the same orientation
each time a new sensor is inserted into the patient. This uniformity in
insertion orientation may be required in some embodiments to ensure that
the contact pads 49 on the sensor 42 are correctly aligned with
appropriate conductive contacts 80 on the on-skin sensor control unit 44.
In addition, the use of the insertion gun, as described above, may ensure
that the sensor 42 is inserted at a uniform, reproducible depth.
[0254] The sensor 42 and the electronic components within the on-skin
sensor control unit 44 are coupled via conductive contacts 80, as shown
in FIGS. 14-16. The one or more working electrodes 58, counter electrode
60 (or counter/reference electrode), optional reference electrode 62, and
optional temperature probe 66 are attached to individual conductive
contacts 80. In the illustrated embodiment of FIGS. 14-16, the conductive
contacts 80 are provided on the interior of the on-skin sensor control
unit 44. Other embodiments of the on-skin sensor control unit 44 have the
conductive contacts disposed on the exterior of the housing 45. The
placement of the conductive contacts 80 is such that they are in contact
with the contact pads 49 on the sensor 42 when the sensor 42 is properly
positioned within the on-skin sensor control unit 44.
[0255] In the illustrated embodiment of FIGS. 14-16, the base 74 and cover
76 of the on-skin sensor control unit 44 are formed such that, when the
sensor 42 is within the on-skin sensor control unit 44 and the base 74
and cover 76 are fitted together, the sensor 42 is bent. In this manner,
the contact pads 49 on the sensor 42 are brought into contact with the
conductive contacts 80 of the on-skin sensor control unit 44. The on-skin
sensor control unit 44 may optionally contain a support structure 82 to
hold, support, and/or guide the sensor 42 into the correct position.
[0256] Non-limiting examples of suitable conductive contacts 80 are
illustrated in FIGS. 19A-19D. In one embodiment, the conductive contacts
80 are pins 84 or the like, as illustrated in FIG. 19A, which are brought
into contact with the contact pads 49 on the sensor 42 when the
components of the on-skin sensor control unit 44, for example, the base
74 and cover 76, are fitted together. A support 82 may be provided under
the sensor 42 to promote adequate contact between the contact pads 49 on
the sensor 42 and the pins 84. The pins are typically made using a
conductive material, such as a metal or alloy, for example, copper,
stainless steel, or silver. Each pin has a distal end that extends from
the on-skin sensor control unit 44 for contacting the contact pads 49 on
the sensor 42. Each pin 84 also has a proximal end that is coupled to a
wire or other conductive strip that is, in turn, coupled to the rest of
the electronic components (e.g., the voltage source 95 and measurement
circuit 96 of FIGS. 18A and 18B) within the on-skin sensor control unit
44. Alternatively, the pins 84 may be coupled directly to the rest of the
electronics.
[0257] In another embodiment, the conductive contacts 80 are formed as a
series of conducting regions 88 with interspersed insulating regions 90,
as illustrated in FIG. 19B. The conducting regions 88 may be as large or
larger than the contact pads 49 on the sensor 42 to alleviate
registration concerns. However, the insulating regions 90 should have
sufficient width so that a single conductive region 88 does not overlap
with two contact pads 49 as determined based on the expected variation in
the position of the sensor 42 and contact pads 49 with respect to the
conductive contacts 80. The conducting regions 88 are formed using
materials such as metals, alloys, or conductive carbon. The insulating
regions 90 may be formed using known insulating materials including, for
example, insulating plastic or polymer materials.
[0258] In a further embodiment, a unidirectional conducting adhesive 92
may be used between the contact pads 49 on the sensor 42 and conductive
contacts 80 implanted or otherwise formed in the on-skin sensor control
unit 44, as shown in FIG. 19C.
[0259] In yet another embodiment, the conductive contacts 80 are
conductive members 94 that extend from a surface of the on-skin sensor
control unit 44 to contact the contact pads 49, as shown in FIG. 19D. A
variety of different shapes may be used for these members, however, they
should be electrically insulated from each other. The conductive members
94 may be made using metal, alloy, conductive carbon, or conducting
plastics and polymers.
[0260] Any of the exemplary conductive contacts 80 described above may
extend from either the upper surface of the interior of the on-skin
sensor control unit 44, as illustrated in FIG. 19A-19C, or from the lower
surface of the interior of the on-skin sensor control unit 44, as
illustrated in FIG. 19D, or from both the upper and lower surfaces of the
interior of the on-skin sensor control unit 44, particularly when the
sensor 42 has contact pads 49 on both sides of the sensor.
[0261] Conductive contacts 80 on the exterior of the housing 45 may also
have a variety of shapes as indicated in FIGS. 19E and 19F. For example,
the conductive contacts 80 may be embedded in (FIG. 19E) or extending out
of (FIG. 19F) the housing 45.
[0262] The conductive contacts 80 are preferably made using a material
which will not corrode due to contact with the contact pads 49 of the
sensor 42. Corrosion may occur when two different metals are brought in
contact. Thus, if the contact pads 49 are formed using carbon then the
preferred conductive contacts 80 may be made using any material,
including metals or alloys. However, if any of the contact pads 49 are
made with a metal or alloy then the preferred conductive contacts 80 for
coupling with the metallic contact pads are made using a non-metallic
conductive material, such as conductive carbon or a conductive polymer,
or the conductive contacts 80 and the contact pads 49 are separated by a
non-metallic material, such as a unidirectional conductive adhesive.
[0263] In one embodiment, electrical contacts are eliminated between the
sensor 42 and the on-skin sensor control unit 44. Power is transmitted to
the sensor via inductive coupling, using, for example, closely space
antennas (e.g., facing coils) (not shown) on the sensor and the on-skin
sensor control unit. Changes in the electrical characteristics of the
sensor control unit 44 (e.g., current) induce a changing magnetic field
in the proximity of the antenna. The changing magnetic field induces a
current in the antenna of the sensor. The close proximity of the sensor
and on-skin sensor control unit results in reasonably efficient power
transmission. The induced current in the sensor may be used to power
potentiostats, operational amplifiers, capacitors, integrated circuits,
transmitters, and other electronic components built into the sensor
structure. Data is transmitted back to the sensor control unit, using,
for example, inductive coupling via the same or different antennas and/or
transmission of the signal via a transmitter on the sensor. The use of
inductive coupling can eliminate electrical contacts between the sensor
and the on-skin sensor control unit. Such contacts are commonly a source
of noise and failure. Moreover, the sensor control unit may then be
entirely sealed which may increase the waterproofing of the on-skin
sensor control unit.
[0264] An exemplary on-skin sensor control unit 44 can be prepared and
used in the following manner. A mounting unit 77 having adhesive on the
bottom is applied to the skin. An insertion gun 200 (see FIG. 26)
carrying the sensor 42 and the insertion device 120 is positioned against
the mounting unit 77. The insertion gun 200 and mounting unit 77 are
optionally designed such that there is only one position in which the two
properly mate. The insertion gun 200 is activated and a portion of the
sensor 42 and optionally a portion of the insertion device 120 are driven
through the skin into, for example, the subcutaneous tissue. The
insertion gun 200 withdraws the insertion device 200, leaving the portion
of the sensor 42 inserted through the skin. The housing 45 of the on-skin
control unit 44 is then coupled to the mounting unit 77. Optionally, the
housing 45 and the mounting unit 77 are formed such that there is only
one position in which the two properly mate. The mating of the housing 45
and the mounting unit 77 establishes contact between the contact pads 49
(see e.g., FIG. 2) on the sensor 42 and the conductive contacts 80 on the
on-skin sensor control unit 44. Optionally, this action activates the
on-skin sensor control unit 44 to begin operation.
[0265] On-Skin Control Unit Electronics
[0266] The on-skin sensor control unit 44 also typically includes at least
a portion of the electronic components that operate the sensor 42 and the
analyte monitoring device system 40. One embodiment of the electronics in
the on-skin control unit 44 is illustrated as a block diagram in FIG.
18A. The electronic components of the on-skin sensor control unit 44
typically include a power supply 95 for operating the on-skin control
unit 44 and the sensor 42, a sensor circuit 97 for obtaining signals from
and operating the sensor 42, a measurement circuit 96 that converts
sensor signals to a desired format, and a processing circuit 109 that, at
minimum, obtains signals from the sensor circuit 97 and/or measurement
circuit 96 and provides the signals to an optional transmitter 98. In
some embodiments, the processing circuit 109 may also partially or
completely evaluate the signals from the sensor 42 and convey the
resulting data to the optional transmitter 98 and/or activate an optional
alarm system 94 (see FIG. 18B) if the analyte level exceeds a threshold.
The processing circuit 109 often includes digital logic circuitry.
[0267] The on-skin sensor control unit 44 may optionally contain a
transmitter 98 for transmitting the sensor signals or processed data from
the processing circuit 109 to a receiver/display unit 46, 48; a data
storage unit 102 for temporarily or permanently storing data from the
processing circuit 109; a temperature probe circuit 99 for receiving
signals from and operating a temperature probe 66; a reference voltage
generator 101 for providing a reference voltage for comparison with
sensor-generated signals; and/or a watchdog circuit 103 that monitors the
operation of the electronic components in the on-skin sensor control unit
44.
[0268] Moreover, the sensor control unit 44 often includes digital and/or
analog components utilizing semiconductor devices, such as transistors.
To operate these semiconductor devices, the on-skin control unit 44 may
include other components including, for example, a bias control generator
105 to correctly bias analog and digital semiconductor devices, an
oscillator 107 to provide a clock signal, and a digital logic and timing
component 109 to provide timing signals and logic operations for the
digital components of the circuit.
[0269] As an example of the operation of these components, the sensor
circuit 97 and the optional temperature probe circuit 99 provide raw
signals from the sensor 42 to the measurement circuit 96. The measurement
circuit 96 converts the raw signals to a desired format, using for
example, a current-to-voltage converter, current-to-frequency converter,
and/or a binary counter or other indicator that produces a signal
proportional to the absolute value of the raw signal. This may be used,
for example, to convert the raw signal to a format that can be used by
digital logic circuits. The processing circuit 109 may then, optionally,
evaluate the data and provide commands to operate the electronics.
[0270] FIG. 18B illustrates a block diagram of another exemplary on-skin
control unit 44 that also includes optional components such as a receiver
99 to receive, for example, calibration data; a calibration storage unit
100 to hold, for example, factory-set calibration data, calibration data
obtained via the receiver 99 and/or operational signals received, for
example, from a receiver/display unit 46, 48 or other external device; an
alarm system 104 for warning the patient; and a deactivation switch 111
to turn off the alarm system.
[0271] Functions of the analyte monitoring system 40 and the sensor
control unit 44 may be implemented using either software routines,
hardware components, or combinations thereof. The hardware components may
be implemented using a variety of technologies, including, for example,
integrated circuits or discrete electronic components. The use of
integrated circuits typically reduces the size of the electronics, which
in turn may result in a smaller on-skin sensor control unit 44.
[0272] The electronics in the on-skin sensor control unit 44 and the
sensor 42 are operated using a power supply 95. One example of a suitable
power supply 95 is a battery, for example, a thin circular battery, such
as those used in many watches, hearing aids, and other small electronic
devices. Preferably, the battery has a lifetime of at least 30 days, more
preferably, a lifetime of at least three months, and most preferably, a
lifetime of at least one year. The battery is often one of the largest
components in the on-skin control unit 44, so it is often desirable to
minimize the size of the battery. For example, a preferred battery's
thickness is 0.5 mm or less, preferably 0.35 mm or less, and most
preferably 0.2 mm or less. Although multiple batteries may be used, it is
typically preferred to use only one battery.
[0273] The sensor circuit 97 is coupled via the conductive contacts 80 of
the sensor control unit 44 to one or more sensors 42, 42'. Each of the
sensors represents, at minimum, a working electrode 58, a counter
electrode 60 (or counter/reference electrode), and an optional reference
electrode 62. When two or more sensors 42, 42' are used, the sensors
typically have individual working electrodes 58, but may share a counter
electrode 60, counter/reference electrode, and/or reference electrode 52.
[0274] The sensor circuit 97 receives signals from and operates the sensor
42 or sensors 42, 42'. The sensor circuit 97 may obtain signals from the
sensor 42 using amperometric, coulometric, potentiometric, voltammetric,
and/or other electrochemical techniques. The sensor circuit 97 is
exemplified herein as obtaining amperometric signals from the sensor 42,
however, it will be understood that the sensor circuit can be
appropriately configured for obtaining signals using other
electrochemical techniques. To obtain amperometric measurements, the
sensor circuit 97 typically includes a potentiostat that provides a
constant potential to the sensor 42. In other embodiments, the sensor
circuit 97 includes an amperostat that supplies a constant current to the
sensor 42 and can be used to obtain coulometric or potentiometric
measurements.
[0275] The signal from the sensor 42 generally has at least one
characteristic, such as, for example, current, voltage, or frequency,
which varies with the concentration of the analyte. For example, if the
sensor circuit 97 operates using amperometry, then the signal current
varies with analyte concentration. The measurement circuit 96 may include
circuitry which converts the information-carrying portion of the signal
from one characteristic to another. For example, the measurement circuit
96 may include a current-to-voltage or current-to-frequency converter.
The purpose of this conversion may be to provide a signal that is, for
example, more easily transmitted, readable by digital circuits, and/or
less susceptible to noise contributions.
[0276] One example of a standard current-to-voltage converter is provided
in FIG. 20A. In this converter, the signal from the sensor 42 is provided
at one input terminal 134 of an operational amplifier 130 ("op amp") and
coupled through a resistor 138 to an output terminal 136. This particular
current-to-voltage converter 131 may, however, be difficult to implement
in a small CMOS chip because resistors are often difficult to implement
on an integrated circuit. Typically, discrete resistor components are
used. However, the used of discrete components increases the space needed
for the circuitry.
[0277] An alternative current-to-voltage converter 141 is illustrated in
FIG. 20B. This converter includes an op amp 140 with the signal from the
sensor 42 provided at input terminal 144 and a reference potential
provided at input terminal 142. A capacitor 145 is placed between the
input terminal 144 and the output terminal 146. In addition, switches
147a, 147b, 149a, and 149b are provided to allow the capacitor to charge
and discharge at a rate determined by a clock (CLK) frequency. In
operation, during one half cycle, switches 147a and 147b close and
switches 149a and 149b open allowing the capacitor 145 to charge due to
the attached potential VI. During the other half cycle, switches 147a and
147b open and switches 149a and 149b close to ground and allow the
capacitor 145 to partially or fully discharge. The reactive impedance of
the capacitor 145 is analogous to the resistance of the resistor 138 (see
FIG. 20A), allowing the capacitor 145 to emulate a resistor. The value of
this "resistor" depends on the capacitance of the capacitor 145 and the
clock frequency. By altering the clock frequency, the reactive impedance
("resistance value") of the capacitor changes. The value of the impedance
("resistance") of the capacitor 145 may be altered by changing the clock
frequency. Switches 147a, 147b. 149a, and 149b may be implemented in a
CMOS chip using, for example, transistors.
[0278] A current-to-frequency converter may also be used in the
measurement circuit 96. One suitable current-to-frequency converter
includes charging a capacitor using the signal from the sensor 42. When
the potential across the capacitor exceeds a threshold value, the
capacitor is allowed to discharge. Thus, the larger the current from the
sensor 42, the quicker the threshold potential is achieved. This results
in a signal across the capacitor that has an alternating characteristic,
corresponding to the charging and discharging of the capacitor, having a
frequency which increases with an increase in current from the sensor 42.
[0279] In some embodiments, the analyte monitoring system 40 includes two
or more working electrodes 58 distributed over one or more sensors 42.
These working electrodes 58 may be used for quality control purposes. For
example, the output signals and/or analyzed data derived using the two or
more working electrodes 58 may be compared to determine if the signals
from the working electrodes agree within a desired level of tolerance. If
the output signals do not agree, then the patient may be alerted to
replace the sensor or sensors. In some embodiments, the patient is
alerted only if the lack of agreement between the two sensors persists
for a predetermined period of time. The comparison of the two signals may
be made for each measurement or at regular intervals. Alternatively or
additionally, the comparison may be initiated by the patient or another
person. Moreover, the signals from both sensors may be used to generate
data or one signal may be discarded after the comparison.
[0280] Alternatively, if, for example, two working electrodes 58 have a
common counter electrode 60 and the analyte concentration is measured by
amperometry, then the current at the counter electrode 60 should be twice
the current at each of the working electrodes, within a predetermined
tolerance level, if the working electrodes are operating properly. If
not, then the sensor or sensors should be replaced, as described above.
[0281] An example of using signals from only one working electrode for
quality control includes comparing consecutive readings obtained using
the single working electrode to determine if they differ by more than a
threshold level. If the difference is greater than the threshold level
for one reading or over a period of time or for a predetermined number of
readings within a period of time then the patient is alerted to replace
the sensor 42. Typically, the consecutive readings and/or the threshold
level are determined such that all expected excursions of the sensor
signal are within the desired parameters (i.e. the sensor control unit 44
does not consider true changes in analyte concentration to be a sensor
failure).
[0282] The sensor control unit 44 may also optionally include a
temperature probe circuit 99. The temperature probe circuit 99 provides a
constant current through (or constant potential) across the temperature
probe 66. The resulting potential (or current) varies according to the
resistance of the temperature dependent element 72.
[0283] The output from the sensor circuit 97 and optional, temperature
probe circuit is coupled into a measurement circuit 96 that obtains
signals from the sensor circuit 97 and optional temperature probe circuit
99 and, at least in some embodiments, provides output data in a form
that, for example can be read by digital circuits. The signals from the
measurement circuit 96 are sent to the processing circuit 109, which in
turn may provide data to an optional transmitter 98. The processing
circuit 109 may have one or more of the following functions: 1) transfer
the signals from the measurement circuit 96 to the transmitter 98, 2)
transfer signals from the measurement circuit 96 to the data storage
circuit 102, 3) convert the information-carrying characteristic of the
signals from one characteristic to another (when, for example, that has
not been done by the measurement circuit 96), using, for example, a
current-to-voltage converter, a current-to-frequency converter, or a
voltage-to-current converter, 4) modify the signals from the sensor
circuit 97 using calibration data and/or output from the temperature
probe circuit 99, 5) determine a level of an analyte in the interstitial
fluid, 6) determine a level of an analyte in the bloodstream based on the
sensor signals obtained from interstitial fluid, 7) determine if the
level, rate of change, and/or acceleration in the rate of change of the
analyte exceeds or meets one or more threshold values, 8) activate an
alarm if a threshold value is met or exceeded, 9) evaluate trends in the
level of an analyte based on a series of sensor signals, 10) determine a
dose of a medication, and 11) reduce noise and/or errors, for example,
through signal averaging or comparing readings from multiple working
electrodes 58.
[0284] The processing circuit 109 may be simple and perform only one or a
small number of these functions or the processing circuit 109 may be more
sophisticated and perform all or most of these functions. The size of the
on-skin sensor control unit 44 may increase with the increasing number of
functions and complexity of those functions that the processing circuit
109 performs. Many of these functions may not be performed by a
processing circuit 109 in the on-skin sensor control unit 44, but may be
performed by another analyzer 152 in the receiver/display units 46, 48
(see FIG. 22).
[0285] One embodiment of the measurement circuit 96 and/or processing
circuit 109 provides as output data, the current flowing between the
working electrode 58 and the counter electrode 60. The measurement
circuit 96 and/or processing circuit 109 may also provide as output data
a signal from the optional temperature probe 66 which indicates the
temperature of the sensor 42. This signal from the temperature probe 66
may be as simple as a current through the temperature probe 66 or the
processing circuit 109 may include a device that determines a resistance
of the temperature probe 66 from the signal obtained from the measurement
circuit 96 for correlation with the temperature of the sensor 42. The
output data may then be sent to a transmitter 98 that then transmits this
data to at least one receiver/display device 46,48.
[0286] Returning to the processing circuit 109, in some embodiments
processing circuit 109 is more sophisticated and is capable of
determining the analyte concentration or some measure representative of
the analyte concentration, such as a current or voltage value. The
processing circuit 109 may incorporate the signal of the temperature
probe to make a temperature correction in the signal or analyzed data
from the working electrode 58. This may include, for example, scaling the
temperature probe measurement and adding or subtracting the scaled
measurement to the signal or analyzed data from the working electrode 58.
The processing circuit 109 may also incorporate calibration data which
has been received from an external source or has been incorporated into
the processing circuit 109, both of which are described below, to correct
the signal or analyzed data from the working electrode 58. Additionally,
the processing circuit 109 may include a correction algorithm for
converting interstitial analyte level to blood analyte level. The
conversion of interstitial analyte level to blood analyte level is
described, for example, in Schmidtke, et al. "Measurement and Modeling of
the Transient Difference Between Blood and Subcutaneous Glucose
Concentrations in the Rat after Injection of Insulin", Proc. of the Nat'l
Acad. of Science, 95, 294-299 (1998) and Quinn. et al., "Kinetics of
Glucose Delivery to Subcutaneous Tissue in Rats Measured with 0.3 mm
Amperometric Microsensors", Am. J. Physiol., 269 (Endocrinol. Metab. 32),
E155-E161 (1995), incorporated herein by reference.
[0287] In some embodiments, the data from the processing circuit 109 is
analyzed and directed to an alarm system 94 (see FIG. 18B) to warn the
user. In at least some of these embodiments, a transmitter is not used as
the sensor control unit performs all of the needed functions including
analyzing the data and warning the patient.
[0288] However, in many embodiments, the data (e.g., a current signal, a
converted voltage or frequency signal, or fully or partially analyzed
data) from processing circuit 109 is transmitted to one or more
receiver/display units 46, 48 using a transmitter 98 in the on-skin
sensor control unit 44. The transmitter has an antenna 93, such as a wire
or similar conductor, formed in the housing 45. The transmitter 98 is
typically designed to transmit a signal up to about 2 meters or more,
preferably up to about 5 meters or more, and more preferably up to about
10 meters or more, when transmitting to a small receiver/display unit 46,
such as a palm-size, belt-worn receiver. The effective range is longer
when transmitting to a unit with a better antenna, such as a bedside
receiver. As described in detail below, suitable examples of
receiver/display units 46, 48 include units that can be easily worn or
carried or units that can be placed conveniently on, for example, a
nightstand when the patient is sleeping.
[0289] The transmitter 98 may send a variety of different signals to the
receiver/display units 46, 48, typically, depending on the sophistication
of the processing circuit 109. For example, the processing circuit 109
may simply provide raw signals, for example, currents from the working
electrodes 58, without any corrections for temperature or calibration, or
the processing circuit 109 may provide converted signals which are
obtained, for example, using a current-to-voltage converter 131 or 141 or
a current-to-frequency converter. The raw measurements or converted
signals may then be processed by an analyzer 152 (see FIG. 22) in the
receiver/display units 46, 48 to determine the level of an analyte,
optionally using temperature and calibration corrections. In another
embodiment, the processing circuit 109 corrects the raw measurements
using, for example, temperature and/or calibration information and then
the transmitter 98 sends the corrected signal, and optionally, the
temperature and/or calibration information, to the receiver/display units
46, 48. In yet another embodiment, the processing circuit 109 calculates
the analyte level in the interstitial fluid and/or in the blood (based on
the interstitial fluid level) and transmits that information to the one
or more receiver/display units 46, 48, optionally with any of the raw
data and/or calibration or temperature information. In a further
embodiment, the processing circuit 109 calculates the analyte
concentration, but the transmitter 98 transmits only the raw
measurements, converted signals, and/or corrected signals.
[0290] One potential difficulty that may be experienced with the on-skin
sensor control unit 44 is a change in the transmission frequency of the
transmitter 98 over time. To overcome this potential difficulty, the
transmitter may include optional circuitry that can return the frequency
of the transmitter 98 to the desired frequency or frequency band. One
example of suitable circuitry is illustrated in FIG. 21 as a block
diagram of an open loop modulation system 200. The open loop modulation
system 200 includes a phase detector (PD) 210, a charge pump (CHGPMP)
212, a loop filter (L.F.) 214, a voltage controlled oscillator (VCO) 216,
and a divide by M circuit (.div.M) 218 to form the phase-locked loop 220.
[0291] The analyte monitoring device 40 uses an open loop modulation
system 200 for RF communication between the transmitter 98 and a receiver
of, for example, the one or more receiver/display units 46, 48. This open
loop modulation system 230 is designed to provide a high reliability RF
link between a transmitter and its associated receiver. The system
employs frequency modulation (FM), and locks the carrier center frequency
using a conventional phase-locked loop (PLL) 220. In operation, the
phase-locked loop 220 is opened prior to the modulation. During the
modulation the phase-locked loop 220 remains open for as long as the
center frequency of the transmitter is within the receiver's bandwidth.
When the transmitter detects that the center frequency is going to move
outside of the receiver bandwidth, the receiver is signaled to stand by
while the center frequency is captured. Subsequent to the capture, the
transmission will resume. This cycle of capturing the center frequency,
opening the phase-locked loop 220, modulation, and recapturing the center
frequency will repeat for as many cycles as required.
[0292] The loop control 240 detects the lock condition of the phase-locked
loop 220 and is responsible for closing and opening the phase-locked loop
220. The totalizer 250 in conjunction with the loop control 240, detects
the status of the center frequency. The modulation control 230 is
responsible for generating the modulating signal. A transmit amplifier
260 is provided to ensure adequate transmit signal power. The reference
frequency is generated from a very stable signal source (not shown), and
is divided down by N through the divide by N block (.div.N) 270. Data and
control signals are received by the open loop modulation system 200 via
the DATA BUS 280, and the CONTROL BUS 290.
[0293] The operation of the open loop modulation system 200 begins with
the phase-locked loop 220 in closed condition. When the lock condition is
detected by the loop control 240, the phase-locked loop 220 is opened and
the modulation control 230 begins generating the modulating signal. The
totalizer 250 monitors the VCO frequency (divided by M), for programmed
intervals. The monitored frequency is compared to a threshold programmed
in the totalizer 250. This threshold corresponds to the 3 dB cut off
frequencies of the receiver's intermediate frequency stage. When the
monitored frequency approaches the thresholds, the loop control 240 is
notified and a stand-by code is transmitted to the receiver and the
phase-locked loop 220 is closed.
[0294] At this point the receiver is in the wait mode. The loop control
240 in the transmitter closes the phase-locked loop 220. Then, modulation
control 230 is taken off line, the monitored value of the totalizer 250
is reset, and the phase-locked loop 220 is locked. When the loop control
240 detects a lock condition, the loop control 240 opens the phase-locked
loop 220, the modulation control 230 is brought on line and the data
transmission to the receiver will resume until the center frequency of
the phase-locked loop 220 approaches the threshold values, at which point
the cycle of transmitting the stand-by code begins. The .div.N 270 and
.div.M 218 block set the frequency channel of the transmitter.
[0295] Accordingly, the open loop modulation system 200 provides a
reliable low power FM data transmission for an analyte monitoring system.
The open loop modulation system 200 provides a method of wide band
frequency modulation, while the center frequency of the carrier is kept
within receiver bandwidth. The effect of parasitic capacitors and
inductors pulling the center frequency of the transmitter is corrected by
the phase-locked loop 220. Further, the totalizer 250 and loop control
240 provide a new method of center frequency drift detection. Finally,
the open loop modulation system 200 is easily implemented in CMOS
process.
[0296] The rate at which the transmitter 98 transmits data may be the same
rate at which the sensor circuit 97 obtains signals and/or the processing
circuit 109 provides data or signals to the transmitter 98.
Alternatively, the transmitter 98 may transmit data at a slower rate. In
this case, the transmitter 98 may transmit more than one datapoint in
each transmission. Alternatively, only one datapoint may be sent with
each data transmission, the remaining data not being transmitted.
Typically, data is transmitted to the receiver/display unit 46, 48 at
least every hour, preferably, at least every fifteen minutes, more
preferably, at least every five minutes, and most preferably, at least
every one minute. However, other data transmission rates may be used. In
some embodiments, the processing circuit 109 and/or transmitter 98 are
configured to process and/or transmit data at a faster rate when a
condition is indicated, for example, a low level or high level of analyte
or impending low or high level of analyte. In these embodiments, the
accelerated data transmission rate is typically at least every five
minutes and preferably at least every minute.
[0297] In addition to a transmitter 98, an optional receiver 99 may be
included in the on-skin sensor control unit 44. In some cases, the
transmitter 98 is a transceiver, operating as both a transmitter and a
receiver. The receiver 99 may be used to receive calibration data for the
sensor 42. The calibration data may be used by the processing circuit 109
to correct signals from the sensor 42. This calibration data may be
transmitted by the receiver/display unit 46, 48 or from some other source
such as a control unit in a doctor's office. In addition, the optional
receiver 99 may be used to receive a signal from the receiver/display
units 46, 48, as described above, to direct the transmitter 98, for
example, to change frequencies or frequency bands, to activate or
deactivate the optional alarm system 94 (as described below), and/or to
direct the transmitter 98 to transmit at a higher rate.
[0298] Calibration data may be obtained in a variety of ways. For
instance, the calibration data may simply be factory-determined
calibration measurements which can be input into the on-skin sensor
control unit 44 using the receiver 99 or may alternatively be stored in a
calibration data storage unit 100 within the on-skin sensor control unit
44 itself (in which case a receiver 99 may not be needed). The
calibration data storage unit 100 may be, for example, a readable or
readable/writeable memory circuit.
[0299] Alternative or additional calibration data may be provided based on
tests performed by a doctor or some other professional or by the patient
himself. For example, it is common for diabetic individuals to determine
their own blood glucose concentration using commercially available
testing kits. The results of this test is input into the on-skin sensor
control unit 44 either directly, if an appropriate input device (e.g., a
keypad, an optical signal receiver, or a port for connection to a keypad
or computer) is incorporated in the on-skin sensor control unit 44, or
indirectly by inputting the calibration data into the receiver/display
unit 46, 48 and transmitting the calibration data to the on-skin sensor
control unit 44.
[0300] Other methods of independently determining analyte levels may also
be used to obtain calibration data. This type of calibration data may
supplant or supplement factory-determined calibration values.
[0301] In some embodiments of the invention, calibration data may be
required at periodic intervals, for example, every eight hours, once a
day, or, once a week, to confirm that accurate analyte levels are being
reported. Calibration may also be required each time a new sensor 42 is
implanted or if the sensor exceeds a threshold minimum or maximum value
or if the rate of change in the sensor signal exceeds a threshold value.
In some cases, it may be necessary to wait a period of time after the
implantation of the sensor 42 before calibrating to allow the sensor 42
to achieve equilibrium. In some embodiments, the sensor 42 is calibrated
only after it has been inserted. In other embodiments, no calibration of
the sensor 42 is needed.
[0302] The on-skin sensor control unit 44 and/or a receiver/display unit
46, 48 may include an auditory or visual indicator that calibration data
is needed, based, for example, on a predetermined periodic time interval
between calibrations or on the implantation of a new sensor 42. The
on-skin sensor control unit 44 and/or receiver display/units 46, 48 may
also include an auditory or visual indicator to remind the patient that
information, such as analyte levels, reported by the analyte monitoring
device 40, may not be accurate because a calibration of the sensor 42 has
not been performed within the predetermined periodic time interval and/or
after implantation of a new sensor 42.
[0303] The processing circuit 109 of the on-skin sensor control unit 44
and/or an analyzer 152 of the receiver/display unit 46, 48 may determine
when calibration data is needed and if the calibration data is
acceptable. The on-skin sensor control unit 44 may optionally be
configured to not allow calibration or to reject a calibration point if,
for example, 1) a temperature reading from the temperature probe
indicates a temperature that is not within a predetermined acceptable
range (e.g., 30 to 42.degree. C. or 32 to 40.degree. C.) or that is
changing rapidly (for example, 0.2.degree. C./minute, 0.5 .degree.
C./minute, or 0.7.degree. C./minute or greater); 2) two or more working
electrodes 58 provide uncalibrated signals that are not within a
predetermined range (e.g., within 10% or 20%) of each other; 3) the rate
of change of the uncalibrated signal is above a threshold rate (e.g.,
0.25 mg/dL per minute or 0.5 mg/dL per minute or greater); 4) the
uncalibrated signal exceeds a threshold maximum value (e.g., 5, 10, 20,
or 40 nA) or is below a threshold minimum value (e.g., 0.05, 0.2, 0.5, or
1 nA); 5) the calibrated signal exceeds a threshold maximum value (e.g.,
a signal corresponding to an analyte concentration of 200 mg/dL, 250
mg/dL, or 300 mg/dL) or is below a threshold minimum value (e.g., a
signal corresponding to an analyte concentration of 50 mg/dL, 65 mg/dL,
or 80 mg/dL); and/or 6) an insufficient among of time has elapsed since
implantation (e.g., 10 minutes or less, 20 minutes or less, or 30 minutes
or less).
[0304] The processing circuit 109 or an analyzer 152 may also request
another calibration point if the values determined using the sensor data
before and after the latest calibration disagree by more than a threshold
amount, indicating that the calibration may be incorrect or that the
sensor characteristics have changed radically between calibrations. This
additional calibration point may indicate the source of the difference.
[0305] The on-skin sensor control unit 44 may include an optional data
storage unit 102 which may be used to hold data (e.g., measurements from
the sensor or processed data) from the processing circuit 109 permanently
or, more typically, temporarily. The data storage unit 102 may hold data
so that the data can be used by the processing circuit 109 to analyze
and/or predict trends in the analyte level, including, for example, the
rate and/or acceleration of analyte level increase or decrease. The data
storage unit 102 may also or alternatively be used to store data during
periods in which a receiver/display unit 46, 48 is not within range. The
data storage unit 102 may also be used to store data when the
transmission rate of the data is slower than the acquisition rate of the
data. For example, if the data acquisition rate is 10 points/min and the
transmission is 2 transmissions/min, then one to five points of data
could be sent in each transmission depending on the desired rate for
processing datapoints. The data storage unit 102 typically includes a
readable/writeable memory storage device and typically also includes the
hardware and/or software to write to and/or read the memory storage
device.
[0306] The on-skin sensor control unit 44 may include an optional alarm
system 104 that, based on the data from the processing circuit 109, warns
the patient of a potentially detrimental condition of the analyte. For
example, if glucose is the analyte, than the on-skin sensor control unit
44 may include an alarm system 104 that warns the patient of conditions
such as hypoglycemia, hyperglycemia, impending hypoglycemia, and/or
impending hyperglycemia. The alarm system 104 is triggered when the data
from the processing circuit 109 reaches or exceeds a threshold value.
Examples of threshold values for blood glucose levels are about 60, 70,
or 80 mg/dL for hypoglycemia; about 70, 80, or 90 mg/dL for impending
hypoglycemia; about 130, 150, 175, 200, 225, 250, or 275 mg/dL for
impending hyperglycemia; and about 150, 175, 200, 225, 250, 275, or 300
mg/dL for hyperglycemia. The actual threshold values that are designed
into the alarm system 104 may correspond to interstitial fluid glucose
concentrations or electrode measurements (e.g., current values or voltage
values obtained by conversion of current measurements) that correlate to
the above-mentioned blood glucose levels. The analyte monitor device may
be configured so that the threshold levels for these or any other
conditions may be programmable by the patient and/or a medical
professional.
[0307] A threshold value is exceeded if the datapoint has a value that is
beyond the threshold value in a direction indicating a particular
condition. For example, a datapoint which correlates to a glucose level
of 200 mg/dL exceeds a threshold value for hyperglycemia of 180 mg/dL,
because the datapoint indicates that the patient has entered a
hyperglycemic state. As another example, a datapoint which correlates to
a glucose level of 65 mg/dL exceeds a threshold value for hypoglycemia of
70 mg/dL because the datapoint indicates that the patient is hypoglycemic
as defined by the threshold value. However, a datapoint which correlates
to a glucose level of 75 mg/dL would not exceed the same threshold value
for hypoglycemia because the datapoint does not indicate that particular
condition as defined by the chosen threshold value.
[0308] An alarm may also be activated if the sensor readings indicate a
value that is beyond a measurement range of the sensor 42. For glucose,
the physiologically relevant measurement range is typically about 50 to
250 mg/dL, preferably about 40-300 mg/dL and ideally 30-400 mg/dL, of
glucose in the interstitial fluid.
[0309] The alarm system 104 may also, or alternatively, be activated when
the rate of change or acceleration of the rate of change in analyte level
increase or decrease reaches or exceeds a threshold rate or acceleration.
For example, in the case of a subcutaneous glucose monitor, the alarm
system might be activated if the rate of change in glucose concentration
exceeds a threshold value which might indicate that a hyperglycemic or
hypoglycemic condition is likely to occur.
[0310] The optional alarm system 104 may be configured to activate when a
single data point meets or exceeds a particular threshold value.
Alternatively, the alarm may be activated only when a predetermined
number of datapoints spanning a predetermined amount of time meet or
exceed the threshold value. As another alternative, the alarm may be
activated only when the datapoints spanning a predetermined amount of
time have an average value which meets or exceeds the threshold value.
Each condition that can trigger an alarm may have a different alarm
activation condition. In addition, the alarm activation condition may
change depending on current conditions (e.g., an indication of impending
hyperglycemia may alter the number of datapoints or the amount of time
that is tested to determine hyperglycemia).
[0311] The alarm system 104 may contain one or more individual alarms.
Each of the alarms may be individually activated to indicate one or more
conditions of the analyte. The alarms may be, for example, auditory or
visual. Other sensory-stimulating alarm systems may be used including
alarm systems which heat, cool, vibrate, or produce a mild electrical
shock when activated. In some embodiments, the alarms are auditory with a
different tone, note, or volume indicating different conditions. For
example, a high note might indicate hyperglycemia and a low note might
indicate hypoglycemia. Visual alarms may use a difference in color,
brightness, or position on the on-skin sensor control device 44 to
indicate different conditions. In some embodiments, an auditory alarm
system is configured so that the volume of the alarm increases over time
until the alarm is deactivated.
[0312] In some embodiments, the alarm may be automatically deactivated
after a predetermined time period. In other embodiments, the alarm may be
configured to deactivate when the data no longer indicate that the
condition which triggered the alarm exists. In these embodiments, the
alarm may be deactivated when a single data point indicates that the
condition no longer exists or, alternatively, the alarm may be
deactivated only after a predetermined number of datapoints or an average
of datapoints obtained over a given period of time indicate that the
condition no longer exists.
[0313] In some embodiments, the alarm may be deactivated manually by the
patient or another person in addition to or as an alternative to
automatic deactivation. In these embodiments, a switch 101 is provided
which when activated turns off the alarm. The switch 101 may be
operatively engaged (or disengaged depending on the configuration of the
switch) by, for example, operating an actuator on the on-skin sensor
control unit 44 or the receiver/display unit 46, 48. In some cases, an
actuator may be provided on two or more units 44, 46, 48, any of which
may be actuated to deactivate the alarm. If the switch 101 and or
actuator is provided on the receiver/display unit 46, 48 then a signal
may be transmitted from the receiver/display unit 46, 48 to the receiver
98 on the on-skin sensor control unit 44 to deactivate the alarm.
[0314] A variety of switches 101 may be used including, for example, a
mechanical switch, a reed switch, a Hall effect switch, a Gigantic
Magnetic Ratio (GMR) switch (the resistance of the GMR switch is magnetic
field dependent) and the like. Preferably, the actuator used to
operatively engage (or disengage) the switch is placed on the on-skin
sensor control unit 44 and configured so that no water can flow around
the button and into the housing. One example of such a button is a
flexible conducting strip that is completely covered by a flexible
polymeric or plastic coating integral to the housing. In an open position
the flexible conducting strip is bowed and bulges away from the housing.
When depressed by the patient or another person, the flexible conducting
strip is pushed directly toward a metal contact and completes the circuit
to shut off the alarm.
[0315] For a reed or GMR switch, a piece of magnetic material, such as a
permanent magnet or an electromagnet, in a flexible actuator that is
bowed or bulges away from the housing 45 and the reed or GMR switch is
used. The reed or GMR switch is activated (to deactivate the alarm) by
depressing the flexible actuator bringing the magnetic material closer to
the switch and causing an increase in the magnetic field within the
switch.
[0316] In some embodiments of the invention, the analyte monitoring device
40 includes only an on-skin control unit 44 and a sensor 42. In these
embodiments, the processing circuit 109 of the on-skin sensor control
unit 44 is able to determine a level of the analyte and activate an alarm
system 104 if the analyte level exceeds a threshold. The on-skin control
unit 44, in these embodiments, has an alarm system 104 and may also
include a display, such as those discussed below with respect to the
receiver/display units 46, 48. Preferably, the display is an LCD or LED
display. The on-skin control unit 44 may not have a transmitter, unless,
for example, it is desirable to transmit data, for example, to a control
unit in a doctor's office.
[0317] The on-skin sensor control unit 44 may also include a reference
voltage generator 101 to provide an absolute voltage or current for use
in comparison to voltages or currents obtained from or used with the
sensor 42. An example of a suitable reference voltage generator is a
band-gap reference voltage generator that uses, for example, a
semiconductor material with a known band-gap. Preferably, the band-gap is
temperature insensitive over the range of temperatures that the
semiconductor material will experience during operation. Suitable
semiconductor materials includes gallium, silicon and silicates.
[0318] A bias current generator 105 may be provided to correctly bias
solid-state electronic components. An oscillator 107 may be provided to
produce a clock signal that is typically used with digital circuitry.
[0319] The on-skin sensor control unit 44 may also include a watchdog
circuit 103 that tests the circuitry, particularly, any digital circuitry
in the control unit 44 to determine if the circuitry is operating
correctly. Non-limiting examples of watchdog circuit operations include:
a) generation of a random number by the watchdog circuit, storage of the
number in a memory location, writing the number to a register in the
watchdog circuit, and recall of the number to compare for equality; b)
checking the output of an analog circuit to determine if the output
exceeds a predetermined dynamic range; c) checking the output of a timing
circuit for a signal at an expected pulse interval. Other examples of
functions of a watchdog circuit are known in the art. If the watchdog
circuit detects an error that watchdog circuit may activate an alarm
and/or shut down the device.
[0320] Receiver/Display Unit
[0321] One or more receiver/display units 46, 48 may be provided with the
analyte monitoring device 40 for easy access to the data generated by the
sensor 42 and may, in some embodiments, process the signals from the
on-skin sensor control unit 44 to determine the concentration or level of
analyte in the subcutaneous tissue. Small receiver/display units 46 may
be carried by the patient. These units 46 may be palm-sized and/or may be
adapted to fit on a belt or within a bag or purse that the patient
carries. One embodiment of the small receiver/display unit 46 has the
appearance of a pager, for example, so that the user is not identified as
a person using a medical device. Such receiver/display units may
optionally have one-way or two-way paging capabilities.
[0322] Large receiver/display units 48 may also be used. These larger
units 48 may be designed to sit on a shelf or nightstand. The large
receiver/display unit 48 may be used by parents to monitor their children
while they sleep or to awaken patients during the night. In addition, the
large receiver/display unit 48 may include a lamp, clock, or radio for
convenience and/or for activation as an alarm. One or both types of
receiver/display units 46, 48 may be used.
[0323] The receiver/display units 46, 48, as illustrated in block form at
FIG. 22, typically include a receiver 150 to receive data from the
on-skin sensor control unit 44, an analyzer 152 to evaluate the data, a
display 154 to provide information to the patient, and an alarm system
156 to warn the patient when a condition arises. The receiver/display
units 46, 48 may also optionally include a data storage device 158, a
transmitter 160, and/or an input device 162. The receiver/display units
46,48 may also include other components (not shown), such as a power
supply (e.g., a battery and/or a power supply that can receive power from
a wall outlet), a watchdog circuit, a bias current generator, and an
oscillator. These additional components are similar to those described
above for the on-skin sensor control unit 44.
[0324] In one embodiment, a receiver/display unit 48 is a bedside unit for
use by a patient at home. The bedside unit includes a receiver and one or
more optional items, including, for example, a clock, a lamp, an auditory
alarm, a telephone connection, and a radio. The bedside unit also has a
display, preferably, with large numbers and/or letters that can be read
across a room. The unit may be operable by plugging into an outlet and
may optionally have a battery as backup. Typically, the bedside unit has
a better antenna than a small palm-size unit, so the bedside unit's
reception range is longer.
[0325] When an alarm is indicated, the bedside unit may activate, for
example, the auditory alarm, the radio, the lamp, and/or initiate a
telephone call. The alarm may be more intense than the alarm of a small
palm-size unit to, for example, awaken or stimulate a patient who may be
asleep, lethargic, or confused. Moreover, a loud alarm may alert a parent
monitoring a diabetic child at night.
[0326] The bedside unit may have its own data analyzer and data storage.
The data may be communicated from the on-skin sensor unit or another
receiver/display unit, such as a palm-size or small receiver/display
unit. Thus, at least one unit has all the relevant data so that the data
can be downloaded and analyzed without significant gaps.
[0327] Optionally, the beside unit has an interface or cradle into which a
small receiver/display unit may be placed. The bedside unit may be
capable of utilizing the data storage and analysis capabilities of the
small receiver/display unit and/or receive data from the small
receiver/display unit in this position. The bedside unit may also be
capable of recharging a battery of the small receiver/display unit.
[0328] The receiver 150 typically is formed using known receiver and
antenna circuitry and is often tuned or tunable to the frequency or
frequency band of the transmitter 98 in the on-skin sensor control unit
44. Typically, the receiver 150 is capable of receiving signals from a
distance greater than the transmitting distance of the transmitter 98.
The small receiver/display unit 46 can typically receive a signal from an
on-skin sensor control unit 44 that is up to 2 meters, preferably up to 5
meters, and more preferably up to 10 meters or more, away. A large
receiver/display unit 48, such as a bedside unit, can typically receive a
receive a signal from an on-skin sensor control unit 44 that is up to 5
meters distant, preferably up to 10 meters distant, and more preferably
up to 20 meters distant or more.
[0329] In one embodiment, a repeater unit (not shown) is used to boost a
signal from an on-skin sensor control unit 44 so that the signal can be
received by a receiver/display unit 46, 48 that may be distant from the
on-skin sensor control unit 44. The repeater unit is typically
independent of the on-skin sensor control unit 44, but, in some cases,
the repeater unit may be configured to attach to the on-skin sensor
control unit 44. Typically, the repeater unit includes a receiver for
receiving the signals from the on-skin sensor control unit 44 and a
transmitter for transmitting the received signals. Often the transmitter
of the repeater unit is more powerful than the transmitter of the on-skin
sensor control unit, although this is not necessary. The repeater unit
may be used, for example, in a child's bedroom for transmitting a signal
from an on-skin sensor control unit on the child to a receiver/display
unit in the parent's bedroom for monitoring the child's analyte levels.
Another exemplary use is in a hospital with a display/receiver unit at a
nurse's station for monitoring on-skin sensor control unit(s) of
patients.
[0330] The presence of other devices, including other on-skin sensor
control units, may create noise or interference within the frequency band
of the transmitter 98. This may result in the generation of false data.
To overcome this potential difficulty, the transmitter 98 may also
transmit a code to indicate, for example, the beginning of a transmission
and/or to identify, preferably using a unique identification code, the
particular on-skin sensor control unit 44 in the event that there is more
than one on-skin sensor control unit 44 or other transmission source
within range of the receiver/display unit 46, 48. The provision of an
identification code with the data may reduce the likelihood that the
receiver/display unit 46, 48 intercepts and interprets signals from other
transmission sources, as well as preventing "crosstalk" with different
on-skin sensor control units 44. The identification code may be provided
as a factory-set code stored in the sensor control unit 44.
Alternatively, the identification code may be randomly generated by an
appropriate circuit in the sensor control unit 44 or the receiver/display
unit 46, 48 (and transmitted to the sensor control unit 44) or the
identification code may be selected by the patient and communicated to
the sensor control unit 44 via a transmitter or an input device coupled
to the sensor control unit 44.
[0331] Other methods may be used to eliminate "crosstalk" and to identify
signals from the appropriate on-skin sensor control unit 44. In some
embodiments, the transmitter 98 may use encryption techniques to encrypt
the datastream from the transmitter 98. The receiver/display unit 46, 48
contains the key to decipher the encrypted data signal. The
receiver/display unit 46, 48 then determines when false signals or
"crosstalk" signals are received by evaluation of the signal after it has
been deciphered. For example, the analyzer 152 in the one or more
receiver/display units 46, 48 compares the data, such as current
measurements or analyte levels, with expected measurements (e.g., an
expected range of measurements corresponding to physiologically relevant
analyte levels). Alternatively, an analyzer in the receiver/display units
46, 48 searches for an identification code in the decrypted data signal.
[0332] Another method to eliminate "crosstalk", which is typically used in
conjunction with the identification code or encryption scheme, includes
providing an optional mechanism in the on-skin sensor control unit 44 for
changing transmission frequency or frequency bands upon determination
that there is "crosstalk". This mechanism for changing the transmission
frequency or frequency band may be initiated by the receiver/display unit
automatically, upon detection of the possibility of cross-talk or
interference, and/or by a patient manually. For automatic initiation, the
receiver/display unit 46, 48 transmits a signal to the optional receiver
99 on the on-skin sensor control unit 44 to direct the transmitter 98 of
the on-skin sensor control unit 44 to change frequency or frequency band.
[0333] Manual initiation of the change in frequency or frequency band may
be accomplished using, for example, an actuator (not shown) on the
receiver/display unit 46, 48 and/or on the on-skin sensor control unit 44
which a patient operates to direct the transmitter 98 to change frequency
or frequency band. The operation of a manually initiated change in
transmission frequency or frequency band may include prompting the
patient to initiate the change in frequency or frequency band by an audio
or visual signal from the receiver/display unit 46, 48 and/or on-skin
sensor control unit 44.
[0334] Returning to the receiver 150, the data received by the receiver
150 is then sent to an analyzer 152. The analyzer 152 may have a variety
of functions, similar to the processor circuit 109 of the on-skin sensor
control unit 44, including 1) modifying the signals from the sensor 42
using calibration data and/or measurements from the temperature probe 66,
2) determining a level of an analyte in the interstitial fluid, 3)
determining a level of an analyte in the bloodstream based on the sensor
measurements in the interstitial fluid, 4) determining if the level, rate
of change, and/or acceleration in the rate of change of the analyte
exceeds or meets one or more threshold values, 5) activating an alarm
system 156 and/or 94 if a threshold value is met or exceeded, 6)
evaluating trends in the level of an analyte based on a series of sensor
signals. 7) determine a dose of a medication, and 7) reduce noise or
error contributions (e.g., through signal averaging or comparing readings
from multiple electrodes). The analyzer 152 may be simple and perform
only one or a small number of these functions or the analyzer 152 may
perform all or most of these functions.
[0335] The output from the analyzer 152 is typically provided to a display
154. A variety of displays 154 may be used including cathode ray tube
displays (particularly for larger units), LED displays, or LCD displays.
The display 154 may be monochromatic (e.g., black and white) or
polychromatic (i.e., having a range of colors). The display 154 may
contain symbols or other indicators that are activated under certain
conditions (e.g., a particular symbol may become visible on the display
when a condition, such as hyperglycemia, is indicated by signals from the
sensor 42). The display 154 may also contain more complex structures,
such as LCD or LED alphanumeric structures, portions of which can be
activated to produce a letter, number, or symbol. For example, the
display 154 may include region 164 to display numerically the level of
the analyte, as illustrated in FIG. 23. In one embodiment, the display
154 also provides a message to the patient to direct the patient in an
action. Such messages may include, for example, "Eat Sugar", if the
patient is hypoglycemic, or "Take Insulin", if the patient is
hyperglycemic.
[0336] One example of a receiver/display unit 46, 48 is illustrated in
FIG. 23. The display 154 of this particular receiver/display unit 46, 48
includes a portion 164 which displays the level of the analyte, for
example, the blood glucose concentration, as determined by the processing
circuit 109 and/or the analyzer 152 using signals from the sensor 42. The
display also includes various indicators 166 which may be activated under
certain conditions. For example, the indicator 168 of a glucose
monitoring device may be activated if the patient is hyperglycemic. Other
indicators may be activated in the cases of hypoglycemia (170), impending
hyperglycemia (172), impending hypoglycemia (174), a malfunction, an
error condition, or when a calibration sample is needed (176). In some
embodiments, color coded indicators may be used. Alternatively, the
portion 164 which displays the blood glucose concentration may also
include a composite indicator 180 (see FIG. 24), portions of which may be
appropriately activated to indicate any of the conditions described
above.
[0337] The display 154 may also be capable of displaying a graph 178 of
the analyte level over a period of time, as illustrated in FIG. 24.
Examples of other graphs that may be useful include graphs of the rate of
change or acceleration in the rate of change of the analyte level over
time. In some embodiments, the receiver/display unit is configured so
that the patient may choose the particular display (e.g., blood glucose
concentration or graph of concentration versus time) that the patient
wishes to view. The patient may choose the desired display mode by
pushing a button or the like, for example, on an optional input device
162.
[0338] The receiver/display units 46, 48 also typically include an alarm
system 156. The options for configuration of the alarm system 156 are
similar to those for the alarm system 104 of the on-skin sensor control
unit 44. For example, if glucose is the analyte, than the on-skin sensor
control unit 44 may include an alarm system 156 that warns the patient of
conditions such as hypoglycemia, hyperglycemia, impending hypoglycemia,
and/or impending hyperglycemia. The alarm system 156 is triggered when
the data from the analyzer 152 reaches or exceeds a threshold value. The
threshold values may correspond to interstitial fluid glucose
concentrations or sensor signals (e.g., current or converted voltage
values) which correlate to the above-mentioned blood glucose levels.
[0339] The alarm system 156 may also, or alternatively, be activated when
the rate or acceleration of an increase or decrease in analyte level
reaches or exceeds a threshold value. For example, in the case of a
subcutaneous glucose monitor, the alarm system 156 might be activated if
the rate of change in glucose concentration exceeds a threshold value
which might indicate that a hyperglycemic or hypoglycemic condition is
likely to occur.
[0340] The alarm system 156 may be configured to activate when a single
data point meets or exceeds a particular threshold value. Alternatively,
the alarm may be activated only when a predetermined number of datapoints
spanning a predetermined amount of time meet or exceed the threshold
value. As another alternative, the alarm may be activated only when the
datapoints spanning a predetermined amount of time have an average value
which meets or exceeds the threshold value. Each condition that can
trigger an alarm may have a different alarm activation condition. In
addition, the alarm activation condition may change depending on current
conditions (e.g., an indication of impending hyperglycemia may alter the
number of datapoints or the amount of time that is tested to determine
hyperglycemia).
[0341] The alarm system 156 may contain one or more individual alarms.
Each of the alarms may be individually activated to indicate one or more
conditions of the analyte. The alarms may be, for example, auditory or
visual. Other sensory-stimulating alarm systems by be used including
alarm systems 156 that direct the on-skin sensor control unit 44 to heat,
cool, vibrate, or produce a mild electrical shock. In some embodiments,
the alarms are auditory with a different tone, note, or volume indicating
different conditions. For example, a high note might indicate
hyperglycemia and a low note might indicate hypoglycemia. Visual alarms
may also use a difference in color or brightness to indicate different
conditions. In some embodiments, an auditory alarm system might be
configured so that the volume of the alarm increases over time until the
alarm is deactivated.
[0342] In some embodiments, the alarms may be automatically deactivated
after a predetermined time period. In other embodiments, the alarms may
be configured to deactivate when the data no longer indicate that the
condition which triggered the alarm exists. In these embodiments, the
alarms may be deactivated when a single data point indicates that the
condition no longer exists or, alternatively, the alarm may be
deactivated only after a predetermined number of datapoints or an average
of datapoints obtained over a given period of time indicate that the
condition no longer exists.
[0343] In yet other embodiments, the alarm may be deactivated manually by
the patient or another person in addition to or as an alternative to
automatic deactivation. In these embodiments, a switch is provided which
when activated turns off the alarm. The switch may be operatively engaged
(or disengaged depending on the configuration of the switch) by, for
example, pushing a button on the receiver/display unit 46, 48. One
configuration of the alarm system 156 has automatic deactivation after a
period of time for alarms that indicate an impending condition (e.g.,
impending hypoglycemia or hyperglycemia) and manual deactivation of
alarms which indicate a current condition (e.g., hypoglycemia or
hyperglycemia).
[0344] The receiver/display units 46, 48 may also include a number of
optional items. One item is a data storage unit 158. The data storage
unit 158 may be desirable to store data for use if the analyzer 152 is
configured to determine trends in the analyte level. The data storage
unit 158 may also be useful to store data that may be downloaded to
another receiver/display unit, such as a large display unit 48.
Alternatively, the data may be downloaded to a computer or other data
storage device in a patient's home, at a doctor's office, etc. for
evaluation of trends in analyte levels. A port (not shown) may be
provided on the receiver/display unit 46, 48 through which the stored
data may be transferred or the data may be transferred using an optional
transmitter 160. The data storage unit 158 may also be activated to store
data when a directed by the patient via, for example, the optional input
device 162. The data storage unit 158 may also be configured to store
data upon occurrence of a particular event, such as a hyperglycemic or
hypoglycemic episode, exercise, eating, etc. The storage unit 158 may
also store event markers with the data of the particular event. These
event markers may be generated either automatically by the
display/receiver unit 46, 48 or through input by the patient.
[0345] The receiver/display unit 46, 48 may also include an optional
transmitter 160 which can be used to transmit 1) calibration information,
2) a signal to direct the transmitter 98 of the on-skin sensor control
unit 44 to change transmission frequency or frequency bands, and/or 3) a
signal to activate an alarm system 104 on the on-skin sensor control unit
44, all of which are described above. The transmitter 160 typically
operates in a different frequency band than the transmitter 98 of the
on-skin sensor control unit 44 to avoid cross-talk between the
transmitters 98, 160. Methods may be used to reduce cross-talk and the
reception of false signals, as described above in connection with the
transmitter 100 of the on-skin sensor control unit 44. In some
embodiments, the transmitter 160 is only used to transmit signals to the
sensor control unit 44 and has a range of less than one foot, and
preferably less than six inches. This then requires the patient or
another person to hold the receiver/display unit 46 near the sensor
control unit 44 during transmission of data, for example, during the
transmission of calibration information. Transmissions may also be
performed using methods other than rf transmission, including optical or
wire transmission.
[0346] In addition, in some embodiments of the invention, the transmitter
160 may be configured to transmit data to another receiver/display unit
46, 48 or some other receiver. For example, a small receiver/display unit
46 may transmit data to a large receiver/display unit 48, as illustrated
in FIG. 1. As another example, a receiver/display unit 46, 48 may
transmit data to a computer in the patient's home or at a doctor's
office. Moreover, the transmitter 160 or a separate transmitter may
direct a transmission to another unit or to a telephone or other
communications device that alerts a doctor or other individual when an
alarm is activated and/or if, after a predetermined time period, an
activated alarm has not been deactivated, suggesting that the patient may
require assistance. In some embodiments, the receiver/display unit is
capable of one-way or two-way paging and/or is coupled to a telephone
line to send and/or receive messages from another, such as a health
professional monitoring the patient.
[0347] Another optional component for the receiver/display unit 46, 48 is
an input device 162, such as a keypad or keyboard. The input device 162
may allow numeric or alphanumeric input. The input device 162 may also
include buttons, keys, or the like which initiate functions of and/or
provide input to the analyte monitoring device 40. Such functions may
include initiating a data transfer, manually changing the transmission
frequency or frequency band of the transmitter 98, deactivating an alarm
system 104, 156, inputting calibration data, and/or indicating events to
activate storage of data representative of the event.
[0348] Another embodiment of the input device 162 is a touch screen
display. The touch screen display may be incorporated into the display
154 or may be a separate display. The touch screen display is activated
when the patient touches the screen at a position indicated by a "soft
button" which corresponds to a desired function. Touch screen displays
are well known.
[0349] In addition, the analyte monitoring device 40 may include password
protection to prevent the unauthorized transmission of data to a terminal
or the unauthorized changing of settings for the device 40. A patient may
be prompted by the display 154 to input the password using the input
device 152 whenever a password-protected function is initiated.
[0350] Another function that may be activated by the input device 162 is a
deactivation mode. The deactivation mode may indicate that the
receiver/display unit 46, 48 should no longer display a portion or all of
the data. In some embodiments, activation of the deactivation mode may
even deactivate the alarm systems 104, 156. Preferably, the patient is
prompted to confirm this particular action. During the deactivation mode,
the processing circuit 109 and/or analyzer 152 may stop processing data
or they may continue to process data and not report it for display and
may optionally store the data for later retrieval.
[0351] Alternatively, a sleep mode may be entered if the input device 162
has not been activated for a predetermined period of time. This period of
time may be adjustable by the patient or another individual. In this
sleep mode, the processing circuit 109 and/or analyzer 152 typically
continue to obtain measurements and process data, however, the display is
not activated. The sleep mode may be deactivated by actions, such as
activating the input device 162. The current analyte reading or other
desired information may then be displayed.
[0352] In one embodiment, a receiver/display unit 46 initiates an audible
or visual alarm when the unit 46 has not received a transmission from the
on-skin sensor control unit within a predetermined amount of time. The
alarm typically continues until the patient responds and/or a
transmission is received. This can, for example, remind a patient if the
receiver/display unit 46 is inadvertently left behind.
[0353] In another embodiment, the receiver/display unit 46, 48 is
integrated with a calibration unit (not shown). For example, the
receiver/display unit 46, 48 may, for example, include a conventional
blood glucose monitor. Another useful calibration device utilizing
electrochemical detection of analyte concentration is described in U.S.
patent application Ser. No. 08/795,767, incorporated herein by reference.
Other devices may be used including those that operate using, for
example, electrochemical and colorimetric blood glucose assays, assays of
interstitial or dermal fluid, and/or non-invasive optical assays. When a
calibration of the implanted sensor is needed, the patient uses the
integrated in vitro monitor to generate a reading. The reading may then,
for example, automatically be sent by the transmitter 160 of the
receiver/display unit 46, 48 to calibrate the sensor 42.
[0354] Integration with a Drug Administration System
[0355] FIG. 25 illustrates a block diagram of a sensor-based drug delivery
system 250 according to the present invention. The system may provide a
drug to counteract the high or low level of the analyte in response to
the signals from one or more sensors 252. Alternatively, the system
monitors the drug concentration to ensure that the drug remains within a
desired therapeutic range. The drug delivery system includes one or more
(and preferably two or more) subcutaneously implanted sensors 252, an
on-skin sensor control unit 254, a receiver/display unit 256, a data
storage and controller module 258, and a drug administration system 260.
In some cases, the receiver/display unit 256, data storage and controller
module 258, and drug administration system 260 may be integrated in a
single unit. The sensor-based drug delivery system 250 uses data form the
one or more sensors 252 to provide necessary input for a control
algorithm/mechanism in the data storage and controller module 252 to
adjust the administration of drugs. As an example, a glucose sensor could
be used to control and adjust the administration of insulin.
[0356] In FIG. 25, sensor 252 produces signals correlated to the level of
the drug or analyte in the patient. The level of the analyte will depend
on the amount of drug delivered by the drug administration system. A
processor 262 in the on-skin sensor control unit 254, as illustrated in
FIG. 25, or in the receiver/display unit 256 determines the level of the
analyte, and possibly other information, such as the rate or acceleration
of the rate in the increase or decrease in analyte level. This
information is then transmitted to the data storage and controller module
252 using a transmitter 264 in the on-skin sensor control unit 254, as
illustrated in FIG. 25, or a non-integrated receiver/display unit 256.
[0357] If the drug delivery system 250 has two or more sensors 252, the
data storage and controller module 258 may verify that the data from the
two or more sensors 252 agrees within predetermined parameters before
accepting the data as valid. This data may then be processed by the data
storage and controller module 258, optionally with previously obtained
data, to determine a drug administration protocol. The drug
administration protocol is then executed using the drug administration
system 260, which may be an internal or external infusion pump, syringe
injector, transdermal delivery system (e.g., a patch containing the drug
placed on the skin), or inhalation system. Alternatively, the drug
storage and controller module 258 may provide a the drug administration
protocol so that the patient or another person may provide the drug to
the patient according to the profile.
[0358] In one embodiment of the invention, the data storage and controller
module 258 is trainable. For example, the data storage and controller
module 258 may store glucose readings over a predetermined period of
time, e.g., several weeks. When an episode of hypoglycemia or
hyperglycemia is encountered, the relevant history leading to such event
may be analyzed to determine any patterns which might improve the
system's ability to predict future episodes. Subsequent data might be
compared to the known patterns to predict hypoglycemia or hyperglycemia
and deliver the drug accordingly. In another embodiment, the analysis of
trends is performed by an external system or by the processing circuit
109 in the on-skin sensor control unit 254 or the analyzer 152 in the
receiver/display unit 256 and the trends are incorporated in the data
storage and controller 258.
[0359] In one embodiment, the data storage and controller module 258,
processing circuit 109, and/or analyzer 152 utilizes patient-specific
data from multiple episodes to predict a patient's response to future
episodes. The multiple episodes used in the prediction are typically
responses to a same or similar external or internal stimulus. Examples of
stimuli include periods of hypoglycemia or hyperglycemia (or
corresponding conditions for analytes other than glucose), treatment of a
condition, drug delivery (e.g., insulin for glucose), food intake,
exercise, fasting, change in body temperature, elevated or lowered body
temperature (e.g., fever), and diseases, viruses, infections, and the
like. By analyzing multiple episodes, the data storage and controller
module 258, processing circuit 109, and/or analyzer 152 can predict the
coarse of a future episode and provide, for example, a drug
administration protocol or administer a drug based on this analysis. An
input device (not shown) may be used by the patient or another person to
indicate when a particular episode is occurring so that, for example, the
data storage and controller module 258, processing circuit 109, and/or
analyzer 152 can tag the data as resulting from a particular episode, for
use in further analyses.
[0360] In addition, the drug delivery system 250 may be capable of
providing on-going drug sensitivity feedback. For example, the data from
the sensor 252 obtained during the administration of the drug by the drug
administration system 260 may provide data about the individual patient's
response to the drug which can then be used to modify the current drug
administration protocol accordingly, both immediately and in the future.
An example of desirable data that can be extracted for each patient
includes the patient's characteristic time constant for response to drug
administration (e.g., how rapidly the glucose concentration falls when a
known bolus of insulin is administered). Another example is the patient's
response to administration of various amounts of a drug (e.g., a
patient's drug sensitivity curve). The same information may be stored by
the drug storage and controller module and then used to determine trends
in the patient's drug response, which may be used in developing
subsequent drug administration protocols, thereby personalizing the drug
administration process for the needs of the patient.
[0361] Relationship of Subcutaneous and Blood Analyte Levels
[0362] It is often useful to determine analyte concentration in one fluid
(e.g., blood) even though the measurements of analyte concentration are
performed on another fluid (e.g., subcutaneous fluid). For example, it
may be important to know blood glucose concentration for accurate
diagnosis and/or insulin injections, or for comparison with other
techniques, but it is more convenient and/or less painful or intrusive to
measure subcutaneous glucose concentrations. Sensor measurements made
using subcutaneous fluid may be different from the desired quantity
(e.g., blood glucose concentration) because of the existence of a mass
transfer barrier, source and/or sink between compartment A, the region of
measurement (e.g., the subcutaneous tissue), and compartment B, the
region of interest (e.g., the blood). For any such problem, one needs to
develop a model that relates q.sub.A, the measured quantity, to q.sub.B,
the desired quantity, using a system of equations: q.sub.A=q.sub.B. To
solve for the desired quantity, the operator must be inverted. If the
operator happens to be noninvertable or unstable to inversion, the use of
such a model may be hindered.
[0363] One solution to this dilemma is the application of regularization
techniques that, when used in conjunction with a model, can predict the
desired quantity from the measured quantity. These methods often permit
the imposition of a smoothing requirement that changes the operator ,
making it invertible. These regularization techniques can be used to
infer one function from another measured function using a postulated
relationship between them.
[0364] With respect to subcutaneously implanted glucose sensors, the
concentration of glucose in the blood is desired, especially for accurate
dosing of insulin. There is typically a time lag between changes in
glucose concentration of the blood and the subcutaneous tissue after, for
example, an injection of insulin. To predict this time lag and correlate
the two concentrations, the glucose transport processes that mediate the
transport of glucose from the blood to the subcutaneous tissue are
investigated.
[0365] Three types of glucose transport process exist: active transport,
facilitated transport and passive transport. Active transport processes
are present in the lumen of the small intestine and in the renal tubules,
where glucose is transported against its concentration gradient,
requiring energy. Facilitated transport processes include those in which,
for example, carrier proteins, known as a glucose transporters, or GluTs,
are present at a membrane surface to aid the diffusion of glucose across
the membrane, as in adipocytes and in the blood-brain barrier. Finally,
passive transport includes simple or Fickian diffusion which is typically
driven by a concentration gradient and needs no special carrier proteins
or energy.
[0366] Transfer of Glucose from Blood to Interstitial Fluid
[0367] A subcutaneously implanted sensor is placed in the interstitial
fluid of the subcutaneous tissue. Typically, the important transport
process are facilitated diffusion and a mass transfer resistance to
transport of glucose between the blood and subcutaneous tissue. Thus, the
relationship between the concentrations of glucose in the blood and
subcutaneous tissues can be modeled by the mass transfer resistance from
the blood to the subcutaneous region near the sensor and by the uptake of
glucose by the surrounding subcutaneous tissue. Following a material
balance, the rate of accumulation of glucose in the sensing volume V is
given by the net rate of mass transfer of glucose into the region less
the uptake of glucose by the surrounding cells via facilitated diffusion,
which can be modeled using a reaction term. This relationship between the
concentration of glucose in the subcutaneous tissue S and that in the
blood B is given by, 1 V S t = k m A ( B - S
) - Vk r S K m + S ( 1 )
[0368] where A is the surface area of the region surrounding the sensor,
k.sub.m is a mass transfer coefficient, K.sub.m is a Michaelis-Menten
constant, and k.sub.r' is the reaction rate constant for uptake of
glucose by the subcutaneous tissue. The mass transfer coefficient,
Michaelis-Menten constant, and reaction rate constant for uptake of
glucose by the subcutaneous tissue may be determined experimentally for a
particular animal, species, or as a generally applicable value.
Alternatively, these values may be estimated.
[0369] The reaction rate constant may depend on the local insulin
concentration 1, as modeled, for example, by Yeh et al., Biochem.
34:523-531 (1995), incorporated by reference. However, for purposes of
this discussion, the reaction rate constant is assumed to be constant.
Appropriate changes in the equations below can be made if the reaction
rate constant is dependent on the local insulin concentration.
[0370] Dividing equation (1) by the volume of the sensor region V yields:
2 S t = ^ ( B - S ) - k r S K m + S
( 2 )
[0371] where {circumflex over (.beta.)}=k.sub.mA/V and corresponds to the
reciprocal of the time constant for mass transfer. It is convenient to
non-dimensionalize the equation as follows, defining 3 B _ = B B 0
, S _ = S B 0 , k r = k r
[0372] /(.beta.{circumflex over (B)}.sub.0) and {overscore
(t)}={circumflex over (.beta.)}t, where B.sub.O can be an arbitrarily
defined B.sub.0B.sub.0 blood glucose concentration (e.g., a starting
blood glucose concentration). Equation (2) then becomes 4 S _
t _ = B _ - [ 1 + k r K m B 0 + S _ ] S _
( 3 )
[0373] The contents in brackets can be referred to as the pseudoconstant
.beta.. When there is no reaction, .beta. is equal to 1; when there is a
reaction, .beta. is a weak function of {overscore (S)}, but {overscore
(S)} typically does not change much. So, it can be assumed that .beta. is
constant over the time scale of the computation, letting {overscore (S)}
be equal to the value at the center of the computation window. (The
computation window is described following equation (7).) The
nondimensional variables {overscore (S)}, {overscore (B)} and {overscore
(t)} will continue to be referred to, but the overbars are removed for
the remainder of this specification. The final equation, 5 S t
= B - S , ( 4 )
[0374] determines the subcutaneous glucose concentration given the blood
glucose concentration and can be termed a forward model.
[0375] Inversion of the Forward Model
[0376] The forward model is inverted to infer the blood glucose
concentration given measured subcutaneous glucose concentrations.
Predictions made from inversions may be highly sensitive to measurement
errors and the inherent imperfections present in any mathematical model.
Thus, regularization is often useful. If no regularization is used, the
solution may be unstable and/or unreasonable.
[0377] As part of the regularization techniques, a smoothness condition
may be imposed to minimize a function. The smoothness condition can
include a combination of model fit and required smoothness. The
minimization may result in a slightly modified set of equations which are
well-conditioned (e.g., invertible and stable) and readily inverted and
solved. Thus, rather than strictly forcing the data to fit the model, the
data is forced to be smooth (as defined by the regularization technique)
and fit the model reasonably well. A set of equations is then derived
that use the measured value of the subcutaneous concentration of glucose
to predict the concentration of glucose in the blood.
[0378] To invert the forward model, it may be useful to rewrite the
forward model in the form of a Volterra integral equation. To do so, both
sides of equation (4) are multiplied by the function
.phi.(t)=e.sup..beta.t (5a)
[0379] to yield 6 t [ ( t ) S ] = ( t ) B
. (5b)
[0380] Recall that .beta. is a pseudo-constant that is actually a mild
function of S when reaction is present. Taking the definite integral of
equation (5b) between times .theta. and t, and dividing both sides by
.phi.(t) gives, 7 S ( t ) = S ( ) - ( t - )
+ t B ( ) - ( i - ) . ( 6 )
[0381] In the above equation, the variable .theta. is the initial time and
t is the final time for the present window of computation. Integration
can be done numerically using a finite difference scheme. B(t) is
computed for N times using a set of equations, or a single matrix-vector
equation, with a time t represented on each of the N rows. As an
approximation, 8 t B ( ) - ( i - )
= i = 1 N B ( t i ) - ( i - t i )
t .times. W i ( 7 )
[0382] where N is the number of discretization points in the computation
window and W is some weighting factor defined by a choice of quadrature
scheme. For example, the integral in equation (7) is approximated by
choosing weights that apply an extended Simpson's rule.
[0383] The time window contains N times at which subcutaneous measurements
are taken, and which are separated by an interval At, so the size of the
window is (N-1).DELTA.t. The blood glucose concentration must by computed
numerically, so B is discretized, i.e., represented by a piecewise
constant over the window of computation. An advantage of computing the
blood glucose value at the ending time of a window is that the method can
be implemented continuously, updating the blood glucose concentration as
more subcutaneous data become available. This allows the determination of
blood glucose concentration from earlier measured analyte concentrations.
This is in contrast to conventional analysis techniques that require
measurements before and after the point in time at which the blood
glucose concentration is determined.
[0384] In some instances this differential treatment may be sufficient.
However, the solution to equation (6) may be sensitive to imperfections
in the data and in the model, and its application alone may result in
oscillatory predictions of the concentration of glucose in the blood, as
shown in FIG. 30.
[0385] Regularization techniques can be used to form a better behaved
solution.
[0386] The solution of the integral equation for B(.tau.) (or simply the
vector b, which is the vector of blood glucose values, b.sub.i at the
points in the present computation window) can be conditioned to be smooth
in addition to closely satisfying equation (6) with experimental
measurements of S(t). For example, the functional f[b].
f[b]=.chi..sup.2[b]+.lambda..PSI.[b], (8)
[0387] can be minimized over any window of data points, where 9 2
[ b ] = = i i + N ( t B ( ) - i
( t - ) - S ( t ) + S ( ) - i
( t - ) ) 2 . ( 9 )
[0388] The functional .chi..sup.2 represents the fit between the
prediction of the model and the experimental data and the functional
.psi. indicates the smoothness of the prediction. The .lambda. variable
is a weight which balances the amount of smoothing to data-matching and
can be constrained to range from 0 to .infin.. The-functional .psi. may
be chosen based on an a priori belief about the quality of the output. If
the output is likely to be constant over one window of computation, a
first-order regularization, in which first derivatives are minimized over
the window of interest, can be chosen, resulting in: 10 [ b ] =
t [ B ' ( ) ] 2 = i i + N - 1 [
B ( t + 1 ) - B ( t ) ] 2 . ( 10 )
[0389] The last term in equation (10) is a finite difference estimation of
the integral where .DELTA..tau. is the time difference between data
points. If, instead, the solution is thought to be linear over one window
of computation, and a second-order regularization can be imposed that
will minimize second derivatives, resulting in: 11 [ b ] =
t [ B " ( ) ] 2 = i i + N - 2
[ - B ( t + 2 ) + 2 B ( t + 1 ) - B
( t ) ] 2 ( 11 )
[0390] Equation (8) above may be written in the following matrix form:
f=(A.multidot.b-c).sup.2+.lambda.(b.multidot.H.multidot.b) (12)
[0391] where 12 A j = t u - i ( t -
) = { 1 2 - i ( t j - t )
t = i or j - i ( t i - t )
t i < < j , 0 j < ( 13 )
[0392] and
c.sub..mu.=S(t.sub..mu.)-S(.theta.)e.sup..beta.,(t.sub..sup..mu..sup.-.the-
ta.). (14)
[0393] The definition for H stems from the choice of regularization such
that first or the second derivatives over the window of computation are
minimized. If a first-order regularizations is chosen, the matrix H is
given by, 13 H = [ 1 - 1 0 0 0 0 - 1 2
- 1 0 0 0 0 - 1 2 - 1 0 0
0 0 - 1 2 - 1 0 0 0 0
- 1 2 - 1 0 0 0 0 - 1 1 ] ( 15 )
[0394] On the other hand, choosing a second-order regularization gives 14
H = [ 1 - 2 1 0 0 0 0 0 - 2 5 - 4
1 0 0 0 0 1 - 4 6 - 4 1 0 0 0 0
1 - 4 6 - 4 1 0 0
0 0 1 - 4 6 - 4 1 0 0
0 0 1 - 4 6 - 4 1 0 0 0 0 1 - 4 5
- 2 0 0 0 0 0 1 - 2 1 ] ( 16 )
[0395] The matrix H that minimizes b, or implements a zeroeth-order
regularization, is given simply by the identity matrix.
[0396] Equation (12) is minimized by setting df/dB equal to 0, and, after
some algebra, the blood glucose concentrations over the window of
computation are given by.
(A.sup.T.multidot.A+.lambda.H).multidot.b=A.sup.Tc. (17)
[0397] The solution to the model was found at each time for which
measurements were acquired in the experiment. We solve for b in equation
(17) at each window of computation using known LU decomposition and
back-substitution.
[0398] In another embodiment, the formulation may include a fixed initial
condition. The functional to be minimized can be differentiated as before
and the problem solved using identical methods. By enforcing the initial
condition, the solution becomes a bit more unstable, because the initial
condition that is being forced may not give the best fit. Other than
causing more instability, this method changes the prediction very little.
[0399] Besides assuring a relatively smooth solution for B(.tau.), the
regularization techniques may be more desirable than the differential
method for another reason. To use the differential method, the sensor
data is often smoothed before processing, which could produce a lag in
the results because backward smoothing would be applied, since the
application of real-time inversion dictates that the future data would be
unknown. By using the regularization techniques, a relatively smooth
solution can be obtained without creating this lag.
[0400] Processor
[0401] The determination of the blood glucose concentration from
subcutaneous glucose concentration measurements can be performed by a
processor (e.g., processing circuit 109 of FIG. 18A or, 18B or analyzer
152 of FIG. 22), with or without a storage medium, in which the
determination procedure is performed by software, hardware, or a
combination thereof. According to another embodiment, this same
determination is accomplished using discrete or semi-programmable
hardware configured, for example, using a hardware descriptive language,
such as Verilog. In yet another embodiment, the determination may be
performed using a processor having at least one look-up table arrangement
with data stored therein to represent the complete result or partial
results of the above equations based on a given set of input data, the
input data corresponding to parameters used on the right side of the
equations.
EXAMPLES
Example 1
Oral Glucose Tolerance Test Function
[0402] In order to test the performance of the above inverse model under
realistic conditions, a test function was used that resembles the typical
human response to a substantial change in glucose intake or utilization.
A simulation of a response to an oral glucose tolerance test (OGTT) and a
simple fit of the human OGTT data presented by Jansson et al., Am. J.
Physiol., 225:E218-220 (1988), incorporated herein by reference, results
in the following non-dimensional function: 15 B ( t ) = C B
0 ( - t - - t ) + 1 , ( 18 )
[0403] where .gamma.=k.sub.1/{circumflex over (.beta.)},
.zeta.=k.sub.2/{circumflex over (.beta.)}, k.sub.1=0.054 min.sup.-1,
k.sub.2=0.021 min.sup.-1, C=85.5*[k.sub.1/(k.sub.1-k.sub.2)] mg/dl, and
B.sub.0=95 mg/dl. From previous comparisons with experimental data
provided in Schmidtke et al., Proc. of the Nat'l Acad of Science, 95,
294-299 (1998), incorporated herein by reference, {circumflex over
(.beta.)} was chosen to be 0.05 min.sup.-1. If no reaction is present,
then the forward problem can be solved analytically, and the subcutaneous
glucose concentration is given by: 16 S ( t ) = C B 0 [
- t 1 - - - t 1 - ] + 1. (
19 )
[0404] Three cases of varying magnitudes of the reaction term were
studied, including a) k.sub.r=0, b) k.sub.r=1 and K.sub.m=B.sub.o, and c)
k.sub.r=1 and K.sub.m=B.sub.o/3. The functions S(t) for the above three
cases and their corresponding function B(t) are plotted in FIG. 31. The
shapes of the input functions S(t) are shifted down as the effective
reaction rate constant, 17 k r K m B 0 + S ,
[0405] increases.
[0406] By varying the amount of noise on the input function, the
performance of the inverse model for a wide range of .lambda. (10.sup.-9
to 10.sup.5) was analyzed for the three hypothetical cases. For the tests
performed here, an error magnification factor, .epsilon., as a function
of .lambda., and magnitude of reaction was computed. The error
magnification factor was defined as: 18 = % Output
RMS Error % Input RMS Error where (
20 ) % Output RMS Error = i (
predictedB i - trueB i ) 2 i trueB i 2 .times. 100 %
, and ( 21 ) % Input RMS Error = i
( noisyS i - trueS i ) 2 i trueS i 2 .times. 100
% . ( 22 )
[0407] trueS are the input values that are free of generated noise and
trueB are the values that would result from the equations if the trueS
values were used as input.
[0408] The input function was modified by the addition of white noise or
time-correlated noise. White noise was produced by first finding the
average value of the input function over the test period. Then a random
gaussian distribution was generated about that average with standard
deviations of 0.5, 1, and 2% of that average:
S.sub.w(t)=S(t)+Gauss(mean,SD) (23)
[0409] In the above equation, S.sub.w(t) is the new subcutaneous input
function with white noise superimposed, where Gauss is a function of the
mean, 19 mean = 1 n i = 1 n S ( t i ) ( 24 )
[0410] and the standard deviation, 20 SD = p n i = 1 n S
( t i ) ( 25 )
[0411] Gauss is the function that generates the random Gaussian
distribution with the given average and standard deviation. When p was
set equal to 1%, an input function with 1% white noise resulted. This
distribution was added to the OGTT function in equation (18) to produce
the white noise input function.
[0412] Time-correlated noise was constructed via a simple moving average
method, where the white noise input function produced above is averaged
over a window of time that is of size m so that 21 S c ( t i +
m ) = 1 m j = 0 , 1 , 2 m S w ( t i + j
) . ( 26 )
[0413] where S.sub.c(t) is the input function with superimposed
time-correlated noise. In other words, the input function with white
noise was averaged over the ith window of time to give the new function's
value at the ending time of the window. The nondimensional time window
over which the values were averaged was {fraction (1/100)}th of the total
time of the test. The input functions with these two types of noise are
illustrated in FIG. 32 with RMS errors of 1%.
Example 2
Order of Regularization and Estimation of N and .DELTA.t
[0414] A comparison of first- and second-order regularization methods for
the case of no reaction (case a) and 1% white noise on the input is shown
in FIG. 33. The data in FIG. 33 were obtained using a window size of 10
data points (N=10), which corresponds to {fraction (1/50)}th of the total
test time, and the .DELTA.t was 0.0185. The error magnification factor
versus weighting factor curves for the above cases and for the
zeroeth-order regularization are in FIG. 34.
[0415] For the three levels of white noise superimposed on the synthetic
subcutaneous glucose measurements, and for this window size, the
first-order regularization method predicted the blood glucose
concentration better than either the zeroeth- or second-order
regularization. The lowest .epsilon. for the zeroeth-, first-, and
second-order regularizations were 63, 7, and 13 respectively. Typically,
first-order regularization is the preferred method for most problems,
unless one expects a constant profile, in which zeroeth-order
regularization would be the natural choice.
[0416] FIG. 35 shows the error magnification-factor versus the
regularization parameter for a variety of sizes of computation windows,
and also for several sampling rates, where the sampling rate is defined
as .DELTA.t.sup.-1. The computation window size and sample rate had a
strong effect on the lowest .epsilon. achievable using the inverse
method. A decrease in the sampling rate, as expected, causes the error
magnification factor to increase, so samples should be taken as often as
possible. However, increasing the sampling rate causes the condition
number of the matrix. A.sup.T.multidot.A+.lambda.H, to increase,
increasing the error.
[0417] As the sampling time between the measurements is increased, the
error magnification factor increases. Similarly, as the window size
grows, the error factor decreases. Window size is equal to (N-1).DELTA.t,
where N is the number of data points in the window, and .DELTA.t is the
time between the data points. Keeping the sampling rate constant, FIG. 35
shows how .epsilon. changes as the window size increases from N=10 to
N=160. When N is increased from 10 to 20, the decrease in .epsilon. is
larger than when N is increased from 40 to 80. The reason for this is
that, as the size of the window gets larger, the trailing values of
measurements will have less of an effect on the solution, since the
kernal is exponential in time (see equation 14). Finally, when N
increases from 80 to 160, there is no substantial decrease in .epsilon..
A reason for this could be that the window size has grown so much that
the first order derivatives can no longer be minimized and expect a good
a priori estimate of the behavior of the solution. That is, the window
size is now on order of the time constant of the mass transfer
coefficient. Also, as expected, there is never an .epsilon. below 1,
because the output function will always have at least as much error as
the input function. Note that for the improvement on .epsilon. by
increasing N from 10 to 80, the computation time expense also increases.
Keeping the sampling rate constant, an optimal window size was found for
this particular problem which was 8 times larger that the one used above.
Application of this size of computation window yielded an error
magnification factor of 1.6, and required a regularization factor
.lambda. of 3.
[0418] With the larger, optimal window size, the regularization methods
were reexamined. Both first- and second-order regularizations give good
inverses, with an error magnification factor (.epsilon.) of about 1.5 for
each case, as shown in FIG. 36. Note that a much larger regularization
parameter is required for the second-order than for the first-order
method. The regularization parameter typically indicates the relative
amount of model matching to smoothing imposed. Either of these methods
could be used for the remainder of the analysis.
Example 3
White Noise vs. Correlated Noise
[0419] In general, the method of regularization and inversion gave similar
results for both white noise and correlated noise on the subcutaneous
data. The data with correlated noise and the data with white noise
superimposed required similar weighting factors to give similar values of
.epsilon.. The correlated noise was smoother than the white noise, but
with larger error magnification factors than for white noise. In fact,
the correlated noise causes the model to deviate from the true function
for longer sustained times, so the larger error magnification factors are
not unexpected.
[0420] FIG. 37 illustrates the .epsilon.(.lambda.) curves for white and
correlated noise in the case of 1% RMS Input Error and reaction case a.
Both functions find their minimum at similar values of .lambda., at about
3.0 and 6.0 for white noise and correlated noise, respectively. Overall,
the curves go to infinity as .lambda. approaches zero, which indicates
that a regularization is necessary due to the instability of the inverse
problem. Also, the curves plateau as .lambda. increases beyond order 1,
which shows us that the regularization only causes more and more damping
of the solution as .lambda. increases, causing there to be a maximum
finite difference between the prediction and the true solution (i.e., the
solution goes to a constant about the initial point of the prediction).
[0421] The error magnification factor, .epsilon., decreased as the input
error increased for both sets of data. Tables 1 and 2 contain the
results.
1TABLE 1
White noise, first-order regularization
results.
Input RMS Output RMS
Reaction Case Error Error
Best .lambda. .epsilon.
k.sub.r = 0 0.5 1.16 0.9 2.32
k.sub.r = 0 1.0 1.58 3.0 1.58
k.sub.r = 0 2.0 2.17 6.0 1.09
k.sub.r = 1, K.sub.m = B.sub.0/3 0.5 1.31 0.7 2.62
k.sub.r = 1,
K.sub.m = B.sub.0/3 1.0 1.65 2.0 1.65
k.sub.r = 1, K.sub.m =
B.sub.0/3 2.0 2.15 5.0 1.07
k.sub.r = 1, K.sub.m = B.sub.0 0.5
1.04 0.8 2.08
k.sub.r = 1, K.sub.m = B.sub.0 1.0 1.31 2.0 1.31
k.sub.r = 1, K.sub.m = B.sub.0 2.0 1.75 4.0 0.88
[0422]
2TABLE 2
Time-correlated noise using simple moving
average method,
first-order regularization results.
Input
RMS Output RMS
Reaction Case Error Error Best .lambda. .epsilon.
k.sub.r = 0 0.32 1.20 0.6 3.75
k.sub.r = 0 0.53
1.63 2.0 3.08
k.sub.r = 0 1.00 2.21 6.0 2.21
k.sub.r = 1,
K.sub.m = B.sub.0/3 0.32 1.24 0.5 3.88
k.sub.r = 1, K.sub.m =
B.sub.0/3 0.53 1.61 1.0 3.04
k.sub.r = 1, K.sub.m = B.sub.0/3 1.00
2.13 4.0 2.13
k.sub.r = 1, K.sub.m = B.sub.0 0.32 0.84 0.6 2.63
k.sub.r = 1, K.sub.m = B.sub.0 0.53 1.18 1.0 2.23
k.sub.r = 1,
K.sub.m = B.sub.0 1.00 1.66 3.0 1.66
Example 4
Estimation of Weighting Factor
[0423] Many workers have proposed methods for estimating the best value
for the weighting or regularization factor, .lambda., including Beck et
al., Inverse Heat Conduction, John Wiley & Sons, New York (1985); Graham,
Bell Systems Tech. J, 62:101-110 (1983); Press et al., Numerical Recipes
in Fortran-2nd Ed., Cambridge University Press (1992); and Reinsch,
Numerische Mathematik, 10:177-183 (1967), all of which are incorporated
herein by reference. As recommended in Press et al., the weight factor
.lambda. may be roughly estimated, at first, by implementing the
equation,
.lambda.=Tr(R.sup.T.multidot.R)/Tr(H) (27a)
[0424] where
R=A/.sigma.. (27b)
[0425] and .sigma. is the standard deviation of the measurements. This
estimate of .lambda. allow for approximately equal amounts of model
matching and smoothness. Another interpretation of the conditions is that
the data are required to fit the model only within the measurement error.
[0426] The regularization parameter may also depend on the number of
measurements available, n, in addition to the standard deviation of those
measurements. Thus, the following condition on the residual sum of the
squares, , can be applied to find an appropriate .lambda.:
=(A.multidot.b-c).sup.T(A.multidot.b-c) (28)
[0427] and require
[n-(2n).sup.1/2].sigma..sup.2<[n+(2n).sup.1/2].sigma..sup.2. (29)
[0428] Criterion 1 can be defined as =n.sigma..sup.2. This method can be
referred to as the discrepancy criterion.
[0429] Alternatively, .lambda. can be selected using the concept of the
minimum squared error, as described in Beck et al., Inverse Heat
Conduction, John Wiley & Sons (1985), incorporated herein by reference.
This can be called criterion 2. The parameter .lambda. will often have an
optimal value that remains approximately constant when the integration
time interval and sampling rate is constant, so this process of
determining .lambda. may only be necessary once for a given set of
parameters.
[0430] Comparison of the two results, values are obtained within the
designated range, as shown in FIG. 38. The application of criterion 1
gives .epsilon. equal to 2.5 (.lambda.=0.5) which is very close to the
criterion 2 result of .epsilon.=2.32 (.lambda.=1.0). The largest output
error that would occur by choosing .lambda. such that is within the above
bounds is 4.5% (.epsilon.=9.0) for the case of no reaction and 0.5% RMS
error in the input in the form of white noise. Choosing equal to
n.sigma..sup.2 gives .epsilon. equal to 2.5. Thus, the criterion 2 result
can often be approximated by applying criterion 1 provided an estimate of
.sigma. is available.
[0431] With regard to the method of choosing the regularization factor
above, as the window size increased, so did the regularization factor
that gave the minimum .epsilon.. The increase in window size effectively
increases the number of measurements available to calculate a given B(t).
Typically, the best .lambda. was directly proportional to N until the
window became too large to expect a good a priori estimate of the
function behavior from first-order regularization.
Example 5
Effect of Nonlinearity
[0432] FIG. 39 illustrates the error magnification factor versus weighting
factor for reaction cases a and c when the input contains 1% white noise.
For a given input RMS error, the required weighting factor remained
constant as K.sub.m increased, but the output RMS error decreased as
K.sub.m increased. Therefore, if the reaction term is found to be
important in the modeling of the lag between the blood glucose and
subcutaneous tissue glucose in humans, the inversion will not suffer.
Instead, the results are better, relative to the input error, in the
presence of a reaction term than they are with no reaction at all. The
reaction term acts as a damping term in the forward model. In other
words, the term in the forward model that de-stabilizes the inversion is
the derivative of the subcutaneous glucose concentration with respect to
time, while the reaction term tends to stabilize the inversion.
Example 6
Preparation of Glucose Electrodes
[0433] Glucose electrodes were structurally similar to those described in
Csoregi et al., Anal. Chem., 67:1240-1244 (1995), incorporated herein by
reference. A 0.25 mm gold wire with a 0.04 mm Teflon coating. A 0.09 mm
portion of the gold at the end of the wire was removed, leaving a narrow
tube of Teflon. A "wired" glucose oxidase transduction layer was formed
by depositing a solution of 110 mg/mL of {poly[(1-vinylimidazolyl) osmium
(4,4'-dimethylbipyridine).sub.2Cl]}.sup.+/2+, 10 mg/mL glucose oxidase
(in HEPES 10 mM at pH 8.1), and 2.5 mg/mL poly(ethylene glycol) mixed in
a 78:16:6 wt. % ratio. The solution was deposited in the Teflon tube to
coat the exposed surface of the gold wire. The electrodes were then
rinsed five times and cured at 45.degree. C. for 15 minutes. A glucose
flux restricting layer was formed by sequentially filling the 0.09 mm
deep, 250 .mu.m diameter recess and curing (at room temperature for 20
min) twice with a 1% solution of cellulose acetate in cyclohexanone; once
with a 0.5% solution of Nafion (Aldrich, Milwaukee, Wis.) in n-propanol;
and once with a freshly prepared solution of poly (vinyl pyridine)
acetate (PVPA) (25 mg/mL in water) and polyfunctional aziridine (PAZ)
(XAMA-7, E.I.T. Inc., Lakewilie, S.C.) (30 mg/mL in water) in a 1:2
volume ratio, this layer being cured for at least 8 hr. A biocompatible
layer was then formed of a sensitized 10 wt. % aqueous tetraacrylated
poly(ethylene oxide) solution by photo-cross-linking (45 sec. UV
exposure).
[0434] The in vitro response time of the glucose electrodes was measured
for both increasing and decreasing step changes in glucose concentration
prior to implantation. The measurements were made at 37.+-.0.5.degree. C.
in a rapidly stirred, jacketed electrochemical cell containing pH 7.4
phosphate buffered saline (PBS). The three-electrode cell had a saturated
calomel reference electrode (SCE), a platinum counter electrode, and the
glucose electrode and was poised at 200 mV vs. SCE. Step changes
increasing the glucose concentration (90 mg/dL to 180 mg/dL) were made by
injecting into the rapidly stirred solution an aliquot of concentrated
aqueous glucose (2M). Step changes decreasing the glucose concentration
(180 mg/dL to 90 mg/dL) were made by injecting PBS into the cell.
[0435] The intrinsic response times to increasing and decreasing step
changes in glucose concentration were 2.59.+-.1.17 min and 1.55.+-.0.79
min (n=14) respectively.
Example 7
In vivo Experiments
[0436] Male Sprague-Dawley rats, 380-520 g, were preanesthetized with
halothane (Halocarbon Laboratories, North Augusta, SC) and anesthetized
by intraperitoneal injection (0.3 ml) of a equal volume mixture of
acepromazine maleate (10 mg/ml), ketamine (100 mg/ml) and xylazine (20
mg/ml). The animals were then shaven about the neck, the abdomen, and the
area between the scapulae, then secured on a homeothermic blanket system
(Harvard Apparatus, South Natick Mass.). First the right external jugular
vein was located and cleared of extraneous tissue. The distal side of the
right vein was tied off with 4-0 silk, and a small cut was made in the
vein. A 0.0375" diameter medical-grade silastic tube was inserted into
the proximal portion of the right jugular vein and secured with 4-0 silk.
A dose of 100-U/kg body wt of heparin solution was then administered,
followed by an equal volume of saline, to clear the line. Next, the rat's
skin was sutured closed. The rat was then rolled onto its abdomen, while
assuring that the line in the jugular vein was not pulled out, and an
electrode was inserted in the subcutaneous tissue between the scapulae of
the animal using a 22-gauge introducing catheter needle (PER-Q-Cath,
Gesco, San Antonio, Tex.). The animal was then returned to its back and
resecured. The left external jugular vein was then located and cleared of
extraneous tissue. Next, the distal side of the left jugular vein was
tied off and a small cut was made in the vein. A silastic tube of 1.5 cm
length was inserted into the proximal side as a guide, and a glucose
electrode was inserted inside the guide tube. The tube and the sensor
were secured with 4-0 silk, with the electrode's insulating gold wire
protruding beyond the end of the guide tube. The incision site was then
moistened and packed with gauze. An ion-conducting gel was then applied
to a skin reference (Ag/AgCl) electrode, and the electrode was placed on
the rat's abdomen. The implanted electrodes as well as the reference
electrode were connected to a biopotentiostat (13), the output of which
was logged with a data logger.
[0437] After the output of the implanted electrodes reached a stable
baseline (0.5-1 hr), an intravenous injection of 0.5 U/kg of regular
insulin (RU-100, Eli Lilly, Indianapolis, Ind.) was administered through
the right jugular vein. Blood samples were collected at t=-20, -10, -1,
3, 6, 9, 12, 15, 20, 25, 30, 35, 40, 45, 60, 75, 90 min after the insulin
injection. The whole blood samples were obtained from the left jugular
vein and were immediately placed in tubes containing heparin and sodium
fluoride and kept on ice until analysis. All blood samples were analyzed
in duplicate using a YSI Model 2300 glucose analyzer (YSI, Yellow
Springs, Ohio). At time t=O, the insulin dose was injected through the
infusion catheter and cleared with heparinized saline. At the end of the
experiment the rat was euthanized by sodium pentobarbital injection i.p.
or asphyxiation by CO.sub.2, consistent with the recommendations of the
panel on Euthanasia of the American Veterinary Association. All in vivo
experimentation was approved by the University of Texas Institutional
Animal Use and Care Committee. The implanted electrodes were sufficiently
glucose selective to be calibrated by withdrawal of a single sample of
blood and assay of its glucose concentration ("one-point in vivo
calibration"). After the current output of the sensor stabilized, 20-40
min after implantation and electrical connection to the bipotentiostat, a
single sample of blood was drawn and its glucose concentration was
assayed using the YSI glucose analyzer. From this measurement, a current
to glucose concentration conversion factor (mg/dl per nA) was calculated
for the implanted electrodes. This factor was used to obtain all glucose
estimates for the remainder of the test period.
Example 8
Data Analysis
[0438] The onset of the decline in the concentrations of venous and
subcutaneous glucose following the injection of insulin were determined
graphically using the time concentration plots and a method used in
process control to calculate time delays (14). The tangent line at the
point of inflection was drawn (see FIG. 40) and the line, tracking the
basal concentration of glucose prior to the injection of insulin, was
extended. The intersection of the two lines defined the onset point of
the decline. The onset times were referenced to the time at which insulin
was injected. The rate of decline in glucose concentration in the period
between 6 and 20 minutes after insulin injection was calculated by linear
regression analyses for the periodically sampled blood from the vein
where insulin was injected; the contralateral jugular vein, where an
electrode was implanted, and for the subcutaneous interstitial fluid,
where the second electrode was implanted. The values are presented as
means.+-.std, along with their statistical significance, assessed when
appropriate by a Student's t-test for paired data, with p<0.05
considered as statistically significant.
[0439] FIG. 41 shows the typical output of the subcutaneous (dotted line)
and jugular vein (solid line) electrodes during an in vivo experiment.
Following insulin injection, the average venous blood glucose
concentrations of the rats (n=7) decreased from 207.+-.67 mg/dl to
59.+-.12 mg/dl. The minimum in blood glucose concentration was reached
36.6.+-.7.2 minutes after the injection of insulin. Table 3 lists the
average lag times between the lowest subcutaneous sensor readings and the
point of lowest glucose concentration in the concentrations in the blood
withdrawn from the vein where the insulin was injected, and also between
the lowest readings by the sensor implanted in the contralateral jugular
vein and the samples withdrawn from the injected jugular vein.
3TABLE 3
Declining glucose characteristics.
Decline
rate
Onset time (mg dl.sup.-1 .multidot.
t.sub.minimum glucose Lag time
Location (min) min.sup.-1) (min)
(min)
Blood samples 3.3 .+-. 0.5 6.8 .+-. 2.0 36.6 .+-.
7.2 --
Intravenous 5.6 .+-. 1.7 7.0 .+-. 2.5 40.3 .+-. 5.9 3.7
.+-. 4.3
sensor
Subcutaneous 8.9 .+-. 2.1 3.9 .+-. 1.3 61.2
.+-. 7.5 24.5 .+-. 6.8
sensor
[0440] The onsets of the decline with respect to the time of injection of
insulin, measured in the injected jugular vein, the contralateral jugular
vein and the subcutaneous fluid are also shown in Table 3, along with the
rates of decline in the period between 6 and 20 min after insulin
injection. FIG. 42 shows the average difference between the estimates of
the subcutaneous glucose concentrations and the actual blood glucose
concentrations as a function of time.
[0441] The nadir in subcutaneous glucose was statistically different from
the nadir in blood glucose (p<0.001) and occurred 24.5.+-.6.8 minutes
later. Similarly, the onset of declining subcutaneous glucose levels
(8.9.+-.2.1 min after insulin injection) was statistically different
(p<0.001) from the onset in blood glucose levels 0.5 min after insulin
injection). The rate of drop in glucose levels, between 6-20 minutes
after insulin injection, was slower in the subcutaneous fluid (3.9.+-.1.3
mg dl.sup.1 min.sup.-1), than in blood (6.8.+-.2.0 mg dl.sup.-1
min.sup.-1, p=0.003).
[0442] In the contralateral jugular vein, the minimal glucose
concentration was reached 3.7 minutes after it was reached in the
injected vein (36.6 vs. 40.3 min., p=0.06). The rates of decline during
the 6 to 20 minute period were nearly identical in the two opposite
jugular veins (6.8 and 7.0 mg dl.sup.-1 min.sup.-1, p=0.59). The onsets
of the decline in glucose concentrations were statistically different for
the opposite veins (3.3 vs. 5.6 min, p=0.01).
Example 9
Prediction of Subcutaneous Glucose Concentration
[0443] A typical plot of a prediction of the subcutaneous concentration of
glucose given the concentration of glucose in the blood from the jugular
sensor is shown in FIG. 43, where the only fitted parameter was
.beta.=0.04 min.sup.-1. The uptake term of the model was found to be
negligible for most of the data sets and was set to zero for all sets.
This finding is not surprising, because the sensor was placed between the
connective tissue and smooth muscle tissue where the rate of glucose
uptake is low compared to the rate of uptake in adipose tissue or
skeletal muscle.
[0444] The values of .beta. were determined by a least squares
minimization of the average error for each individual data set and ranged
from 0.04 to 011 min.sup.-1, except for one case, where .beta. equaled
0.22 min.sup.-1. These results in rats show that .beta. is relatively
constant. If this proves to be true also in humans then it may not be
necessary to determine .beta. for each patient, or for different
subcutaneous placement sites in a particular patient. Table 4 summarizes
the statistics for comparison of the prediction of the forward model with
the subcutaneous sensor data.
4TABLE 4
Average differences between the measured
subcutaneous glucose
concentrations and the predicted subcutaneous
glucose concentrations.
Rat Forward Model No Model
1 12.4% 23.8%
2 14.6% 23.5%
3 11.9% 16.2%
4 7.4%
24.1%
5 6.0% 16.0%
6 4.9% 14.3%
7 5.2% 9.6%
Mean 8.9% 18.2%
std 7.8% 14.5%
[0445] On average the forward model predicted the readings of the
subcutaneous sensor from those in blood with a difference of 8.9.+-.7.8%.
If the subcutaneous concentration of glucose were estimated to equal that
measured by the jugular sensor (i.e., if the model were not used), the
average difference would have been 18.2.+-.14.5%. The values derived
through the model and those measured differed and the difference was
statistically significant (p=0.001). In the 40-min interval after
injection of the insulin, the time period that is most in need of
correction, the average of the maximal differences was decreased through
the model from 30.7% to 11.1% (Table 5, p=0.01).
5TABLE 5
Maximum differences between the measured
subcutaneous glucose
concentrations and the predicted subcutaneous
glucose concentrations
during the 40 minute period following
insulin injection.
Rat Forward Model No Model
1
12.5% 22.9%
2 15.9% 34.8%
3 17.7% 21.6%
4 2.7% 50.4%
5 13.9% 35.3%
6 9.7% 35.8%
7 5.2% 14.2%
Mean
11.1% 30.7%
Std 5.5% 12.0%
Example 10
Prediction of Blood Glucose Concentration
[0446] The value of B(.tau.) in equations (6-8) was determined as
described above. The weight factor .lambda. was first estimated by the
method described above. The initial condition of B(0)=S(0) was then
enforced within 10% to find a more exact value of .lambda. based on the
initial guess. Further refining of the value of .lambda. had little
effect on the results. Time t=0 for modeling purposes was taken to be 20
minutes before insulin injection. Plots of the inverse model predictions
are shown in FIG. 44.
[0447] On average, the inverse model predicted in all experiments the
performance of blood glucose concentrations sensed in the jugular veins,
even when the blood and subcutaneous glucose concentrations were dropping
rapidly and from a steady state, within 11.1.+-.10.6%, as shown in Table
6. If the subcutaneous concentration of glucose were considered to equal
that given by the jugular sensor (i.e., if the inverse model were not
used), the average difference would have been greater 22.9.+-.14.4%
(p=0.025).
6TABLE 6
Average differences between the measured
blood glucose concentrations
and the blood glucose concentrations
predicted from the subcutaneous
measurements.
Rat Inverse
Model No Model
1 13.3% 22.7%
2 13.3% 20.5%
3
13.6% 15.9%
4 14.8% 48.9%
5 8.2% 23.2%
6 7.9% 15.7%
7 6.9% 13.7%
Mean 11.1% 22.9%
Std 10.6% 14.4%
[0448] Furthermore, during the 40 minute period following insulin
injection, when the dynamic difference was greatest, the maximum
difference between the blood and the subcutaneous glucose concentrations
was 84.1.+-.36.1%. By using the inverse model the maximum difference
between the computed blood glucose concentration and the actual
concentration was reduced to 29.3.+-.8.4% (Table 7, p=0.006).
7TABLE 7
Maximum differences between the measured
blood glucose concentrations
and the blood glucose concentrations
predicted from the subcutaneous
measurements during the 40 minute
period following insulin injection.
Rat Inverse Model No Model
1 22.8% 72.8%
2 38.8% 67.8%
3 18.0% 41.3%
4 31.5% 157.3%
5 28.5% 94.9%
6 40.9% 72.7%
7 24.8%
82.1%
Mean 29.3% 84.1%
Std 8.4% 36.1%
[0449] The present invention should not be considered limited to the
particular examples described above, but rather should be understood to
cover all aspects of the invention as fairly set out in the attached
claims. Various modifications, equivalent process, as well as numerous
structures to which the present invention may be applicable will be
readily apparent to those of skill in the art to which the present
invention is directed upon review of the instant specification. The
claims are intended to cover such modifications and devices.
* * * * *