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| United States Patent Application |
20050287620
|
| Kind Code
|
A1
|
|
Heller, Adam
;   et al.
|
December 29, 2005
|
METHOD OF DETERMINING ANALYTE LEVEL USING SUBCUTANEOUS ELECTRODE
Abstract
A small diameter flexible electrode designed for subcutaneous in vivo
amperometric monitoring of glucose is described. The electrode is
designed to allow "one-point" in vivo calibration, i.e., to have zero
output current at zero glucose concentration, even in the presence of
other electroreactive species of serum or blood. The electrode is
preferably three or four-layered, with the layers serially deposited
within a recess upon the tip of a polyamide insulated gold wire. A first
glucose concentration-to-current transducing layer is overcoated with an
electrically insulating and glucose flux limiting layer (second layer) on
which, optionally, an immobilized interference-eliminating horseradish
peroxidase based film is deposited (third layer). An outer (fourth) layer
is biocompatible.
| Inventors: |
Heller, Adam; (Austin, TX)
; Pishko, Michael V.; (Austin, TX)
|
| Correspondence Address:
|
MERCHANT & GOULD PC
P.O. BOX 2903
MINNEAPOLIS
MN
55402-0903
US
|
| Assignee: |
TheraSense, Inc.
Alameda
CA
|
| Serial No.:
|
109379 |
| Series Code:
|
11
|
| Filed:
|
April 19, 2005 |
| Current U.S. Class: |
435/14 |
| Class at Publication: |
435/014 |
| International Class: |
C12Q 001/54 |
Goverment Interests
[0002] This work was supported in part by the National Institutes of
Health (DK42015). Accordingly, the U.S. government may have rights in
this invention.
Claims
1. (canceled)
2. A method comprising: (a) subcutaneously positing at least a portion of
a first sensor in a patient; (b) obtaining a first sensor reading from
the first sensor related to an analyte level; (c) obtaining a second
sensor reading from a second sensor, the second sensor reading related to
the analyte level; (d) calibrating the first sensor using the second
sensor reading.
3. The method of claim 2, wherein the step of obtaining a second sensor
reading from a second sensor comprises: (a) withdrawing a sample of blood
from the patient; and (b) obtaining the analyte level in the sample of
blood with the second sensor.
4. The method of claim 3, wherein the step of withdrawing a sample of
blood comprises withdrawing only a single sample of blood.
5. The method of claim 2, wherein the analyte is glucose.
6. The method of claim 2, wherein the step of obtaining a second sensor
reading from a second sensor comprises: (a) obtaining the second sensor
reading from the second sensor after at least one hour of operation of
the first sensor.
7. The method of claim 6, further comprising: (a) obtaining a third sensor
reading from a third sensor, the third sensor reading related to the
analyte level; and (b) calibrating the first sensor using the third
sensor reading.
8. The method of claim 7, wherein the step of obtaining a third sensor
reading from a third sensor comprises: (a) withdrawing a sample of blood
from the patient; and (b) obtaining the analyte level in the sample of
blood with the third sensor.
9. The method of claim 8, wherein the step of obtaining a third sensor
reading from the third sensor comprises: (a) obtaining the third sensor
reading from the third sensor after 72 hours of operation of the first
sensor.
10. The method of claim 2, wherein the step of subcutaneously positioning
at least a portion of the first sensor in a patient comprises: (a)
subcutaneously positioning at least a portion of the first sensor in an
abdomen, inner thigh, or arm of the patient.
11. The method of claim 2, wherein the second sensor is a subcutaneously
implanted sensor.
12. A method comprising: (a) subcutaneously positioning at least a portion
of a first sensor in a patient; (b) obtaining a first sensor reading from
the first sensor related to an analyte level; (c) obtaining a second
sensor reading from a second sensor, the second sensor reading related to
the analyte level; (d) confirming the results of the first sensor reading
with the second sensor reading.
13. The method of claim 12, wherein the step of obtaining a second sensor
reading from a second sensor comprises: (a) withdrawing a sample of blood
from the patient; and (b) obtaining the analyte level in the sample of
blood with the second sensor.
14. The method of claim 13, wherein the step of withdrawing a sample of
blood comprises withdrawing only a single sample of blood.
15. The method of claim 12, wherein the analyte is glucose.
16. The method of claim 12, wherein the step of obtaining a second sensor
reading from a second sensor comprises: (a) obtaining the second sensor
reading from the second sensor after at least one hour of operation of
the first sensor.
17. The method of claim 12, further comprising: (a) obtaining a third
sensor reading from a third sensor, the third sensor reading related to
the analyte level; and (b) confirming the results of the first sensor
using the third sensor reading.
18. The method of claim 17, wherein the step of obtaining a third sensor
reading from a third sensor comprises: (a) withdrawing a sample of blood
from the patient; (b) obtaining the analyte level in the sample of blood
with the third sensor.
19. The method of claim 17, wherein the step of obtaining a third sensor
reading from the third sensor comprises: (a) obtaining the third sensor
reading from the third sensor after 72 hours of operation of the first
sensor.
20. The method of claim 12, wherein the step of subcutaneously positioning
at least a portion of the first sensor in a patient comprises: (a)
subcutaneously positioning at least a portion of the first sensor in an
abdomen, inner thigh, or arm of the patient.
21. A method comprising: (a) subcutaneously positioning at least a portion
of a first sensor in a patient; and (b) calibrating the first sensor
after at least 1 hour of subcutaneously positioning the first sensor.
22. The method of claim 21, wherein the step of calibrating comprises: (a)
using a second sensor.
23. The method of claim 22, wherein the step of calibrating further
comprises (a) using a third sensor.
24. The method of claim 21, wherein the step of calibrating the first
sensor after at least 1 hour comprises: (a) calibrating the fist sensor
periodically after at least 1 hour.
25. The method of claim 21, wherein the step of subcutaneously positioning
at least a portion of the first sensor in a patient comprises: (a)
subcutaneously positioning at least a portion of the first sensor in an
abdomen, inner thigh, or arm of the patient.
Description
[0001] This application is a Continuation of application Ser. No.
10/353,341, filed Jan. 28, 2003, now U.S. Pat. No. 6,881,551, which is a
Continuation application of Ser. No. 09/997,808, filed Nov. 29, 2001, now
U.S. Pat. No. 6,514,718, which is a Continuation application of Ser. No.
09/668,221, filed Sep. 22, 2000, now U.S. Pat. No. 6,239,161, which is a
Continuation of application Ser. No. 09/477,053, filed Jan. 3, 2000, now
U.S. Pat. No. 6,162,611, which is a Continuation of application Ser. No.
09/356,102, filed Jul. 16, 1999, now U.S. Pat. No. 6,121,009, which is a
Continuation of application Ser. No. 08/767,110, filed Dec. 4, 1996, now
U.S. Pat. No. 6,284,478, which is a continuation of application Ser. No.
08/299,526, filed Sep. 1, 1994, now U.S. Pat. No. 5,593,852, which is a
continuation-in-part of application Ser. No. 08/161,682, filed Dec. 2,
1993, now U.S. Pat. No. 5,356,786, which is a continuation of application
Ser. No. 07/664,054, filed Mar. 4, 1991, now abandoned, which
applications are incorporated herein by reference.
FIELD OF THE INVENTION
[0003] The present invention relates to in vivo enzyme biosensors and more
specifically to miniature glucose sensors for subcutaneous measurement of
glucose with one-point calibration.
BACKGROUND
[0004] In response to the need for frequent or continuous in vivo
monitoring of glucose in diabetics, particularly in brittle diabetes, a
range of possible in vivo glucose electrodes have been studied. The
desired characteristics of these electrodes include safety, clinical
accuracy and reliability, feasibility of in vivo recalibration, stability
for at least one hospital shift of eight hours, small size, ease of
insertion and removal, and a sufficiently fast response to allow timely
intervention. The in vivo recalibration should be based upon withdrawal
of a single sample of body fluid, e.g., blood, and measuring its glucose
concentration. This is termed "one point calibration".
[0005] Keys to safety are absence of leachable components,
biocompatibility, and limiting of the potentially hazardous foreign
matter introduced into the body to an amount that is inconsequential in a
worst case failure. The clinical accuracy must be such that even when the
readings are least accurate, the clinical decisions based on these be
still correct. Feasibility of prompt confirmation of proper functioning
of the sensors and of periodic in vivo recalibration is of essence if a
physician is to allow the treatment of a patient to depend on the
readings of the sensor. This one-point calibration, relying on the signal
at zero glucose concentration being zero and measuring the blood glucose
concentration at one point in time, along with the signal, is of essence,
but has heretofore been elusive. The sensitivity must be sufficiently
stable for the frequency of required in vivo recalibration to not be
excessive. The sensor must be small enough to be introduced and removed
with minimal discomfort to the patient and for minimal tissue damage. It
is preferred that the sensor be subcutaneous and that it be inserted and
removed by the patient or by staff in a physician's office. Finally, its
response time must be fast enough so that corrective measures, when
needed, can be timely.
[0006] In response to some of these needs, needle type and other
subcutaneous amperometric sensors were considered. The majority of these
utilized platinum-iridium, or platinum black to electrooxidize
H.sub.2O.sub.2 generated by the glucose oxidase (GOX) catalyzed reaction
of glucose and oxygen. In these sensors, the GOX was usually in large
excess and immobilized, often by crosslinking with albumin and
glutaraldehyde. To exclude electrooxidizable interferants, membranes of
cellulose acetate and sulfonated polymers including Nafion.TM. were used.
Particular attention was paid to the exclusion of the most common
electrooxidizable interferants: ascorbate, urate and acetaminophen. Also
to cope with the interferants, two-electrode differential measurements
were used, one electrode being sensitive to glucose and electrooxidizable
interferants and the other only to interferants. One strategy for
overcoming the problem of interferants, applicable also to the present
invention, involves their preoxidation. Another strategy involves
shifting, through chemical changes, the redox potential of the polymer in
the sensing layer to more reducing potentials. When the redox potential
of the polymer is in the region between about -0.15 V and +0.15 V versus
the standard calomel electrode (SCE), and the electrodes are poised in
their in vivo operation between about -0.10 and +0.25 V, the rate of
electrooxidation of interferants such as ascorbate, urate, and
acetaminophen is very slow relative to that of glucose through its
physiological concentration range. Thus, also the currents from
electrooxidation of interferants are small relative to those of glucose.
[0007] To make the electrodes more biocompatible, hydrophilic
polyurethanes, poly(vinyl alcohol) and polyHEMA membranes have been used.
[0008] Several researchers tested GOX-based glucose sensors in vivo and
obtained acceptable results in rats, rabbits, dogs, pigs, sheep and
humans. These studies validated the subcutaneous tissue as an acceptable
glucose sensing site. Good correlation was observed between intravascular
and subcutaneous glucose concentrations. They also demonstrated the need
for in vivo sensor calibration. Another approach to in vivo glucose
monitoring was based on coupling subcutaneous microdialysis with
electrochemical detection. To control and adjust the linear response
range, electrodes have been made glucose-diffusion limited, usually
through glucose transport limiting membranes.
[0009] Diffusional mediators, through which the O.sub.2 partial pressure
dependence of the signals is reduced, are leached from sensors. Such
leaching introduces an unwanted chemical into the body, and also leads to
loss in sensitivity, particularly in small sensors. In microsensors, in
which outward diffusion of the mediator is radial, the decline in
sensitivity is rapid. This problem has been overcome in "wired" enzyme
electrodes, i.e., electrodes made by connecting enzymes to electrodes
through crosslinked electron-conducting redox hydrogels ("wires").
Glucose oxidase has been "wired" with polyelectrolytes having electron
relaying [Os(bpy).sub.2Cl].sup.+/2+ redox centers in their backbones.
Hydrogels were formed upon crosslinking the enzyme and its wire on
electrodes. These electrodes had high current densities and operated at a
potential of 0.3V vs. SCE. The electrooxidizable interferants are
eliminated through peroxidase-catalyzed preoxidation in a second,
nonwired, hydrogen peroxide generating layer on the "wired" enzyme
electrode.
SUMMARY OF THE INVENTION
[0010] A small (e.g., 0.29 mm), recessed, non-corroding metal (e.g., gold,
platinum, palladium) or carbon wire electrode for subcutaneous in vivo
glucose monitoring, approaching in its performance all of the above
listed requirements, including in vivo one-point calibration, has been
produced. The electrode was constructed by depositing active polymer
layers into a recess formed by etching away gold from an insulated gold
wire.
[0011] The active polymer layers, including a sensing layer, a glucose
flux-limiting layer, a biocompatable layer, and optionally a
peroxidase-based interferant eliminating layer, were protected within the
recess against mechanical damage. (The peroxidase-based interferant
eliminating layer is not required when a lower redox potential polymer is
used, as described above.) The recess and its polymer layers also reduced
the transport of glucose to the wire electrode contacting sensing layer.
[0012] By limiting the glucose flux, the desired linear response range,
spanning the clinically relevant glucose concentration range was
obtained. The inventive biosensors are able to accurately measure, for
example, approximately 2-30 m.mu. glucose and approximately 0.5-10 m.mu.
lactate, in vivo. The sensor has no leachable components, and its four
crosslinked polymer layers contain only about 5 .mu.g of immobilized
material, and only a few nanograms of polymer-bound osmium. Preoxidation
of the interferants in one of the four layers makes possible one-point in
vivo calibration of the sensor.
BRIEF DESCRIPTION OF THE FIGURES
[0013] FIG. 1 is a schematic drawing of an electrode of the present
invention.
[0014] FIG. 2 is a graphical representation of data generated comparing
current density of glucose electrooxidation on electrodes made with
PVI.sub.5-Os (open triangles) with those made with PVI.sub.3-Os (filled
triangles).
[0015] FIG. 3 is a graphical representation of data generated comparing
dependency of current generated on the depth of the recess.
[0016] FIG. 4 is a graphical representation of data generated comparing
dependency of the ratio of the current generated and the charge required
to electoreduce or oxidize the polymer redox centers in the sensing layer
on the thickness of the sensing layer.
[0017] FIG. 5 is a graphical representation of data generated comparing
variation of current generated by electrodes having sensing layers of
differing thickness and diffusion limiting layers of different
compositions and thickness. Solid circles: 7.5 .mu.m thick sensing layer
of PVI.sub.5-Os (52%), RGOX (35%), PEGDGE (13%), coated with 4 .mu.m
PAL/PAZ (1:1 ratio). Open circles: 5.0 sensing layer. Solid triangles:
12.5 .mu.m sensing layer and 7 .mu.m PAL/PAZ (1:2 ratio). Open triangles:
7.5 .mu.m sensing layer and 4.5 .mu.m PAL/PAZ (1:2 ratio).
[0018] FIG. 6 is a graphical representation of data generated comparing
dependency of current generated on the presence of ascorbate, in the
absence and presence of lactate and glucose. The concentrations of
ascorbate (A), lactate (L) and glucose (G) are shown. Ascorbate is an
electrooxidzable interferant. Upon addition of lactate its
electrooxidation current is suppressed while that of glucose is not
suppressed.
[0019] FIG. 7 is a graphical representation of data showing current
density and corresponding subcutaneous glucose concentration measured
with the subcutaneously implanted electrodes of the present invention in
a rat animal model. Large solid circles show blood glucose concentrations
measured on withdrawn blood samples using a YSI analyzer.
[0020] FIG. 8 is a Clarke-type clinical grid analyzing the clinical
relevance of the blood glucose measurements of FIG. 7.
[0021] FIG. 9 is a Clarke-type clinical grid of all possible correlations
obtained when each of the 24 glucose analyses of FIG. 7 were used for
single point calibration of either implanted electrode.
[0022] FIG. 10 is a Clarke-type clinical grid testing improvement of the
single point calibration through redundant electrodes, the readings of
which were within the standard deviation calculated for all differences
between simultaneous readings by a pair of implanted electrodes.
DETAILED DESCRIPTION OF THE INVENTION
[0023] The present invention includes an insulated, non-corroding
conducting metal (e.g., gold, platinum, palladium) or carbon wire-based
small (e.g., 290 .mu.m) O.D. subcutaneous glucose sensor, allowing
one-point calibration in vivo. As shown in FIG. 1, its construction
involves coating a small (e.g., 250 .mu.m) diameter non-corroding metal
or carbon wire 2 with an electrically insulating material 4, e.g., a
polyimide, and, layering in a recess 6 formed by etching or removing a
portion of the metal or carbon, the following active polymeric layers: an
immobilized, "wired," glucose oxidase layer 8; an electrically insulating
and glucose diffusion limiting layer 10 formed, for example, by
crosslinking a polyallylamine (PAL) with a polyaziridine (PAZ);
optionally, an interference eliminating layer 12, e.g., of crosslinked
horseradish-peroxidase and lactate oxidase; and a biocompatible film 14
e.g., of poly(ethylene oxide) (PEO) derivatized to allow its
p
hoto-crosslinking. The outside diameter a of the wire 2 is preferably
about 0.25 mm or less, and the outside diameter b of the insulated wire
is preferably about 0.3 mm or less. The recess 6 in the insulated
electrode extends from the tip 16 of the electrode which is open to the
surrounding environment, to the top 18 of the wire 2 in the insulating
sheath, generally for a length c of less than about 0.150 mm, and
preferably about 0.125 mm.
[0024] The electrodes have no leachable components. The total amount of
polymers and enzymes is preferably about 5 .mu.g. The glucose response
through the physiologically relevant 2-20 mM concentration range is close
to linear. The electrodes do not respond to ascorbate, urate or
acetaminophenol for at least about 36 hours. Their 10-90% response time
is about 90 seconds at 2 mM glucose and about 30 seconds at 20 mM
glucose. Their sensitivity, after about 30 minutes equilibration, is
stable for about 72 hours at 37.degree. C. in 10 mM glucose, the current
deviating from the average by less than ..+-..5%. The electrodes have
substantially no signal output, e.g., current, charge, or potential, when
the concentration of the analyte to be measured is zero.
[0025] Two electrodes implanted subcutaneously in a rat tracked blood
glucose levels, and their absolute, uncorrected current output was
proportional to the blood glucose concentration. Analysis of the
correlation between the blood glucose levels in the tail vein and the
current output of the sensors in the subcutaneous regions of the thorax
and between the scapulae of the same rat showed that even when the probed
sites and organs differed in the extreme, one point in vivo calibration
was valid. The analysis also showed the value of implanting redundant
sensors. Had clinical decisions been made based on individual sensor
readings, calibrated at one point, 94% would have been clinically
correct. By using redundant sensors and accepting only those pairs of
readings that were within one standard deviation, the percentage of the
clinically correct decisions was increased to 99%.
[0026] It is understood that one of skill in the art may substitute
various components of the biosensor described above with known materials
to obtain an modified biosensor using the principles outlined herein. For
example, the following substitutions are contemplated:
[0027] Base electrode: The base electrode of the inventive sensor may be
formed of a non-corroding metal or carbon wire, for example vitreous
carbon, graphite, platinum, palladium, or gold. Gold is preferred, and is
used in the following illustrative examples of the invention.
[0028] Insulator: The conductive metal or carbon wire is coated with an
electrically insulating material, which also forms a wall about the
recess which houses the active polymeric components. The insulating
material may be, for example, polyurethane, teflon (fluorinated
polymers), polyethyleneterephthalate (PET, Dacron) or polyimide. The
insulating material is preferably a biocompatible polymer containing less
than about 5% water when in equilibrium with physiological body fluids,
e.g., subcutaneous tissue.
[0029] Recess: In general, the recess at the tip of the electrode is
approximately 20 to 150 .mu.m in length c, and preferably is
approximately 50 to 125 .mu.m.
[0030] Etching method: The method for etching metal from the tip of the
electrode described herein may utilize chloride, bromide or iodide in the
bath in lieu of cyanide as described. Bromide is preferred, because it is
less toxic and, like Au(CN).sub.2.sup.-, AuBr.sub.4.sup.- is a water
soluble anion. Thus, in aqueous HBR, the metal, e.g., gold, an be etched
by applying a sufficiently oxidizing potential where gold is
electrolytically dissolved:
Au+4HBr.fwdarw.HAuBr.sub.4+(3/2)H.sub.2
[0031] Wired Enzyme Layer: In the sensing enzyme-containing layer, glucose
oxidase may be substituted with other redox enzymes to measure other
relevant clinical compounds. For example, lactate oxidase may be used for
the in vivo detection of lactate, important in determining if an organ is
receiving sufficient oxygen through the blood.
[0032] Useful redox polymers and methods for producing the sensing layer
are described, for example, in U.S. Pat. Nos. 5,264,104; 5,356,786;
5,262,035, and 5,320,725. Additional redox polymers include, for example,
poly(1-vinyl imidazole); poly(4-vinyl pyridine); or copolymers of 1-vinyl
imidazole such as poly (acrylamide co-1-vinyl imidazole) where the
imidazole or pyridine complexes with [Os (bpy).sub.2 Cl].sup.+/2+; [Os
(4,4'-dimethyl bipyridine).sub.2Cl].sup.+/2+; [Os (4,4'-dimethyl
phenanthroline).sub.2Cl--].sup.+/2+; [Os(4,4'-dimethyoxy
phenanthroline).sub.2Cl].sup.+/2+; and [Os (4,4'-dimethoxy
bipyridine).sub.2C].sup.+/2+; to imidazole rings. The imidazole ring
compounds are preferred because their complexes have more reducing redox
potentials, i.e., closer to that of the SCE potential. At these more
reducing potentials, the rate of electrooxidation of interferants and the
current generated thereby.
[0033] Barrier Layer: The polymeric barrier layer is electrically
insulating and limits diffusion of glucose through to the sensing layer.
It may be formed, for example, by crosslinking a polyallylamine (PAL)
with a polyaziridine (PAZ). Alternatively, PAL may be replaced wholly or
in part with a zwitterionic polymer obtained by quaternizing
poly(vinylpyridine) with bromoacetate and dialyzing against 0. 15M NaCl
or by a polyanion such as a polysulfonic acid.
[0034] The barrier layer may contain a polyanionic polymer, in which the
rate of permeation of anionic interferants such as ascorbate and urate is
slowed. This layer may also contain a polycation that enhances the
retention of the polyanion by electrostatic bonds and improves wetting by
the biocompatable layer.
[0035] Interference Eliminating Layer: As described above, this layer is
optional, in that it is not required when a redox polymer having a more
reducing potential is used, such as PVI.sub.15-dmeOs (Ohara et al.,
Analytical Chemistry, 1994, 64:2451-2457). At operating potentials of
approximately -0.10 to +0.25 for the glucose biosensor, the rate of
electrooxidation of interferants such as ascorbate, urate and
acetaminophen is very slow relative to that of glucose through its
physiological concentration range.
[0036] When a separate interferant eliminating layer is used, it
preferably contains a peroxidase enzyme which may or may-not be
preactivated. Such interferant eliminating layers are disclosed, for
example, in U.S. Pat. No. 5,356,786, which discloses the structure and
function of interferant eliminating biosensors. The glucose biosensor
preferably contains lactate oxidase (LOX) in combination with peroxidase
in the interferant eliminating layer. However, for biosensors used to
detect lactate, glucose oxidase would be used with peroxidase. In a
similar manner, the enzyme composition of the interferant eliminating
layer may be altered for a specified function.
[0037] Biocompatable Layer: In general, the biocompatable layer is
comprised of hydrogels, e.g., polymeric compositions which contain more
than about 20% by weight of water when in equilibrium with a
physiological environment such as living tissue or blood. An example is
crosslinked poly(ethylene oxide), e.g., poly(ethylene oxide)
tetraacrylate. The polymeric compositions must be non-toxic and
compatible with living Systems.
[0038] Method for making multi-layered recessed biosensors: Insulated
non-corroding metal or carbon wires that have been etched as described
above to contain a recess at the tip, are placed in a block that serves
as an X-Y positioner. The wires vertically traverse the block and are
held in place, e.g., by pressure. The blocks with the wires can be formed
of elements, each element having multiple half-cylinder grooves running
vertically. The wires are placed in these grooves and the elements are
assembled into the block using screws. For example, the block may be
formed of aluminum having equally spaced holes, (900 for a 30.times.30
array of wires), each hole to contain one wire. The block is positioned
under a fixed micronozzle that ejects a fluid in to the recess of the
insulated wire.
[0039] To reduce the requirement of precision in the positioning of the
block and the micronozzle, the nozzle is electrically charged, with the
wire having an opposite charge, or the wire being grounded or at least
having a potential such that there is a potential difference between the
nozzle and the wire. Because the nozzle is charged, the microdroplets it
ejects are also charged with the same type of charge (positive or
negative) as the nozzle. The higher the potential on the nozzle (e.g.,
versus ground potential), the higher the charge on the ejected
microdroplets. If the tip of the wire to be coated is at ground potential
or has a charge of the opposite type, the charged microdroplets are
guided into the recess to deposit on the electrode, even if the jet of
microdroplets is not vertical, i.e., even if the micronozzle is not
precisely aligned above the wire's tip.
[0040] Furthermore, the higher the electrical potential on the nozzle
(relative to ground) the greater the charge on the ejected microdroplet.
When the charge is high enough, the droplet breaks up into two or more
smaller droplets because of electrostatic repulsion of charges on the
droplet. Thus, the very small droplets all "drift" (drift meaning
transport assisted by an electrical field) to the recessed electrode
surface and are collected on it, even if they did not originate in a
nozzle precisely aligned with the electrode.
[0041] This coating method is useful in making any small biosensor, not
only those in recessed zones.
[0042] Clinical Use of the Recessed Biosensors:
[0043] The recessed biosensors of the present invention have sufficient
sensitivity and stability to be used as very small, subcutaneous
biosensors for the measurement of clinically relevant compounds such as
glucose and lactate. The electrodes accurately measure glucose in the
range of about 2-30 .mu.M and lactate in the range of about 0.5-10 mM.
One function of the implanted biosensor is to sound an alarm when, for
example, a patient's glucose concentration is too low or too high. When
pairs of implanted electrodes are used, there are three situations in
which an alarm is triggered: low glucose concentration, high glucose
concentration; sensor malfunction as determined by a discrepancy between
paired readings of the two sensors. A discrepancy sufficient to trigger
the alarm may be, for example more than two or three times the standard
deviation persisting for a defined period, e.g., not less than ten
minutes. Such a system may be useful in sleeping patients, and also in
emergency and intensive care hospital rooms, where vital functions are
continuously monitored.
[0044] Another function of the inventive biosensors in to assist diabetics
in maintaining their blood glucose levels near normal. Many diabetics now
maintain higher than normal blood glucose levels because of danger of
coma and death in severe hypoglycemia. However, maintaining blood glucose
levels substantially, e.g., approximately 40% or more above normal leads
to retinopathy and blindness as well as to kidney failure. Use of the
subcutaneous biosensors to frequently, if not continuously, monitor
glucose concentrations is desirable so that glucose concentrations can be
maintained closer to an optimum level.
[0045] The subcutaneous biosensors can be used to measure the rate of rise
and decline of glucose concentrations after a meal or the administration
of glucose (e.g., a glucose tolerance test). The sensors are also useful
in feedback loops for automatic or manually controlled maintenance of
glucose concentrations within a defined range. For example, when used in
conjunction with an insulin pump, a specified amount of insulin is
delivered from the pump if the sensor glucose reading is above a set
value.
[0046] In all of these applications, the ability to promptly confirm that
the implanted sensor reading is accurate is essential. Prompt
confirmation and rapid recalibration are possible only when one-point
calibration is valid. Generally, even if a sensor's response is linear
through the relevant concentration range, calibration requires at least
two blood or fluid samples, withdrawn from the patient at times when the
glucose concentration differs. It usually takes several hours for the
glucose concentration to change sufficiently to validate proper
functioning by two-point calibration. The ability to confirm and
recalibrate using only one point is thus a highly desirable feature of
the present invention.
[0047] Redundant sensors (e.g., at least two) are preferred in the
clinical application of the subcutaneous biosensors. Such redundancy
permits signaling of failure of any one sensor by recognition of an
increase in the discrepancy between the readings of the sensors at one
time point, e.g., more than two standard deviations apart. The redundant
sensors may be implanted near each other or at remote sites.
[0048] It is preferred that the biosensors be implanted in subcutaneous
tissue so as to make the sensor relatively unobtrusive, and at a site
where they would not be easily dislodged, e.g., with turning or movement.
It is also preferred, when readings are not corrected for temperature
(which they generally are) that the sensors be implanted where they are
likely to be at body temperature, e.g., near 37.degree. C., and
preferably covered by clothing. Convenient sites include the abdomen,
inner thigh, arm.
[0049] Although we describe here continuous current measurement for
assaying glucose, the electrical measurement by which the glucose
concentration is monitored can be continuous or pulsed. It can be a
current measurement, a potential measurement or a measurement of charge.
It can be a steady state measurement, where a current or potential that
does not substantially change during the measurement is monitored, or it
can be a dynamic measurement, e.g., one in which the rate of current or
potential change in a given time period is monitored. These measurements
require at least one electrode in addition to the sensing electrode. This
second electrode can be placed on the skin or can be implanted, e.g.,
subcutaneously. When a current is measured it is useful to have a
potentiostat in the circuit connecting the implanted sensing electrode
and the second electrode, that can be a reference electrode, such as an
Ag/AgCl electrode. When a current is measured the reference electrode may
serve also as the counter electrode. The counter electrode can also be a
separate, third electrode, such as a platinum, carbon, palladium or gold
electrode.
[0050] In addition to implanting the sending electrode in the body, fluid
from the body, particularly fluid from the subcutaneous region, can be
routed to an external sensor. It is preferred in this case to implant in
the subcutaneous region a microfiltration giver and pull fluid to an
evacuated container, the fluid traversing a cell containing the sensing
electrode. Preferably this cell also contains a second electrode, e.g., a
reference electrode which may serve also as a counter electrode.
Alternatively, the reference and counter electrodes may be separate
electrodes. In coulometric measurements only two electrodes, the sensing
electrode and the counter electrode are required. The flow of body fluid
may be pulsed or continuous. Other than an implanted microfiltration
fiber, also a microdialysis fiber may be used, preferably in conjunction
with a pump.
[0051] Increased Stability of the Biosensors:
[0052] To increase the stability and useful life of the inventive
biosensors, it is advantageous to use intrinsically more stable enzymes
and redox polymers. However, even if the enzyme and redox polymer degrade
in the glucose electrooxidation process by which the signal (current) is
generated, it is possible to greatly extend the useful life of the
implanted electrodes and reduce the frequency of their required
recalibration after implantation.
[0053] A simple measure by which the life of the implanted electrodes can
be extended and the frequency of their required recalibration reduced
involves turning the electrodes "on" by applying a bias, i.e., a
potential, only during the period of measurement, then turning the
biasing potential off or reducing it, so that a lesser current will flow.
It is generally sufficient to perform only one measurement every five or
even ten minutes, or longer, because glucose concentrations do not change
abruptly.
[0054] Another measure is to lower the glucose flux to the sensing layer
much as possible, consistent with maintaining adequate sensitivity and
detectivity. Reduction of the glucose flux to the sensing layer reduces
the current. Therefore, even though this stabilizes the electrodes, i.e.,
slows the loss in sensitivity, the flux dependent current must not be
excessively reduced. Usually a current of 3-5 nA at 2 mM glucose
concentration is adequate. When the glucose flux is lowered by using one
or more glucose-flux reducing polymer slayers, such as the PAL/PAZ layer,
the lifetime of the sensor is increased.
EXAMPLES
Example 1
[0055] Electrode Preparation
[0056] Electrodes were made of a polyamide-insulated 250 .mu.m diameter
gold wire, having an outer diameter (O.D.) of 290 .mu.m (California Fine
Wire Co., Grover City, Calif.). Heat shrinkable tubing (RNF 100 {fraction
({fraction (3/64)})}" BK and {fraction ({fraction (1/16)})}" BK,
Thermofit.RTM., Raychem, Menlo Park, Calif.) and a two component silver
epoxy (Epo-tek H.sub.2OE; Epoxy Tech, Inc., Billerica, Mass.) were used
for electrode preparation.
[0057] The glucose sensing layer was made by crosslinking a genetically
engineered glucose oxidase (rGOX) (35% purity, Chiron Corp., Emeryville,
Calif.) with a polymer derived of poly(vinylimidazole) (PVI), made by
complexing part of the imidazoles to [Os(bpy).sub.2C].sup.+/2+. The
resulting redox polymer, termed PVI-Os, was synthesized -according to a
previously published protocol. (Ohara et al., 1993, Anal. Chem., 65:24).
Poly(ethylene glycol) diglycidyl ether 400 (PEDGE; Polysciences,
Warrington, Pa.) was used as the crosslinker.
[0058] The barrier layer between the sensing and interference-eliminating
layers was made of polyallylamine (PAL; Polysciences) crosslinked with a
polyfunctional aziridine (PAZ) (XAMA-7; Virginia Chemicals, Portsmouth,
Va.).
[0059] The interference-eliminating layer was prepared by co-immobilizing
horseradish peroxidase (HRP) type VI (Cat. No. P-8375, 310 U/mg, denoted
herein as HRP-VI, Sigma, St. Louis, Mo.) and HRP for immunological assay
(No. 814407, min 1000 U/mg, denoted HRP-BM, Boehringer-Mannheim,
Indianapolis, Ind.) with lactate oxidase from Pediococcus sp. (Cat. No.
1361, 40 U/mg denoted LOX, Genzyme, Cambridge, Mass.) and a recombinant
microbial source (Cat. No. 1381 denoted rLOX, Genzyme). Co-immobilization
was performed using sodium periodate (Cat. No. S-1 147, Sigma) according
to the methods described in Maidan and Heller, 1992, Anal. Chem.
64:2889-2896.
[0060] The biocompatible layer was made of 10% aqueous poly(ethylene
oxide) tetraacrylate (PEO-TA). To form the p
hotocrosslinkable polymer,
PEO was acrylated by reaction with acryloyl chloride. The 18,500 g/mol
PEO (Polysciences) is a tetrahydroxylated compound by virtue of two
hydroxyl groups on a bisphenol A bisepoxide that linked two alpha.,
.omega.-hydroxy-terminated 9,000 g/mol PEO units. Acryloyl chloride
(Aldrich, Milwaukee, Wis.) in a 2 to 5 molar excess was used to acrylate
the polymer (10% w/v PEO in benzene). Triethylamine (Mallinkrodt, Paris,
Ky.) was used as a proton acceptor equimolar with theacryloyl chloride.
[0061] Other chemicals used were bovine serum albumin (BSA) fraction V
(Cat. No. A-2153), BSA, ascorbic acid, uric acid, 4-acetaminophenol,
L(+)=lactic acid, and hydrogen peroxide 30%., all from Sigma. All
chemicals were used as received. Solutions (if not otherwise specified)
were made with distilled, deionized water. Glucose monitoring was
performed in buffer, in bovine serum (Sigma, Cat. No. S-6648) containing
antibiotic-antimycotic solution (Sigma, Cat. No. A-8909) at 37.degree. C.
and in rats.
[0062] Instrumentation
[0063] In making the recessed gold electrodes, a potentiostat/galvanostat
(PAR Model 173, Princeton Applied Research, Princeton, N.J.) operated in
a galvanostatic mode, and a sonicator (Fisher scientific, Pittsburgh,
Pa.) were used. Cyclic voltammograms were recorded with a potentiostat
(PAR Model 273A) and a conventional electrochemical cell having a Pt wire
counter and a SCE reference electrode and were evaluated with PAR 270
software. Glucose signals were monitored with a bipotentiostat (Biometra
EP 30) and a two channel strip-chart recorder. The recessed electrodes
were coated under a microscope (Bausch & Lomb) using a micromanipulator
(Narishige, Seacliff, N.Y.). The micropipettes were pulled with a
micropipette puller (Narishige). Temperature was controlled with an
isothermal circulator (Fisher Scientific).
[0064] Electrode Preparation:
[0065] Five cm lengths of polyamide insulated gold wire were cut with a
sharp razor blade. Electrical contact was made at one end with silver
epoxy to an insulated stainless steel wire and the junction was covered
with insulating heat shrinkable tubing. The recess forming
electrochemical etching process was carried out in 10 ml of 3M potassium
cyanide, with the gold wire as the working electrode and a platinum or
gold wire as the counter electrode. The wires were placed in contact with
the bottom of the beaker, all electrodes being equidistant from the
counter electrode. The beaker was sonicated during the etching procedure.
The ends of the gold wires were bent upwards, so that agitation by the
sonicator caused the oxygen bubbles formed during the etching process to
rise and escape. The electrodes were then thoroughly washed and immersed
in water for 30 minutes.
[0066] A recess 6, i.e., channel, in a polyamide insulated gold wire 2 is
formed by electrochemical etching of the gold under galvanostatic
control. By controlling the charge, the total amount of gold
electrooxidized and dissolved as Au(CN).sub.2 is defined.
[0067] When the conditions were set so that the CN--transport into the
channel and the Au(CN).sub.2-- transport out of it are not rate limiting,
(e.g., sonicated bath and high concentration of potassium cyanide, at
least approximately 0.2M, and preferably 3M), a flat gold wire surface is
produced at the bottom of channels with aspect ratios of 0.5 to 2.0.
Thus, when the CN--concentration is high enough and the wires are
ultrasonically vibrated, the tips of gold wires are flat. Passage of 1.5
coulombs per electrode at 8 mA current produced approximately 125 Jim
deep cavities or channels. At theoretical efficiency for one-electron
oxidation, 3.08 mg of gold would have been etched. The amount of gold
actually etched was only 0.076 mg, showing significant CN--or water
oxidation.
[0068] Nevertheless, the process is reproducible, accurate and fast with
20 electrodes being processed in each batch in less than five minutes.
The recess-forming procedure was highly reproducible, with a deviation of
.+-.10 .mu.m found (using an objective micrometer) for a batch of 30
recessed electrodes. Before coating, the electrodes were examined under a
microscope for flatness of the gold surface and correct depth.
[0069] FIG. 1 shows a schematic side view in cross-section of an electrode
of the present invention, showing the gold wire 2, insulating coating 4,
and recess or channel 6. The recessed gold surfaces were coated by
filling of the cavities or channels 6 with aqueous solutions containing
the crosslinkable components of the different layers, and their
crosslinkers. The solutions were introduced under a microscope with a
micropipette (connected to a microsyringe by polyethylene tubing and
shrink tubing), using a micromanipulator. After application of each of
the individual layers, the electrodes were cured overnight at room
temperature, in air.
[0070] Electrode Structure:
[0071] The electrodes were prepared by sequentially depositing four layers
within the recess or channel 6. The layers were: the sensing layer 8, the
insulating layer 10, the interference-eliminating layer 12 and the
biocompatible layer 14. The sensing layer, containing "wired" redox
enzyme is positioned adjacent to and in contact with the gold wire 2. The
insulating layer 10 is positioned between the sensing layer 8 and the
peroxidase-based interferant-eliminating layer 12. The biocompatible
layer 14 fills the remaining space in the recess 6 and is in contact with
the environment outside the electrode. The thin polymer layers are well
protected by containment within the polyamide sleeve 4.
[0072] The sensing layer 8 was made by "wiring" rGOX to the gold electrode
through a redox hydrogel to which the enzyme was covalently bound. The
electrodes were prepared as follows: 10 mg/ml solutions were made from
[0073] 1. the PVI-Os redox polymer in water,
[0074] 2. the crosslinker, PEGDGE, in water, and
[0075] 3. the enzyme, rGOX, in a 10 mM HEPES solution adjusted to pH 8.15.
[0076] A redox hydrogel was formed by mixing the three solutions so that
the final composition (by weight) was 52% redox polymer, 35% enzyme and
13% crosslinker.
[0077] The insulating layer 10 prevented electrical contact between the
redox hydrogel and the interference eliminating enzymes (HRP and LOX).
PAL:PAZ was used as the insulating material. The film was deposited from
a solution obtained by mixing in volume ratio of {fraction ({fraction
(1/1)})}, 1/2 or 1/3, a PAL solution (4.5 mg in 100 mM HEPES buffer at pH
7.0) and a freshly prepared PAZ solution (30 mg/ml). The PAZ solution was
used within 15 minutes of preparation.
[0078] The interference-eliminating layer 12 was prepared according to a
previously published protocol, Maidan and Heller, 1992, Anal. Chem.,
64:2889-2896. 50 .mu.l of a 12 mg/ml freshly prepared sodium periodate
solution was added to 100 .mu.l of a solution containing 20 mg/ml HRP
(HRP-VI or HRP-BM) and 100 mg/ml LOX (LOX or rLOX) in 0.1 M sodium
bicarbonate and the mixture was incubated in the dark for two hours.
Alternatively, the oxidation of HRP could be carried out prior to adding
LOX and cross linking.
[0079] The biocompatible layer 14 films were p
hotocrosslinked by exposure
to UV light (UVP, Inc., San Gabriel, Calif.; Blak-Ray; spectral peak at
360 nM UV irradiance at the sample 200 mW/cm.sup.2) for one minute. The
initiator used was 2,2-dimethoxy-2-phenylacetophenone (Aldrich). A
solution of 300 mg/ml of the initiator in 1-vinyl-2-pyrrolidinone
(Aldrich) was added to the prepolymer mixtures. Approximately 30 .mu.l of
the initiator solution was added per ml of 10% w/w aqueous solution of
the tetraacrylated PEO. The prepolymers were crosslinked in situ inside
the recess of the electrode. The films were prepared by filling the
recess with the prepolymer solution twice and exposing the electrode to
the UV light source after each time the cavity was filled.
[0080] In Vitro Testing of Electrodes:
[0081] In vitro experiments were carried out in batch fashion at 250 and
37.degree. C., using a conventional three electrode electrochemical cell
with the enzyme-modified gold wire as the working electrode, a platinum
wire as the counter electrode and a saturated calomel reference electrode
(SCE). The electrolyte was a 20 mM phosphate buffered-saline solution
containing 0.15 M NaCl at pH 7.15. Experiments in serum were performed at
37.degree. C., adding 100 .mu.L antibiotic-antimycotic solution to 10 ml
serum. Phosphate buffered-saline and serum were agitated during the
experiments. The working potential was +0.3 V versus SCE for experiments
with the PVI-Os polymers.
[0082] Structure and Performance: The depth c of the channel 6 and the
thickness of the polymer layers in it controls the mass transport, i.e.,
flux of glucose, to the sensing layer. By controlling these parameters,
the apparent Michaelis constant (K.sub.m) is adjusted to about 20-30 mM
glucose. The polyimide wall 4 of the channel 6 also protects the four
polymer and polymer/enzyme layers 8, 10, 12, 14 against mechanical damage
and reduces the hazard of their loss in the body. Because the glucose
electrooxidation current is limited by glucose mass transport through the
recess 16 and its polymer films 8, 10, 12, 14, rather than by mass
transport to the tissue-exposed tip 16, the current is practically
insensitive to motion. Evidently, the electrooxidation rate of glucose in
the recessed sensing layer 8 is slower than the rate of glucose diffusion
to the channel's outer fluid contacting interface.
[0083] PVI.sub.5-Os is preferred as the "wire" of the sensing layer when
an interference eliminating layer of HRP and LOX is used, but not in the
absence of this layer, i.e., when redox polymers with more reducing redox
potential are preferred. The subscript (5) is used to indicate that, on
the average, every fifth vinylimidazole mer carries an electron-relaying
osmium center. Use of electrodes formed with PVI.sub.5-Os and
PVI.sub.3-Os (every third 1-vinylimidazole mer carrying an osmium center)
are compared in FIG. 2, and show higher current density of glucose
electrooxidation on electrodes made with PVI.sub.5-Os (open triangle)
than on those made with PVI.sub.3-Os (filled triangles).
[0084] Depth of the recess and the sensing layer: Channels of 125, 250,
and 500 .mu.m depth, were investigated to assess the dependence of the
current on the depth of the recess (FIG. 3), with the total amount of
PVI.sub.5-Os and rGOX being kept constant. Much of the loss in current in
the deeper cavities resulted not from reduced glucose mass transport, but
from adsorptive retention of part of the enzyme and polymer on the
polyamide wall when microdrops of the component solutions were introduced
into the recess in the process of making the electrodes. Through repeated
rinsing with water, some of the adsorbed polymer and enzyme on the walls
were washed onto the electrode surface, increasing the current. The
highest currents were seen after five washings. When the thickness of the
sensing layer was increased through increasing the number of coatings
(FIG. 4) the ratio of current to charge required to electroreduce or
electrooxidize the redox polymer in the sensing layer reached a maximum,
then dropped. For the preferred 125 .mu.m recess, 10 coatings, producing
an approximately 13 Am thick wired-rGOX sensing layer, yielded sensors
that had the desired characteristics for in vivo use.
[0085] The insulating layer: This layer electrically insulates the redox
enzymes of the interference eliminating layer (HRP and LOX) from the
"wired" rGOX layer and limits the glucose flux to the sensing layer,
thereby extending the useful life of the electrode. PAL crosslinked with
PAZ, forming a polycationic network at pH 7.09 is preferred. The best
results, i.e., best stability of current outputs, were obtained using 1:2
PAL:PAZ (FIG. 5), with three coatings applied to form an approximately 7
.mu.m thick crosslinked film.
[0086] The interference eliminating layer: Interferants, particularly
ascorbate, urate, and acetaminophenol, are oxidized in the third layer,
containing LOX and HRP. In this layer, lactate, the typical concentration
of which in blood is 1 mM, reacts with O.sub.2 to form H.sub.2O.sub.2 and
pyruvate. H.sub.2O.sub.2, in the presence of HRP, oxidizes ascorbate,
urate, and acetaminophenol, being reduced to water. The preferred
coimmobilization process involved two separate steps: periodate oxidation
of oligosaccharide functions of HRP to aldehydes, followed by mixing with
LOX and formation of multiple Schiff bases between HRP-aldehydes and LOX
amines (e.g. lysines) and between HRP aldehydes and amines. The thickness
of the interference eliminating layer is approximately 85 .mu.m and is
made by applying successive coatings, e.g., about six coatings. FIG. 6
shows that electrooxidizable interferants were eliminated in the presence
of lactate at physiological levels. LOX slowly lost its activity in the
crosslinked HRP-LOX layer. This led to degradation of the ability of the
layer to eliminate interferants. After 36 hours of operation at
37.degree. C., a measurable current increment was noted when enough
ascorbate was added to produce a 0.1 mM concentration.
[0087] The biocompatible layer: A preferred biocompatible layer consists,
for example, of p
hotocrosslinked tetraacrylated 18,500 Da poly(ethylene
oxide) (Pathak et al., 1993, J. Am. Chem. Soc., 114:8311-8312). The
thickness of this layer, made by sequential photo-crosslinking of two
coatings, is about 20 .mu.m. One minute UV exposure required for the
p
hotocrosslinking process reduced the sensitivity by 16.+-.2%.
Example 2
[0088] In Vivo Use of Sensor
[0089] The objective of this experiment was to establish the validity of a
one-point in vivo calibration. Two sensors were simultaneously implanted
subcutaneously in a rat, one on the thorax, the second between the
scapulae. To make the difference between the blood sampled and the
subcutaneous fluid proved with the sensors as extreme as possible, i.e.,
to probe whether the one-point calibration holds even if the organs
sampled are different and the sampling sites are remote, blood was
withdrawn from the tail vein. Blood glucose levels were periodically
measured in withdrawn samples, while the absolute uncorrected sensor
current output was continuously monitored.
[0090] In vivo experiments (6-10 hours) were carried out in 300 g male
Sprague-Dawley rats. The rats were fasted overnight and prior to the
experiment were anaesthetized with an intraperitoneal (i.p.) injection of
sodium pentobarbital (65 mg/kg rat wt). An i.p. injection of atropine
sulfate (166 mg/kg rat wt) was then administered to suppress respiratory
depression. Once the rat was anaesthetized, a portion of the rat's
abdomen was shaved, coated with a conductive gel, and an Ag/AgCl surface
skin reference electrode was attached. This electrode served also as the
counter electrode. Sensors were then implanted subcutaneously using a 22
gauge Per-Q-Cath Introducer (Gesco International, San Antonio, Tex.) on
the rat's thorax, or subcutaneously in the intrascepular area through a
small surgical incision. The sensors were taped to the skin to avoid
sensor movement. The sensors, along with the reference electrode, were
connected to an in-house built bipotentiostat. The operating potential of
the sensors was 0.3 V vs. Ag/AgCl, with the Ag/AgCl electrode serving as
both the reference counter electrode. Sensor readings were collected
using a data logger (Rustrak Ranger, East Greenwich, R.I.) and at the end
of the experiment were transferred to a computer. During the experiment,
the rat's body temperature was maintained at 37.degree. C. by a
homeostatic blanket. The sensors were allowed to reach a basal signal
level for at least one hour before blood sampling was started. Blood
samples were obtained from the tail vein and all blood samples were
analyzed using a glucose analyzer (YSI, Inc., Yellow Springs, Ohio; Model
23A).
[0091] Approximately thirty minutes after the start of blood sampling, an
i.p. glucose infusion was started using a syringe pump (Harvard
Apparatus, South Natick, Mass.) at a rate of 120 mg glucose/min kg rat
wt. The glucose infusion was maintained for approximately one hour.
[0092] As seen in FIG. 7, at 410 min the current dropped precipitously.
Such a drop was observed in other measurements with subcutaneously
implanted electrodes between 400 and 600 min, but was never observed in
electrodes operated in buffer at 37.degree. C. When the failed electrodes
were withdrawn and retested in buffer, most of their original sensitivity
was found to be intact. The cause for this apparent deactivation was
failure of the counter/reference Ag/AgCl electrode on the rat's skin to
make good electrolytic contact, and was not due to any failure of the
implanted sensor. Using an arbitrarily chosen point to calculate a
calibration curve for each electrode, i.e., one blood glucose level
determination and one current measurement to establish the scales, all
the data from FIG. 7 were plotted in a Clarke-type, (Clarke et al., 1987,
Diabetes Care, 5:622-627) clinical grid (FIG. 8), without further
correction. In this analysis, points falling in region A of the grid are
considered clinically accurate, while those in region B are considered
clinically correct. Points falling in region C are not correct, but would
not lead to improper treatment. Points in regions D and E are incorrect
and if treatment would rely on these, it would be improper.
[0093] All of the points, from both electrodes, were in regions A and B,
with 43 of the 48 points being in region A. The three points in region B
near 100 mg/dl glucose, for the electrode implanted between the scapulae,
were the last three points of the experiment, at about 410 min.
Notwithstanding the failure mode at 400-600 min because of poor
electrolytic contact of the counter/reference electrode with the skin and
failure after 36 hours by deactivation of the lactate oxidase, resulting
in loss of interference elimination, one-point calibration is shown here
to be practical. After such calibration, the readings of the subcutaneous
sensors provide, without any correction, clinically useful estimates of
blood glucose levels.
[0094] FIG. 9 shows the distribution of all possible. correlations
obtained when each of the 24 glucose analyses was used for single point
calibration of either implanted electrode. There are
2.times.24.times.24=1152 points in the distribution. Of these, 78% are in
region A, 15% are in region B, 1% in region C, 6% are in region D, and no
points are in region E.
[0095] In FIG. 10, we tested for the improvement of the single point
calibration through using redundant electrodes. First, the readings of
electrode A were normalized with respect to those of electrode B by
multiplying each reading by the average output of electrode B divided by
the average output of electrode A. Next the standard deviation was
calculated for the differences between the 24 sets of readings of
implanted electrode B and corrected readings of implanted electrode A.
Then, all those sets of readings that differed by more than the standard
deviation were rejected. The number of sets was reduced thereby from 24
to 11; 82% of the points were in region A, 17% in region B, 1% in region
D, and no points in regions C and E. The distribution demonstrates that
the sensors can be calibrated through a single independent measurement of
the glucose concentration in a withdrawn blood sample. They also
demonstrate the improvement in clinical accuracy resulting from the use
of redundant subcutaneous sensors. The selection of those data points
that differed by less than the standard deviation for the entire set led
to a sixfold reduction in the probability of clinically erring in a
decision based on readings of the implanted sensors.
[0096] Stability and Other Characteristics:
[0097] In order to improve the stability, more thermostable recombinant
GOX, (rGOX; Heller, 1992, J. Phys. Chem., 96:3579-3587) rather than GOX
is used in the sensor and glucose transport is reduced to make the sensor
current diffusion, not enzyme turnover, limited. The glucose flux is
attenuated by the three outer layers and the sensing layer itself.
Because the sensing layer contains a large excess of glucose oxidase, its
activity greatly exceeds that needed for electrooxidizing the attenuated
glucose flux, and the sensor's stability is improved.
[0098] The stability can be tested by methods known, for example, tested
in the presence of 0.1 mM ascorbate in 10 mM glucose at 37.degree. C. The
current output of a typical optimized electrode was about 35 nA and the
apparent K.sub.m, derived from an Eadie-Hofstee plot, was about 20 mM
(Table 1). The 10-90% response time was approximately one minute.
[0099] As expected, and as can be seen in FIG. 5, with thinner films the
glucose mass transport was increased, i.e., the current was higher, while
for thicker films the stability was improved. Because of the high
sensitivity of thin sensing film (approximately 1 .mu.m) electrodes (less
than 10.sup.-2A cm.sup.-2 M.sup.-1), an order of magnitude decrease in
sensitivity could be traded for stability, while the currents remained
high enough to be easily measured.
[0100] As seen in FIG. 5, the sensitivity of the stabilized sensors does
not change by more than +5% for 72 hours of operation at 37.degree. C.
After a small initial decrease in sensitivity, it increased to a maximum
after 40 hours and the final 72 hour sensitivity was almost identical
with the initial.
[0101] The characteristics of the electrodes of the present invention are
summarized in Table 1. Each entry represents an average value for five
tested electrodes. Baseline currents are typically less than 0.5 nA and
the noise less than 10 pA. The currents observed throughout the
physiological glucose concentration range (2-20 mM) exceed the noise
equivalent current by at least a factor of 100. The apparent K.sub.m is
20 mM, and the 10% to 90% response time is, for aged electrodes, about 90
seconds at the lowest physiologically relevant glucose concentration (2
mM) and 20 seconds at the highest (20 mM).
[0102] The baseline of nil at 0 mM glucose is stable for 36 hours in the
presence of 0.1 mM ascorbate. The stability observed and the existence of
a valid zero-point in the presence of interferants suggest that the
sensor can be used in vivo for 72 hours and tested/recalibrated in vivo
through a single point calibration, i.e., by withdrawing only a single
sample of blood for independent analysis.
1TABLE 1
SENSOR CHARACTERISTICS
Current
K.sub.m.sup.app (mM) K.sub.m.sup.app (mM) Variance
i
(nA) j (.mu.A/cm.sup.2) EH LB t.sub.r (s) (%)
33.9 69.1
18.5 33.4 30-90 5.0
where:
I is the current
measured at 37.degree. C. and at 10 mM glucose concentration
j is
the current density measured at 37.degree. C. at 10 mM glucose
concentration
K.sub.M.sup.app is the apparent Michaelis-Menten
coefficient determined from an electrochemical Eadie-Hoffstee (EH) or
Lineweaver-Burk (LB) plot
t.sub.r is the 10-90% risetime, 90 s
for 2 mM and 30 s for 20 mH glucose concentration.
Current
Variance is the maximum deviation from the mean value, measured during
the 72 hour test, conducted in 10 mM glucose in the presence of
interferants. The current was continuously monitored at 37.degree. C.
[0103] The foregoing examples are designed to illustrate certain aspects
of the present invention. The examples are not intended to be
comprehensive of all features and all embodiments of the present
invention, and should not be construed as limiting the claims presented
herein.
* * * * *