BACKGROUND
[0001] Analyte detection in physiological fluids, e.g. blood or blood derived products,
is of ever increasing importance to today's society. Analyte detection assays find
use in a variety of applications, including clinical laboratory testing, home testing,
etc., where the results of such testing play a prominent role in diagnosis and management
in a variety of disease conditions. Analytes of interest include glucose for diabetes
management, cholesterol, and the like. In response to this growing importance of analyte
detection, a variety of analyte detection protocols and devices for both clinical
and home use have been developed.
[0002] One type of method that is employed for analyte detection is an electrochemical method.
In such methods, an aqueous liquid sample is placed into a sample-receiving chamber
in an electrochemical cell that includes two electrodes, e.g., a counter and working
electrode. The analyte is allowed to react with a redox reagent to form an oxidizable
(or reducible) substance in an amount corresponding to the analyte concentration.
The quantity of the oxidizable (or reducible) substance present is then estimated
electrochemically and related to the amount of analyte present in the initial sample.
EP2098857 describes methods of determining a corrected analyte concentration in view of some
error source. In one example, the method can be configured to determine a corrected
glucose concentration in view of an extreme level of hematocrit within a sample.
[0003] Such systems are susceptible to various modes of inefficiency or error. For example,
hematocrits and interferents may affect the results of the method.
SUMMARY OF THE DISCLOSURE
[0004] Applicant has discovered a heretofore unknown and novel technique to allow for greater
precision and accuracy in analyte measurements despite varying levels of substances
that are present in the sample that may affect the accuracy of the analyte measurement.
In one aspect, a method of determining blood glucose concentration with a glucose
measurement system in accordance with independent claim 1 is provided. The system
includes a test strip and test meter. The test meter has a microcontroller configured
to apply a plurality of test voltages to the test strip and measure a current transient
output resulting from an electrochemical reaction in a test chamber of the test strip.
The method can be achieved by: initiating a test sequence after deposition of a sample;
transforming glucose in the sample from one form to a different form; switching the
first voltage to a second voltage different than the first voltage; changing the second
voltage to a third voltage different from the second voltage; measuring a first current
output of the current transient from the electrodes at least at any point during or
after the switching from the first voltage to the second voltage; measuring a second
current output of the current transient at least at any point during or after the
third voltage is maintained in the test chamber; and calculating a blood glucose concentration
based on a logarithm of a ratio of the first and second current outputs.
[0005] In yet another aspect, an analyte measurement system is provided that includes a
biosensor and an analyte meter in accordance with independent system claim 6 is provided.
The biosensor has at least two electrodes with reagent disposed proximate the electrodes.
The analyte meter includes a port for insertion of the biosensor for electrical connection
with a microcontroller of the meter and the at least two electrodes such that, upon
deposition of an fluid sample, a test sequence is initiated by the microcontroller
to measure first and second current outputs from voltages applied to the electrodes
of the biosensor and determine an analyte concentration based on logarithm of the
ratio of the first and second currents.
[0006] The following features can be combined individually with each of the above aspects
or these features can be combined together with each of the above aspects for variations
that are within the scope of this invention. For example, the first current output
is measured at about 2.25 seconds after the start of a test sequence and the second
current output is measured at about 4.4 seconds after the start of the test sequence
and k may include about 2.5; the first current output may include a summation of current
outputs measured from about 1seconds after the start of the test sequence to about
4 seconds after the start of the test sequence and the second current output may include
a summation of current outputs measured from about 4seconds after the start of the
test sequence to about 5 seconds after the start of the test sequence.
[0007] The calculation of the blood glucose concentration is performed in accordance with
the present invention by utilizing an equation of the form:
where G is representative of glucose concentration
IT comprises an intercept resulting from linear regression analysis of a batch of test
strips;
SL comprises a slope resulting from linear regression analysis of a batch of test strips;
I1 comprises a first current output measured from the current transient at any time
point from about 1 seconds to about 4 seconds from a start of the test sequence;
I2 comprises a second current output measured from the current transient at any time
point from about 4 seconds to about 5 seconds from the start of the test sequence;
and k comprises a coefficient from about 1 to about 2.
[0008] In the aforementioned aspects of the disclosure, the steps recited in the methods,
such as, for example, determining, estimating, calculating, computing, deriving and/or
utilizing (possibly in conjunction with an equation) may be performed be an electronic
circuit or a processor. These steps may also be implemented as executable instructions
stored on a computer readable medium; the instructions, when executed by a computer
may perform the steps of any one of the aforementioned methods.
[0009] There may be computer readable media, each medium comprising executable instructions,
which, when executed by a computer, may perform the steps described previously.
[0010] An analyte measurement system comprising a test-strip and an analyte meter in accordance
with the present invention comprises a microcontroller configured to perform the steps
described in relation to the method in accordance with the present invention.
[0011] These and other embodiments, features and advantages will become apparent to those
skilled in the art when taken with reference to the following more detailed description
of various exemplary embodiments of the invention in conjunction with the accompanying
drawings that are first briefly described.
BRIEF DESCRIPTION OF THE DRAWINGS
[0012] The accompanying drawings, which are incorporated herein and constitute part of this
specification, illustrate presently preferred embodiments of the invention, and, together
with the general description given above and the detailed description given below,
serve to explain features of the invention (wherein like numerals represent like elements).
Figure 1A illustrates a preferred blood glucose measurement system.
Figure 1B illustrates the various components disposed in the meter of Figure 1A.
Figure 1C illustrates a perspective view of an assembled test strip suitable for use
in the system and methods disclosed herein,
Figure ID illustrates an exploded perspective view of an unassembled test strip suitable
for use in the system and methods disclosed herein;
Figure 1E illustrates an expanded perspective view of a proximal portion of the test
strip suitable for use in the system and methods disclosed herein;
Figure 2 is a bottom plan view of one embodiment of a test strip disclosed herein;
Figure 3 is a side plan view of the test strip of Figure 2;
Figure 4A is a top plan view of the test strip of Figure 3;
Figure 4B is a partial side view of a proximal portion of the test strip of Figure
4A;
Figure 5 is a simplified schematic showing a test meter electrically interfacing with
portions of a test strip disclosed herein;
Figure 6A shows an example of a tri-pulse potential waveform applied by the test meter
of Figure 5 to the working and counter electrodes for prescribed time intervals;
Figure 6B shows a current transient CT generated by a physiological sample due to
application of the voltages applied in Figure 6A;
Figure 7A illustrates the accuracy of the new and simpler technique for approximately
two thousand test samples as compared to actual values of the samples;
Figure 7B illustrates the accuracy of the known but computationally complex technique
for approximately two thousand test samples as compared to actual values of the samples,
and
Figure 8 illustrates the accuracy of an alternative technique for approximately two-thousand
samples that compares well with the known technique in Figure 7B.
MODES FOR CARRYING OUT THE INVENTION
[0013] The following detailed description should be read with reference to the drawings,
in which like elements in different drawings are identically numbered. The drawings,
which are not necessarily to scale, depict selected embodiments and are not intended
to limit the scope of the invention. The detailed description illustrates by way of
example, not by way of limitation, the principles of the invention. This description
will clearly enable one skilled in the art to make and use the invention, and describes
several embodiments, adaptations, variations, alternatives and uses of the invention,
including what is presently believed to be the best mode of carrying out the invention.
[0014] As used herein, the terms "about" or "approximately" for any numerical values or
ranges indicate a suitable dimensional tolerance that allows the part or collection
of components to function for its intended purpose as described herein. More specifically,
"about" or "approximately" may refer to the range of values ±10% of the recited value,
e.g. "about 90%" may refer to the range of values from 81% to 99%. In addition, as
used herein, the terms "patient," "host," "user," and "subject" refer to any human
or animal subject and are not intended to limit the systems or methods to human use,
although use of the subject invention in a human patient represents a preferred embodiment.
As used herein, "oscillating signal" includes voltage signal(s) or current signal(s)
that, respectively, change polarity or alternate direction of current or are multidirectional.
Also used herein, the phrase "electrical signal" or "signal" is intended to include
direct current signal, alternating signal or any signal within the electromagnetic
spectrum. The terms "processor"; "microprocessor", or "microcontroller" are intended
to have the same meaning and are intended to be used interchangeably. As used herein,
the term "annunciated" and variations on its root term indicate that an announcement
may be provided via text, audio, visual or a combination of all modes or mediums of
communication to a user.
[0015] Figure 1A illustrates a diabetes management system that includes a meter 10 and a
biosensor in the form of a glucose test strip 62. Note that the meter (meter unit)
may be referred to as an analyte measurement and management unit, a glucose meter,
a meter, and an analyte measurement device. In an embodiment, the meter unit may be
combined with an insulin delivery device, an additional analyte testing device, and
a drug delivery device. The meter unit may be connected to a remote computer or remote
server via a cable or a suitable wireless technology such as, for example, GSM, CDMA,
BlueTooth, WiFi and the like.
[0016] Referring back to Figure 1A, glucose meter or meter unit 10 may include a housing
11, user interface buttons (16, 18, and 20), a display 14, and a strip port opening
22. User interface buttons (16, 18, and 20) may be configured to allow the entry of
data, navigation of menus, and execution of commands. User interface button 18 may
be in the form of a two way toggle switch. Data may include values representative
of analyte concentration, or information, which are related to the everyday lifestyle
of an individual. Information, which is related to the everyday lifestyle, may include
food intake, medication use, occurrence of health check-ups, and general health condition
and exercise levels of an individual. The electronic components of meter 10 may be
disposed on a circuit board 34 that is within housing 11.
[0017] Figure 1B illustrates (in simplified schematic form) the electronic components disposed
on a top surface of circuit board 34. On the top surface, the electronic components
include a strip port connector 22, an operational amplifier circuit 35, a microcontroller
38, a display connector 14a, a non-volatile memory 40, a clock 42, and a first wireless
module 46. On the bottom surface, the electronic components may include a battery
connector (not shown) and a data port 13. Microcontroller 38 may be electrically connected
to strip port connector 22, operational amplifier circuit 35, first wireless module
46, display 14, non-volatile memory 40, clock 42, battery, data port 13, and user
interface buttons (16, 18, and 20).
[0018] Operational amplifier circuit 35 may include two or more operational amplifiers configured
to provide a portion of the potentiostat function and the current measurement function.
The potentiostat function may refer to the application of a test voltage between at
least two electrodes of a test strip. The current function may refer to the measurement
of a test current resulting from the applied test voltage. The current measurement
may be performed with a current-to-voltage converter. Microcontroller 38 may be in
the form of a mixed signal microprocessor (MSP) such as, for example, the Texas Instrument
MSP 430. The TI-MSP 430 may be configured to also perform a portion of the potentiostat
function and the current measurement function. In addition, the MSP 430 may also include
volatile and non-volatile memory. In another embodiment, many of the electronic components
may be integrated with the microcontroller in the form of an application specific
integrated circuit (ASIC).
[0019] Strip port connector 22 may be configured to form an electrical connection to the
test strip. Display connector 14a may be configured to attach to display 14. Display
14 may be in the form of a liquid crystal display for reporting measured glucose levels,
and for facilitating entry of lifestyle related information. Display 14 may optionally
include a backlight. Data port 13 may accept a suitable connector attached to a connecting
lead, thereby allowing glucose meter 10 to be linked to an external device such as
a personal computer. Data port 13 may be any port that allows for transmission of
data such as, for example, a serial, USB, or a parallel port. Clock 42 may be configured
to keep current time related to the geographic region in which the user is located
and also for measuring time. The meter unit may be configured to be electrically connected
to a power supply such as, for example, a battery.
[0020] FIGS. 1C-1E, 2, 3, and 4B show various views of an exemplary test strip 62 suitable
for use with the methods and systems described herein. In an exemplary embodiment,
a test strip 62 is provided which includes an elongate body extending from a distal
end 80 to a proximal end 82, and having lateral edges 56, 58, as illustrated in FIG.
1C. As shown in FIG. 1D, the test strip 62 also includes a first electrode layer 66,
a second electrode layer 64, and a spacer 60 sandwiched in between the two electrode
layers 64 and 66. The first electrode layer 66 may include a first electrode 66, a
first connection track 76, and a first contact pad 67, where the first connection
track 76 electrically connects the first electrode 66 to the first contact pad 67,
as shown in FIGS. ID and 4B. Note that the first electrode 66 is a portion of the
first electrode layer 66 that is immediately underneath the reagent layer 72, as indicated
by FIGS. 1D and 4B. Similarly, the second electrode layer 64 may include a second
electrode 64, a second connection track 78, and a second contact pad 63, where the
second connection track 78 electrically connects the second electrode 64 with the
second contact pad 63, as shown in FIGS. 1D, 2, and 4B. Note that the second electrode
64 is a portion of the second electrode layer 64 that is above the reagent layer 72,
as indicated by FIG. 4B.
[0021] As shown, the sample-receiving chamber 61 is defined by the first electrode 66, the
second electrode 64, and the spacer 60 near the distal end 80 of the test strip 62,
as shown in FIGS. ID and 4B. The first electrode 66 and the second electrode 64 may
define the bottom and the top of sample-receiving chamber 61, respectively, as illustrated
in FIG. 4B. A cutout area 68 of the spacer 60 may define the sidewalls of the sample-receiving
chamber 61, as illustrated in FIG. 4B. In one aspect, the sample-receiving chamber
61 may include ports 70 that provide a sample inlet or a vent, as shown in FIGS. 1C
to IE. For example, one of the ports may allow a fluid sample to ingress and the other
port may allow air to egress.
[0022] In an exemplary embodiment, the sample-receiving chamber 61 (or test cell or test
chamber) may have a small volume. For example, the chamber 61 may have a volume in
the range of from about 0.1 microliters to about 5 microliters, about 0.2 microliters
to about 3 microliters, or, preferably, about 0.3 microliters to about 1 microliter.
To provide the small sample volume, the cutout 68 may have an area ranging from about
0.01 cm
2 to about 0.2 cm
2, about 0.02 cm
2 to about 0.15 cm
2, or, preferably, about 0.03 cm
2 to about 0.08 cm
2. In addition, first electrode 66 and second electrode 64 may be spaced apart in the
range of about 1 micron to about 500 microns, preferably between about 10 microns
and about 400 microns, and more preferably between about 40 microns and about 200
microns. The relatively close spacing of the electrodes may also allow redox cycling
to occur, where oxidized mediator generated at first electrode 66, may diffuse to
second electrode 64 to become reduced, and subsequently diffuse back to first electrode
66 to become oxidized again. Those skilled in the art will appreciate that various
such volumes, areas, or spacing of electrodes is within the spirit and scope of the
present disclosure.
[0023] In one embodiment, the first electrode layer 66 and the second electrode layer 64
may be a conductive material formed from materials such as gold, palladium, carbon,
silver, platinum, tin oxide, iridium, indium, or combinations thereof (e.g., indium
doped tin oxide). In addition, the electrodes may be formed by disposing a conductive
material onto an insulating sheet (not shown) by a sputtering, electroless plating,
or a screen-printing process. In one exemplary embodiment, the first electrode layer
66 and the second electrode layer 64 may be made from sputtered palladium and sputtered
gold, respectively. Suitable materials that may be employed as spacer 60 include a
variety of insulating materials, such as, for example, plastics (e.g., PET, PETG,
polyimide, polycarbonate, polystyrene), silicon, ceramic, glass, adhesives, and combinations
thereof. In one embodiment, the spacer 60 may be in the form of a double sided adhesive
coated on opposing sides of a polyester sheet where the adhesive may be pressure sensitive
or heat activated. Applicants note that various other materials for the first electrode
layer 66, the second electrode layer 64, or the spacer 60 are within the spirit and
scope of the present disclosure.
[0024] Either the first electrode 66 or the second electrode 64 may perform the function
of a working electrode depending on the magnitude or polarity of the applied test
voltage. The working electrode may measure a limiting test current that is proportional
to the reduced mediator concentration. For example, if the current limiting species
is a reduced mediator (e.g., ferrocyanide), then it may be oxidized at the first electrode
66 as long as the test voltage is sufficiently greater than the redox mediator potential
with respect to the second electrode 64. In such a situation, the first electrode
66 performs the function of the working electrode and the second electrode 64 performs
the function of a counter/reference electrode. Applicants note that one may refer
to a counter/reference electrode simply as a reference electrode or a counter electrode.
A limiting oxidation occurs when all reduced mediator has been depleted at the working
electrode surface such that the measured oxidation current is proportional to the
flux of reduced mediator diffusing from the bulk solution towards the working electrode
surface. The term "bulk solution" refers to a portion of the solution sufficiently
far away from the working electrode where the reduced mediator is not located within
a depletion zone. It should be noted that unless otherwise stated for test strip 62,
all potentials applied by test meter 10 will hereinafter be stated with respect to
second electrode 64.
[0025] Similarly, if the test voltage is sufficiently less than the redox mediator potential,
then the reduced mediator may be oxidized at the second electrode 64 as a limiting
current. In such a situation, the second electrode 64 performs the function of the
working electrode and the first electrode 66 performs the function of the counter/reference
electrode.
[0026] Initially, an analysis may include introducing a quantity of a fluid sample into
a sample-receiving chamber 61 via a port 70. In one aspect, the port 70 or the sample-receiving
chamber 61 may be configured such that capillary action causes the fluid sample to
fill the sample-receiving chamber 61. The first electrode 66 or second electrode 64
may be coated with a hydrophilic reagent to promote the capillarity of the sample-receiving
chamber 61. For example, thiol derivatized reagents having a hydrophilic moiety such
as 2-mercaptoethane sulfonic acid may be coated onto the first electrode or the second
electrode.
[0027] In the analysis of strip 62 above, reagent layer 72 can include glucose dehydrogenase
(GDH) based on the PQQ co-factor and ferricyanide. In another embodiment, the enzyme
GDH based on the PQQ co-factor may be replaced with the enzyme GDH based on the FAD
co-factor. When blood or control solution is dosed into a sample reaction chamber
61, glucose is oxidized by GDH
(ox) and in the process converts GDH
(ox) to GDH
(red), as shown in the chemical transformation T.1 below. Note that GDH
(ox) refers to the oxidized state of GDH, and GDH
(red) refers to the reduced state of GDH.
T.1 D-Glucose + GDH
(ox) → Gluconic acid + GDH
(red)
[0028] Next, GDH
(red) is regenerated back to its active oxidized state by ferricyanide (i.e. oxidized mediator
or Fe(CN)
63-) as shown in chemical transformation T.2 below. In the process of regenerating GDH
(ox), ferrocyanide (i.e. reduced mediator or Fe(CN)
64-) is generated from the reaction as shown in T.2:
T.2 GDH
(red) + 2 Fe(CN)
63- → GDH
(ox) + 2 Fe(CN)
64-
[0029] FIG. 5 provides a simplified schematic showing a test meter 100 interfacing with
a first contact pad 67a, 67b and a second contact pad 63. The second contact pad 63
may be used to establish an electrical connection to the test meter through a U-shaped
notch 65, as illustrated in FIG. 2. In one embodiment, the test meter 100 may include
a second electrode connector 101, and a first electrode connectors (102a, 102b), a
test voltage unit 106, a current measurement unit 107, a processor 212, a memory unit
210, and a visual display 202, as shown in FIG. 5. The first contact pad 67 may include
two prongs denoted as 67a and 67b. In one exemplary embodiment, the first electrode
connectors 1 02a and 102b separately connect to prongs 67a and 67b, respectively.
The second electrode connector 101 may connect to second contact pad 63. The test
meter 1 00 may measure the resistance or electrical continuity between the prongs
67a and 67b to determine whether the test strip 62 is electrically connected to the
test meter 10. The electrodes 64 and 66 here can be utilized to detect physical characteristics
of the sample using alternating signals. Alternatively, separate additional electrodes
can be provided in the test chamber to allow for detection of the physical characteristics
of the sample using alternating signals.
[0030] Figure 6A is an exemplary chart of a plurality of test voltages applied to the test
strip 62 for prescribed intervals. The plurality of test voltages may include a first
test voltage E1 for a first time interval
t1, a second test voltage E2 for a second time interval
t2, and a third test voltage E3 for a third time interval
t3. The third voltage E3 may be different in the magnitude of the electromotive force,
in polarity, or combinations of both with respect to the second test voltage E2. In
the preferred embodiments, E3 may be of the same magnitude as E2 but opposite in polarity.
A glucose test time interval
tG represents an amount of time to perform the glucose test (but not necessarily all
the calculations associated with the glucose test). Glucose test time interval
tG may range from about 1.1 seconds to about 5 seconds. Further, as illustrated in FIG.
6A, the second test voltage E2 may include a direct (DC) test voltage component and
a superimposed alternating (AC), or alternatively oscillating, test voltage component.
The superimposed alternating or oscillating test voltage component may be applied
for a time interval indicated by
tcap.
[0031] The plurality of test current values measured during any of the time intervals may
be performed at a sampling frequency ranging from about 1 measurement per microsecond
to about one measurement per 100 milliseconds and preferably at about every 50 milliseconds.
While an embodiment using three test voltages in a serial manner is described, the
glucose test may include different numbers of open-circuit and test voltages. For
example, as an alternative embodiment, the glucose test could include an open-circuit
for a first time interval, a second test voltage for a second time interval, and a
third test voltage for a third time interval. It should be noted that the reference
to "first," "second," and "third" are chosen for convenience and do not necessarily
reflect the order in which the test voltages are applied. For instance, an embodiment
may have a potential waveform where the third test voltage may be applied before the
application of the first and second test voltage.
[0032] In this exemplary system, the process for the system may apply a first test voltage
E1 (e.g., approximately 20 mV in FIG. 6A) between first electrode 66 and second electrode
64 for a first time interval
t1 (e.g., 1 second in FIG. 6A). The first time interval
t1 may range from about 0.1 seconds to about 3 seconds and preferably range from about
0.2 seconds to about 2 seconds, and most preferably range from about 0.3 seconds to
about 1.1 seconds.
[0033] The first time interval
t1 may be sufficiently long so that the sample-receiving or test chamber 61 (defined
partly by first wall 164 and second wall 166) may fully fill with sample and also
so that the reagent layer 72 may at least partially dissolve or solvate. In one aspect,
the first test voltage E1 may be a value relatively close to the redox potential of
the mediator so that a relatively small amount of a reduction or oxidation current
is measured. FIG. 6B shows that a relatively small amount of current is observed during
the first time interval
t1 compared to the second and third time intervals
t2 and
t3. For example, when using ferricyanide or ferrocyanide as the mediator, the first test
voltage E1 in Fig. 6A may range from about 1 millivolts ("mV") to about 1 00 mV, preferably
range from about 5 mV to about 50 mV, and most preferably range from about 10 mV to
about 30 mV. Although the applied voltages are given as positive values in the preferred
embodiments, the same voltages in the negative domain could also be utilized to accomplish
the intended purpose of the claimed invention.
[0034] Referring back to Figure 6A, after applying the first test voltage E1, the test meter
10 (via the microcontroller) applies a second test voltage E2 between first electrode
66 and second electrode 64 (e.g., approximately 300mVolts in FIG. 6A), for a second
time interval
t2 (e.g., about 3 seconds in FIG. 6A). The second test voltage E2 may be a value different
than the first test voltage E1 and may be sufficiently negative of the mediator redox
potential so that a limiting oxidation current is measured at the second electrode
64. For example, when using ferricyanide or ferrocyanide as the mediator, the second
test voltage E2 may range from about zero mV to about 600mV, preferably range from
about 100 mV to about 600 mV, and more preferably is about 300 mV.
[0035] The second time interval
t2 should be sufficiently long so that the rate of generation of reduced mediator (e.g.,
ferrocyanide) may be monitored based on the magnitude of a limiting oxidation current.
Reduced mediator is generated by enzymatic reactions with the reagent layer 72. During
the second time interval
t2, a limiting amount of reduced mediator is oxidized at second electrode 64 and a non-limiting
amount of oxidized mediator is reduced at first electrode 66 to form a concentration
gradient between first electrode 66 and second electrode 64.
[0036] In an exemplary embodiment, the second time interval
t2 should also be sufficiently long so that a sufficient amount of ferricyanide may
be diffused to the second electrode 64 or diffused from the reagent on the first electrode.
A sufficient amount of ferricyanide is required at the second electrode 64 so that
a limiting current may be measured for oxidizing ferrocyanide at the first electrode
66 during the third test voltage E3. The second time interval
t2 may be less than about 60 seconds, and preferably may range from about 1.1 seconds
to about 10 seconds, and more preferably range from about 2 seconds to about 5 seconds.
Likewise, the time interval indicated as
tcap in FIG. 6A may also last over a range of times, but in one exemplary embodiment it
has a duration of about 20 milliseconds. In one exemplary embodiment, the superimposed
alternating test voltage component is applied after about 0.3 seconds to about 0.4
seconds after the application of the second test voltage E2, and induces a sine wave
having a frequency of about 109 Hz with an amplitude of about +/-50 mV.
[0037] FIG. 6B shows a relatively small peak
ipb after the beginning of the second time interval
t2 followed by a gradual increase of an absolute value of an oxidation current during
the second time interval
t2. The small peak
ipb occurs due oxidation of endogenous or exogenous reducing agents (e.g., uric acid)
after a transition from first voltage E1 to second voltage E2. Thereafter, there is
a gradual absolute decrease in oxidation current after the small peak
ipb is caused by the generation of ferrocyanide by reagent layer 72, which then diffuses
to second electrode 64.
[0038] After application of the second test voltage E2, the test meter 10 applies a third
test voltage E3 between the first electrode 66 and the second electrode 64 (e.g.,
about -300mVolts in FIG. 6A) for a third time interval
t3 (e.g., 1 second in FIG. 6A). The third test voltage E3 may be a value sufficiently
positive of the mediator redox potential so that a limiting oxidation current is measured
at the first electrode 66. For example, when using ferricyanide or ferrocyanide as
the mediator, the third test voltage E3 may range from about zero mV to about -600
mV, preferably range from about -100 mV to about -600 mV, and more preferably is about
-300 mV.
[0039] The third time interval
t3 may be sufficiently long to monitor the diffusion of reduced mediator (e.g., ferrocyanide)
near the first electrode 66 based on the magnitude of the oxidation current. During
the third time interval
t3, a limiting amount of reduced mediator is oxidized at first electrode 66 and a non-limiting
amount of oxidized mediator is reduced at the second electrode 64. The third time
interval
t3 may range from about 0.1 seconds to about 5 seconds and preferably range from about
0.3 seconds to about 3 seconds, and more preferably range from about 0.5 seconds to
about 2 seconds.
[0040] FIG. 6B shows a relatively large peak
ipc at the beginning of the third time interval
t3 followed by a decrease to a steady-state current
iss value. In one embodiment, the second test voltage E2 may have a first polarity and
the third test voltage E3 may have a second polarity that is opposite to the first
polarity. In another embodiment, the second test voltage E2 may be sufficiently negative
of the mediator redox potential and the third test voltage E3 may be sufficiently
positive of the mediator redox potential. The third test voltage E3 may be applied
immediately after the second test voltage E2. However, one skilled in the art will
appreciate that the magnitude and polarity of the second and third test voltages may
be chosen depending on the manner in which analyte concentration is determined.
[0041] Referring to Figure 6B, the system also measure a second current output of the current
transient from the electrodes after the changing from the second voltage to the third
voltage and then the system proceeds by estimating a current that approximates a steady
state current output of the current transient after the third voltage is maintained
at the electrodes.
[0042] Thereafter, the system calculates a blood glucose concentration based on the first,
second and third current outputs of the current transient and the analyte calculation
coefficients. In particular, the glucose concentration
G may be calculated using a glucose algorithm as shown in Equation 1:

Where
i1 is a first test current value,
i2 is a second test current value,
i3 is a third test current value, and
the terms
a, p, and
z can be empirically derived analyte calculation coefficients.
[0043] All test current values (e.g.,
i1, i2, and
i3) in Equation 1 use the absolute value of the current. The first test current value
i1 and the second test current value
i2 can each be defined by an average or summation of one or more predetermined test
current values that occur during the third time interval
t3. The term
i2 is a second current value that is based on a fourth current value
i4, a fifth current value
i5, and a sixth current value
i6 measured during a third time interval. The third test current value
i3 can be defined by an average or summation of one or more predetermined test current
values that occur during the second time interval
t2. One skilled in the art will appreciate that names "first," "second," and "third"
are chosen for convenience and do not necessarily reflect the order in which the current
values are calculated. A derivation of Eq. 1 can be found in
US Patent No. 7,749,371, patented July 6, 2010, which was filed on 30 September, 2005 and entitled "Method
and Apparatus for Rapid Electrochemical Analysis,"
[0044] Referring now to Figures 6A and 6B, the peak current (Fig. 6B) observed at the end
of
t1 and the beginning of the second test potential time interval
t2 (Fig. 6A) may be denoted as
ipb, and the peak current exhibited at the start of the third test potential time interval
t3 (Fig. 6A) may be denoted as
ipc. Equation 2 describes a relationship between the first current transient CT and second
current transient CT when a test strip 62 is tested with a sample containing an interferent
and no glucose.

[0045] In the case where there is no glucose in the sample, it is believed that the reagent
layer 72 does not generate substantial amount of reduced mediator. Therefore, the
current transients would reflect only the oxidation of interferents. At the early
time scale regime of around 1.0 seconds, it is assumed that reagent layer 72 does
not generate a significant amount of reduced mediator because of the glucose reaction.
Further, it is assumed that the reduced mediator which is generated will mostly remain
near first electrode 66, where reagent layer 72 was initially deposited, and not significantly
diffuse to second electrode 64. Therefore, the magnitude of
ipb is predominantly ascribed to interferent oxidation at second electrode 64 which is
a direct interferent current.
[0046] At a duration after the third voltage E3 has been provided to the strip (e.g., about
-300mV) at around 4.1 seconds, reagent layer 72 does generate a significant amount
of reduced mediator at first electrode 66 in the presence of glucose because of the
glucose reaction. A significant amount of reduced mediator can also be generated because
of a possible oxidation of an interferent with the oxidized mediator. As mentioned
earlier, interferent that reduces oxidized mediator contributes to a current which
may be referred to as an indirect current. In addition, interferents can also be oxidized
directly at first electrode 66 which may be referred to as a direct current. For the
situation in which the mediator can be oxidized at the working electrode, it may be
assumed that the sum of the direct oxidation and indirect oxidation is approximately
equal to a direct oxidation current that would have been measured if there was no
oxidized mediator disposed on the working electrode. In summary, the magnitude of
the
ipc is ascribed to both indirect and direct interferent oxidation, and the glucose reaction
at the first electrode 66. Because it has been determined that
ipb is controlled mainly by interferents,
ipc can be used with
ipb together to determine a correction factor. For example, as shown below
ipb can be used with
ipc in a mathematical function to determine a corrected current
i2(Corr) which is proportional to glucose and less sensitive to interferents:

[0047] It is noted that
ipb is measured after the start of the second test potential time interval
t2 and
ipc is measured at the start of the third test potential time interval
t3. Applicants note that
ipc may be the test current value at about 4.1 seconds, and
ipb may be the test current value at about 1.1 second, based on the test voltage and
test current waveforms in FIGS. 6A and 6B.
[0048] Eq. 3 was empirically derived to calculate a current
i2(Corr) which is proportional to glucose and has a relative fraction of current removed that
is ascribed to interferents. The term
iss was added to both the numerator and denominator to allow the numerator to approach
zero when no glucose is present. Determination of the steady-state current i
ss following application of the second electric potential is detailed in
US Patent No. 8,163,162, Other examples of methods for calculating
iss can be found in
U.S. Patent Nos. 5,942,102 and
6,413,410,
[0049] Next,
iss is estimated by multiplying the test current value at about 5 seconds with a constant
K8 (e.g., 0.678). Thus,
iss can be approximated as
i (5) x
K8. The term
K8 can be estimated using Equation 4 where the number 0.975 is about the time in seconds
after the third test voltage E3 is applied that corresponds to the current at approximately
5 seconds for the particular embodiment of the strip 62, which, assuming a linear
variation over the time between about 0.95 seconds and 1 second, is the average current
between 0.95 and 1 second, the term D is assumed to be about 5 x 10
-6 cm
2/sec as a typical diffusion coefficient in blood, and the term L is assumed to be
about 0.0095 cm, which represents the height of the spacer 60:

[0050] Hence, a first blood glucose concentration G can be determined by Equation 5 that
utilizes current
i2(Corr), (which is proportional to glucose and has a relative fraction of current removed
that is ascribed to interferents):

where:

and
[0051] Where
a, b, c, p, and
zgr are glucose calculation coefficients.
[0052] Although the applied voltages are given as positive values in the preferred embodiments,
the same voltages in the negative domain could also be utilized to accomplish the
intended purpose of the claimed invention.
[0053] In this exemplary embodiment,
ipb is the current measured at approximately 1.1 second;
ipc is current measured from the electrodes of the strip 62 at approximately 4.1 seconds;
i
ss is the current measured at approximately 5 seconds. For ease of notation, Eq. 5.1
for this known glucose concentration calculation, can be represented in the following
notation as Equation 5.2:

[0054] It is noted that while the results from Equations 5 and 5.2 are satisfactory, eight
equations must be utilized with 6 thresholds using 11 coefficients and 68 current
measurements. This adds computational burden to the microcontroller while increasing
complexity and a greater likelihood of mistakes being made in the firmware of the
microcontroller.
[0055] A technique has therefore been discovered that allows the acquisition of glucose
result substantially just as accurate as the known technique but much simpler by being
based on a logarithm of a ratio of two measured currents. Unexpectedly, it was discovered
that this logarithm of the current ratio is strongly and linearly related to the glucose
concentration of the physiological fluid sample and weakly related to the hematocrits
of the fluid sample. That is, the new but simpler technique is just as accurate as
the known (but complex) technique yet the new technique is generally insensitive to
the interfering effects of hematocrits.
[0056] This new technique involves the use of two current measurements: (1) a first current
I1, at a first polarity, obtained at least at any point in the current transient CT
over the time range defined by 602 in the current output transient CT during and after
the switch in the first voltage E1 to the second voltage E2 (e.g., typically from
about 1 seconds to about 4 seconds from the start of the test sequence in Fig. 6B);
and (2) a second currenth
I2, at preferably an opposite polarity to the first current, obtained at least at any
point in current transient CT over the entire time range defined by 604 in the current
output transient CT after the third voltage E3 is maintained (e.g., typically from
about 4 seconds to about 5.5 seconds from the start of the test sequence). An absolute
value of a ratio of the first current
I1 to the second current
I2 is represented by "r". Then the logarithm of such ratio (multiplied with the second
current) is represented by a quantity X (with magnitudes in microamperes). Quantity
X is strongly and linearly related to the glucose concentration of the physiological
fluid sample and weakly related or basically insensitive to the hematocrits of the
fluid sample. Glucose concentration or "G" can therefore be determined based on the
"intercept" or
IT resulting from linear regression analysis of the current transient of a batch of
biosensors and "slope" of
SL of the current transient from the same batch of biosensors.
[0057] In accordance with the present invention, a glucose result is determined from the
following series of measurements and calculations in Equations 6.1-6.3:
Where: G is representative of glucose concentration
IT represents the intercept resulting from linear regression analysis of a batch of
biosensors;
SL represents the slope resulting from linear regression analysis of a batch of biosensors;
I1 represents a first current at a first polarity measured from the current transient
at any time point from about 1 seconds to about 4 seconds from a start of the test
sequence;
I2 represents a second current at a second polarity measured from the current transient
at any time point from about 4 seconds to about 6 seconds from the start of the test
sequence;
X represents a current magnitude proportional to the glucose concentration; and
k represents a coefficient from about 1 to about 2.
[0058] Equations 6.1-6.3 can be combined together to provide for Equation 6.4:

[0059] From Equation 6.1, it is clear that the glucose concentration G is generally the
logarithm of the ratio of the first current to the second current and that the other
terms
IT; SL and k are specific to the manufacturing parameters of a particular batch of strips.
[0060] Instead of a current measured at a specific time point for
I1 or
I2, a summation of currents measured during a predetermined interval for each of the
first current and second current in which the time interval is referenced with respect
to the start time of the test sequence. In one example, the first current can be a
summation of measured current outputs at about 1.4 seconds from the start time to
about 4 seconds from the start time, and the second current can be a summation of
the measured current outputs at about 4.2 seconds from the start time to about 5 seconds
from the start time. The current outputs can be sampled for summation at a suitable
interval such as for example, every 5 milliseconds to 50 milliseconds. The first and
second current outputs can be in the respective forms:

[0061] In summary, it can be seen that an analyte concentration can be determined with three
equations, two current measurements and one coefficient in contrast to the known technique,
which utilizes eight equations with 6 thresholds using 11 coefficients and 68 current
measurements. Moreover, this technique is simpler and allows for faster computation
of the analyte concentration, verification testing demonstrated that the new technique
(Fig. 7B) is comparable to the known technique (Fig. 7A) within the ISO requirement
of ±15 mg/dL or 15% of referential analyte datum, whichever is larger. Not only is
the new technique simpler, it is generally unaffected by the interfering effects of
hematocrit across the range of 20% to 60% hematocrits.
[0062] As shown in Figure 7A for the new technique, approximately 2160 test strips were
measured with glucose concentrations ranging from about 61 mg/dL to about 585 mg/dL
(hematocrits from 19%-61%) for three different batches of strips. With the first current
output
I1 measured at about 2.25 seconds from the start of test sequence, the second current
output
I2 measured at about 4.4 seconds from the start of the test sequence and coefficient
k of about 2.5, results from Figure 7A show that about 99.0% of the glucose concentrations
are within the ISO requirements for calculations based on the new technique (i.e.,
"calculated glucose results" on the y-axis of Fig. 7A) with respect to laboratory
grade measurement (i.e., "actual glucose results" on the x-axis of Fig. 7A). The new
technique resulted in about 99.0% of the test samples being within the ISO requirements,
compares very well with the more complex and computationally intensive but known technique,
which resulted in about 99.8% of the test samples being within the ISO requirements,
shown here in Figure 7B.
[0063] One skilled in the art would understand that selection of different time points for
the first and second current will provide different results such that some results
may be more accurate or less accurate than the original technique of Figure 7B. For
example, in an alternate embodiment, where the first current output
I1 is measured at about 4 seconds and the second current output
I2 is measured at about 5 seconds with coefficient
k being set to about 1.2, the results in Figure 8 indicate that about 95.2% of the
measured samples were within the ISO requirements as compared to the results in Figure
7A (99%) or in Figure 7B (99.8%).
[0064] While the alternate embodiment may not have as high a percentage of the glucose concentrations
being within ISO requirements, it is believed that this value is still viable in its
intended use as analyte test strips.
[0065] While the invention has been described in terms of particular variations and illustrative
figures, those of ordinary skill in the art will recognize that the invention is not
limited to the variations or figures described. In addition, where methods and steps
described above indicate certain events occurring in certain order, those of ordinary
skill in the art will recognize that the ordering of certain steps may be modified
and that such modifications are in accordance with the variations of the invention.
Additionally, certain of the steps may be performed concurrently in a parallel process
when possible, as well as performed sequentially as described above.