Normalized Calibration Of Analyte Concentration Determinations
20180209932 ยท 2018-07-26
Inventors
Cpc classification
G16B5/00
PHYSICS
International classification
G01N27/327
PHYSICS
G01N33/72
PHYSICS
Abstract
Biosensor system measurement devices used to determine the presence and/or concentration of an analyte in a sample include normalized calibration information relating output signal or signals the device generates in response to the analyte concentration of the sample to previously determined reference sample analyte concentrations. The measurement devices use this normalized calibration information to relate one or more output signals from an electrochemical or optical analysis of a sample to the presence and/or concentration of one or more analytes in the sample. The normalized calibration information includes a normalization relationship to normalize output signals measured by the measurement device of the biosensor system and at least one normalized reference correlation relating normalized output signals to reference sample analyte concentrations.
Claims
1-77. (canceled)
78. A method for calibrating a measurement device of a biosensor system, the method comprising: measuring at least two analyte responsive output signals, the analyte responsive output signals being affected by a primary stimulus in the form of a reference sample analyte concentration from a reference sample, and an extraneous stimulus resulting from one or more of a physical characteristic, an environmental aspect, or a manufacturing variation error incorporated into the analyte responsive output signals; determining, via a measurement device, a reference correlation by relating the primary stimulus to the two analyte responsive output signals; measuring, from the reference sample, an extraneous stimulus responsive output signal of the extraneous stimulus and quantifying the extraneous stimulus responsive output signal to provide at least two quantified extraneous stimulus values; determining a normalizing relationship from the analyte responsive output signals and the two quantified extraneous stimulus values, the normalizing relationship being determined at a single selected sample analyte concentration of the reference sample analyte concentrations; determining a normalized value from the normalizing relationship by inputting the quantified extraneous stimulus values into the normalizing relationship; dividing the analyte responsive output signals by the normalizing value to provide normalized analyte responsive output signals; and determining a normalized reference correlation between the two normalized analyte responsive output signals and the reference sample analyte concentrations by a regression technique, the normalized reference correlation providing a reduced stimulus effect in which the only variable between the primary stimulus and the extraneous stimulus is the primary stimulus.
79. The method of claim 78, wherein the measuring of the at least two analyte responsive output signals includes measuring at least four analyte responsive output signals.
80. The method of claim 78, wherein the measuring of the at least two analyte responsive output signals includes measuring at least six analyte responsive output signals.
81. The method of claim 78, wherein the measuring of the at least two analyte responsive output signals is concurrent with the measuring of the extraneous stimulus responsive output signal.
82. The method of claim 78, wherein the quantifying of the extraneous stimulus responsive output signal is direct quantifying.
83. The method of claim 78, wherein the quantifying of the extraneous stimulus responsive output signal is indirect quantifying.
84. The method of claim 78, wherein the normalized reference correlation includes a normalized calibration curve.
85. The method of claim 78, further comprising storing the normalizing relationship in the measurement device.
86. The method of claim 78, wherein the sample includes blood.
87. The method of claim 78, wherein the extraneous stimulus includes at least one of temperature, total hemoglobin, or hematocrit.
88. A biosensor system for calibrating a measurement device, the system comprising: a test sensor having a sample interface adjacent to a reservoir formed by a base, the test sensor being configured to generate at least one output signal from a sample; and a measurement device having a processor connected to a sensor interface, the sensor interface being in electrical communication with the sample interface, the processor being in electrical communication with a storage medium and being configured to measure at least two analyte responsive output signals, the analyte responsive output signals being affected by a primary stimulus in the form of a reference sample analyte concentration from a reference sample, and an extraneous stimulus resulting from one or more of a physical characteristic, an environmental aspect, or a manufacturing variation error incorporated into the analyte responsive output signals, determine a reference correlation by relating the primary stimulus to the two analyte responsive output signals, measure, from the reference sample, an extraneous stimulus responsive output signal of the extraneous stimulus and quantifying the extraneous stimulus responsive output signal to provide at least two quantified extraneous stimulus values, determine a normalizing relationship from the analyte responsive output signals and the two quantified extraneous stimulus values, the normalizing relationship being determined at a single selected sample analyte concentration of the reference sample analyte concentrations, determine a normalized value from the normalizing relationship by inputting the quantified extraneous stimulus values into the normalizing relationship, divide the analyte responsive output signals by the normalizing value to provide normalized analyte responsive output signals, and determine a normalized reference correlation between the two normalized analyte responsive output signals and the reference sample analyte concentrations by a regression technique, the normalized reference correlation providing a reduced stimulus effect in which the only variable between the primary stimulus and the extraneous stimulus is the primary stimulus.
89. The system of claim 88, wherein the measuring of the at least two analyte responsive output signals is concurrent with the measuring of the extraneous stimulus responsive output signal.
90. The system of claim 88, wherein the normalized reference correlation includes a normalized calibration curve.
91. The system of claim 88, wherein the normalizing relationship is stored in the storage medium.
92. The system of claim 88, wherein the sample includes blood.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0036] The invention can be better understood with reference to the following drawings and description. The components in the figures are not necessarily to scale, emphasis instead being placed upon illustrating the principles of the invention.
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DETAILED DESCRIPTION
[0069] Measurement devices in biosensor systems that are used to determine the presence and/or concentration of an analyte in a sample include normalized calibration information relating output signal or signals the device generates in response to the analyte concentration of the sample to previously determined reference sample analyte concentrations. The measurement devices use this normalized calibration information to relate one or more output signals from an electrochemical or optical analysis of a sample to the presence and/or concentration of one or more analytes in the sample.
[0070] The present application discloses methods to determine normalized calibration information in a factory, laboratory or similar setting for use in sample analysis of analyte concentration(s), methods to determine the analyte concentration(s) of a sample using normalized calibration information that is stored in a measurement device of a biosensor system for use during sample analysis, and a biosensor system that uses normalized calibration information to determine the presence and/or concentration of the analyte(s) in the sample. The normalized calibration information includes a normalizing relationship used to determine normalized output signals from measured output signals and a normalized reference correlation relating the normalized output signals determined during the analysis to a reference sample analyte concentration. The normalized calibration information is useful in biosensor systems that generate at least one primary output signal responsive to an analyte but include or are affected by error from at least one extraneous stimulus and that generate at least one secondary output signal responsive to the at least one extraneous stimulus
[0071] During sample analysis, the primary stimulus and one or more extraneous stimulus affect the one or more output signals analyzed by the measurement device. The primary stimulus is the analyte concentration of the sample. The extraneous stimulus includes all other stimuli (except the analyte concentration) that affect the output signal such as the physical characteristics of the sample, the environmental aspects of the sample, manufacturing variations between test sensor lots, and the like. The one or more output signals analyzed by the measurement device may include primary output signals and secondary output signals. The primary output signals include a major effect from the primary stimulusthe analyte concentration of the sample but also include some effect from one or more extraneous stimulus. In contrast, the secondary output signals include a major effect from the extraneous stimuli, and may or may not include a major effect from the primary stimulus. Preferably, the secondary output signals are solely responsive to the one or more extraneous stimulus.
[0072] The measurement of %-A1c in blood samples, thus the concentration of glycated hemoglobin (%-A1c or A1c) in the total hemoglobin (THb) content of a blood sample, may be accomplished by an immunoassay method using a laminar flow analysis. Conventionally, in the laminar flow analysis two independent signals are measured, primary output signals for the A1c and secondary output signals for the THb. In this type of A1c system, the Zone 1 detectors provide the primary output signal while the Zone 2 detectors provide the secondary output signal. The primary output signals from the Zone 1 detector/s depends on the A1c concentration of the sample, but also on the THb concentration of the sample. The secondary output signals from the Zone 2 detector/s depend on the THb concentration of the sample, but are substantially independent of the A1c concentration of the sample.
[0073] Conventional calibration in these systems focuses on establishing a relationship between the known %-A1c value of reference samples, the reflectance primary output signals determined from the Zone 1 detector/s of the measurement device responsive to A1c when these samples are analyzed by the biosensor system, and the secondary output reflectance signals determined from the Zone 2 detector/s of the measurement device responsive to the THb content of the sample when these samples are analyzed by the biosensor system. Thus, there are three stimuli for potential consideration in determining the calibration information to store in the measurement device for later use during an analysis (reference sample analyte concentration, primary output signals from the measurement device, and secondary output signals from the measurement device).
[0074] In contrast to such conventional methods, a significant benefit of the presently disclosed calibration methods in an A1c biosensor system arises from the ability to use the laboratory determined calibration information in later compensation techniques when two of the stimuli (reference sample analyte concentration (%-A1c, primary stimulus) and secondary THb output signals (an extraneous stimulus)) are reduced to one (reference sample analyte concentration for %-A1c). One method of accomplishing this reduction of stimuli is through the described normalization methods.
[0075] The normalization method reduces the dependence of the primary output A1c signal from the measurement device on THb sample concentration by generating a normalized output signal from the A1c responsive reflectance values determined by the measurement device. Then a normalized reference correlation is determined between the generated normalized output signals and the reference sample analyte concentrations. The normalization relationship used to determine the normalized output signals and the normalized reference correlation are stored in the measurement device. In use, the primary output signals measured from the Zone 1 detector/s of the measurement device as normalized by the described normalization procedure remain responsive to A1c, but become substantially independent of the secondary output signals measured from the Zone 2 detector/s responsive to the total hemoglobin content of the sample (THb).
[0076] In a glucose analysis system, calibration generally focuses on establishing a relationship between the known reference sample analyte concentrations for glucose, the electrical or optical primary output signals determined from the sample, and the secondary output signals responsive to temperature and/or the hematocrit (Hct) content of the sample. These secondary output signals may be determined from a thermistor, a dedicated Hct electrode, and the like, or from one or more estimates of these values originating from the primary output signals.
[0077] In these glucose analysis systems, the electrical or optical primary output signals responsive to the glucose concentration of the sample also depends on the temperature of the sample and/or the Hct content of the sample. The temperature and Hct information provided by the secondary output signals of the measurement device is substantially independent of the glucose concentration of the sample. Thus, in addition to the reference sample analyte concentration, there are at least two (glucose and temperature responsive signals) or three (glucose, temperature, and Hct responsive signals) stimuli to consider for determining the calibration information to store in the measurement device for later use during an analysis.
[0078] An example of a conventional method of addressing this calibration in a glucose system is to generate a line or curve representing the reference correlation between multiple reference sample analyte concentrations for glucose and the corresponding output signals of the measurement device at a known temperature, and/or hematocrit concentration. This reference correlation is stored in the measurement device for later use during the analysis. As optical detectors convert light to a voltage and/or amperage, this process is similar for optical or electrochemical biosensor systems. Thus, a reference correlation may be determined for the known reference sample analyte concentration at 20 C. and a 40% sample Hct, for example, and stored in the measurement device. This process may be repeated for multiple Hct sample concentrations at the selected temperature, for example, and these reference correlations also stored in the measurement device. However, in this conventional technique, during the analysis the measurement device must select which of the multiple reference correlations to use or to interpolate between for a specific analysis. Thus, the measurement device is attempting to select the best reference correlation of those it has to fit the actual analysisa process fraught with potential issues. The goal of the later analysis of a sample by the biosensor system is to transform the output signal determined by the measurement device into the analyte concentration of the sample using the previously determined reference correlation or correlations stored in the device.
[0079] In contrast to a conventional direct conversion of the output signal to a concentration by the reference correlation, a significant benefit of the presently disclosed calibration methods arises from the ability to use the laboratory determined calibration information stored in the measurement device in later compensation techniques if at least two of these stimuli (reference sample analyte concentration for glucose and secondary temperature output signals) are reduced to one (reference sample analyte concentration for glucose). For example, the temperature dependence of the reference correlation on temperature may be reduced or preferably removed through the described normalization methods to make the reference correlation unitless. Similarly, the Hct dependence of the reference correlation also may be reduced or preferably removed through the described normalization methods.
[0080] The normalization method reduces the dependence of the primary output glucose signal from the measurement device on temperature or temperature and sample %-Hct by generating a normalized output signal from the glucose responsive current values determined by the measurement device. Then a normalized reference correlation is determined between the generated normalized output signals and the reference sample analyte concentrations. The normalization relationship used to determine the normalized output signals and the normalized reference correlation are stored in the measurement device. In use, the primary output signals responsive to glucose as measured by the measurement device as normalized by the described normalization procedure remain responsive to glucose, but become substantially independent of the secondary output signals responsive to temperature or temperature and sample %-Hct.
[0081] For either analysis type, the normalization method may be represented by the following expression: Normalized Output Signal=(analyte responsive signal including the effect of one primary stimulus and at least one extraneous stimulus)/(at least one extraneous stimulus signal) where the effect of the primary stimulus is the effect the measurement device is attempting to detect and/or quantify. Thus, while two or more factors affect the outcome of the analysis, one or more factor is normalized to reduce the factors affecting the outcome of the analysis to one. The analyte responsive primary output signal may be the reflectance output from the Zone 1 detector/s of an A1c analysis system or the current output responsive to the electrochemical redox reaction of glucose or a glucose concentration responsive mediator in an electrochemical analysis system, for example. Primary output signals from other types of analyses also may be used with the normalization method. The extraneous stimulus may be THb in an A1c analysis system, for example, or temperature and/or hematocrit in a glucose analysis system, for example. Thus, the extraneous stimulus arises from the secondary output signals of the analysis.
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[0083] In analyte responsive output signal measurement 110, analyte responsive output signals are measured from a reference sample, where the analyte responsive output signals are affected by at least one extraneous stimulus resulting from a physical characteristic, an environmental aspect, and/or a manufacturing variation error being incorporated into the analyte responsive output signals. At least two analyte responsive output signals are measured. Preferably, at least four, and more preferably at least 6 analyte responsive output signals are measured from the reference sample. Optical and/or electrochemical methods may be used to analyze the reference samples.
[0084] In reference correlation determination 120, a reference correlation 122 is determined between one or more reference sample analyte concentrations 124 and one or more output signals. The reference correlation 122 relates the reference sample analyte concentrations 124 to the output signals as determined by the measurement device 126. The reference sample analyte concentration of the reference samples may be determined using a reference instrument, by mixing or altering known sample analyte concentrations, and the like.
[0085] In extraneous stimulus quantification 130, one or more extraneous stimulus responsive output signals are measured from the reference samples and the extraneous stimulus quantified to determine at least two quantified extraneous stimulus values 132. The stimulus responsive output signals may be measured concurrently with the analyte responsive output signals or at different times. Preferably, the stimulus responsive output signals are measured concurrently with the analyte responsive output signals.
[0086] The extraneous stimulus signals may be directly quantified, such as when an optical detector or electrode outputs a specific voltage and/or amperage. The extraneous stimulus signals may be indirectly quantified, such as when a thermistor provides a specific voltage and/or amperage that is reported as a temperature in degrees Celsius, for example. The extraneous stimulus signals also may be indirectly quantified, such as when the Hct concentration of a sample is determined from a specific voltage and/or amperage measured from an Hct electrode, for example. The extraneous stimulus signals may be directly or indirectly quantified and then modified to provide the quantified extraneous stimulus values 132, such as when the directly or indirectly quantified extraneous stimulus value is transformed into a concentration. The quantified extraneous stimulus values 132 may be determined by averaging multiple values, such as multiple temperature readings recorded at the same target temperature. The extraneous stimulus may be quantified through other techniques. For example, analysis method 200, as described further below provides an example of extraneous stimulus quantification.
[0087] In normalizing relationship determination 140, a normalizing relationship 142 is determined between the analyte responsive output signals and the quantified extraneous stimulus values 132 for the analyte concentration of the one or more reference sample analyte concentrations selected. Preferably, a regression technique is applied to the analyte responsive output signals and the quantified extraneous stimulus values 132 to determine the normalizing relationship at single selected analyte concentration.
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[0089] Linear or non-linear (such as polynomial) regression techniques may be used to determine the normalizing relationship 142. Linear or non-linear regression techniques include those available in the M1N11AF3 version 14 or version 16 statistical packages (MINTAB, INC., State College, Pa.), Microsoft Excel, or other statistical analysis packages providing regression techniques. Preferably, polynomial regression is used to determine the normalizing relationship 142. For example in MS Excel version 2010, the Linear Trendline Option accessible through the Trendline Layout Chart Tool may be selected to perform linear regression, while the Polynomial Trendline Option may be chosen to perform a non-linear polynomial regression. Other regression techniques may be used to determine the normalizing relationship 142. The normalizing relationship 142 is preferably stored in the measurement device as a portion of the calibration information.
[0090] When linear regression is used, the normalizing relationship 142 will be in the form of Y=mX+b, where m is the slope and b is the intercept of the regression line. When non-linear regression is used, the normalizing relationship 142 will be in a form of Y=b.sub.2*X.sup.2+b.sub.1*X+b.sub.0, and the like, where b.sub.2, b.sub.1 and b.sub.0 are the coefficients of the polynomial. In both the linear or polynomial regression equations, Y is the calculated synthesized extraneous stimulus responsive output signal responsive to the extraneous stimulus portion of the primary output signal at a single selected analyte concentration; and X is the quantified extraneous stimulus signals/values. When a value of X (the quantified extraneous stimulus signal value) is entered into either one of the relationships (linear or polynomial equations), an output value Y, representing the normalizing value (NV) is generated from the normalizing relationship.
[0091] If a second extraneous stimulus is adversely affecting the analyte responsive output signals and will be addressed by the calibration information, the normalizing relationship determination 140 is repeated for a second extraneous stimulus. An example of how a second normalizing relationship may be determined to address a second extraneous stimulus is found regarding
[0092] In normalizing value determination 150, a normalizing value 152 is determined from the normalizing relationship 142 by inputting the quantified extraneous stimulus values 132 into the normalizing relationship 142 and solving for the normalizing value 152.
[0093] In normalized output signal determination 160, one or more normalized analyte responsive output signals are determined from one or more analyte responsive output signals and the normalizing value. Preferably, the analyte responsive output signals are divided by the normalizing value 152 to provide normalized analyte responsive output signals 162. This preferably reduces the effect of the extraneous stimulus on the analyte responsive output signals.
[0094] In normalized reference correlation determination 170, a normalized reference correlation 172 is determined between the normalized analyte responsive output signals 162 and the reference sample analyte concentrations 124. Preferably, a regression technique is applied to the normalized analyte responsive output signals 162 and the reference sample analyte concentrations 124 to determine the normalized reference correlation 172. Linear or non-linear (such as polynomial) regression techniques may be used, such as those available in the MINITAB version 14 or version 16 statistical packages (MINTAB, INC., State College, Pa.), Microsoft Excel, or another statistical analysis package providing regression techniques. Preferably, polynomial regression is used to determine the normalized reference correlation 172.
[0095] For example in MS Excel version 2010, the Linear Trendline Option accessible through the Trendline Layout Chart Tool may be selected to perform linear analysis, while the Polynomial Trendline Option may be chosen to perform a non-linear polynomial analysis. Other regression techniques may be used to determine the normalized reference correlation 172.
[0096] When linear regression is used, the normalized reference correlation 172 will be in the form of Y=mX+b, where m is slope and b is an intercept of the regression line. When non-linear regression is used, such as a polynomial, the normalized reference correlation 172 may be in a form of Y=b.sub.2*X.sup.2+b.sub.1*X+b.sub.0, and the like, where b.sub.2, b.sub.1 and b.sub.0 are the coefficients of the polynomial. The normalized reference correlation 172 is preferably stored in the measurement device as a portion of the calibration information for later use during the analysis of a sample.
In the measurement device, Y is the normalized analyte responsive output signal value determined during the analysis, and X is the analyte concentration of the sample as determined from the normalized reference correlation 172. As discussed further below, for the linear normalized reference correlation, an X value (the sample analyte concentration) may be solved for when inputting a Y value (a value of the normalized output signal) into the equation. For a normalized reference correlation in the form of a 2nd order polynomial, the normalized reference correlation 172 may be expressed in the form of a normalized calibration curve as X=c.sub.2*Y.sup.2+c.sub.1*Y+c.sub.0 where c.sub.2, c.sub.1 and c.sub.0 are coefficients for the equation. A normalized output signal input to this relationship will generate an analyte concentration.
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[0098] If a second extraneous stimulus adversely affecting the analyte responsive output signals is considered, such as the hematocrit concentration of the sample when the first extraneous stimulus is temperature, at least two second quantified extraneous stimulus values 134 may be determined in accord with the extraneous stimulus quantification 130.
[0099] Then a second normalizing relationship 147 may be determined in accord with the normalizing relationship determination 140, but where the second normalizing relationship 147 is determined between the normalized analyte responsive output signals 162 and the second quantified extraneous stimulus values 134 at a single selected sample analyte concentration. The second normalizing relationship 147 is preferably stored in the measurement device as a portion of the calibration information.
[0100] In the case of the second extraneous stimulus, a second normalizing value determination 155 is performed. A second normalizing value 157 is determined from the second normalizing relationship 147 by inputting the second quantified extraneous stimulus values 134 into the second normalizing relationship 147 and solving for the second normalizing value 157.
[0101] In the case of the second extraneous stimulus, a second normalized output signal determination 165 is performed. Second normalized analyte responsive output signals 167 are determined by dividing the normalized analyte responsive output signals 162 by the second normalizing value 157.
[0102] In the case of the second extraneous stimulus, a second normalized reference correlation determination 175 is performed. A second normalized reference correlation 177 is determined between the second normalized analyte responsive output signals 167 and the reference sample analyte concentrations 124 by a regression technique, as previously described.
[0103] The second normalized reference correlation 177 is preferably stored in the measurement device as a portion of the calibration information. In this case, the normalized reference correlation 172 does not need to be stored in the measurement device and is preferably not used during the analysis. Similarly, three or more extraneous stimulus may be considered by the calibration information, where each extraneous stimulus is represented by an individual normalizing relationship stored in the measurement device in addition to a single normalized reference correlation prepared for the combined extraneous stimulus represented by the individual normalizing relationships.
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[0105] In analysis analyte responsive output signal measurement 220, one or more analyte responsive output signal values 222 are measured from the sample, where the analyte responsive output signal values are affected by one or more extraneous stimulus, such as a physical characteristic, an environmental aspect, and/or a manufacturing variation, that results in an error being incorporated into the analyte responsive output signal values. The analyte responsive output signal values 222 are measured from one or more output signals generated from the sample using optical and/or electrochemical methods, such as gated amperometry, gated voltammetry, or the like.
[0106] In analysis extraneous stimulus quantification 230, one or more extraneous stimulus responsive output signals are measured. One or more quantified extraneous stimulus values are determined in response to the extraneous stimulus responsive output signals. From method 100, a single or first quantified extraneous stimulus value 232 may be determined in response to a first extraneous stimulus. Methods 100 and 102 may be combined to determine a first quantified extraneous stimulus value 232 in response to a first extraneous stimulus and a second quantified extraneous stimulus value 234 in response to a second extraneous stimulus. Other quantified extraneous stimulus values may be determined. Thus, a quantified extraneous stimulus value is determined for each extraneous stimulus addressed by the calibration information. The quantified extraneous stimulus responsive output signals are measured from one or more output signals generated from the sample using optical and/or electrochemical methods, such as gated amperometry, gated voltammetry, or the like.
[0107] In analysis normalizing value determination 250, one or more previously determined normalizing relationships are used to determine one or more normalizing values. Examples of previously determined normalizing relationships are the previously described normalizing relationship 142 and the previously described second normalizing relationship 147. For example, one or more of the analyte responsive output signal values 222 and the quantified extraneous stimulus value 232 are input into the normalizing relationship 142. Similarly, one or more of the analyte responsive output signal values 222 and the quantified extraneous stimulus value 234 are input into the second normalizing relationship 147. In this way, extraneous stimulus value 232 or 234 may be input to the normalizing relationship 142 or 147 to determine the normalizing value. Thus, one or more analyte responsive output signal values and one or more quantified extraneous stimulus values are input into one or more normalizing relationships to determine one or more normalizing values.
[0108] In normalized analyte responsive output signal determination 260, at least one normalized analyte responsive output signal value is determined in response to the one or more analyte responsive output signal values and one or more normalizing values. The one or more analyte responsive output signal values 222 are divided by the normalizing value to determine one or more normalized analyte responsive output signal values 262 (in the case of one external stimulus) or 267 (in the case of two external stimulus). Preferably, one analyte responsive output signal value is used to determine one normalized analyte responsive output signal value.
[0109] In analysis analyte concentration determination 280, one or more analyte concentrations in the sample are determined in response to one or more normalized reference correlations and one or more normalized analyte responsive output signals. Preferably, a previously determined normalized reference correlation, such as the previously described normalized reference correlation 172 or 177, transforms the one or more normalized analyte responsive output signal values 262 or 267 into an analyte concentration of the sample 282. Preferably, the previously described normalized reference correlation 172 or 177 is transforms one normalized analyte responsive output signal value into an analyte concentration of the sample. When two or more analyte concentrations of the sample are determined, the analyte concentrations may be averaged to provide an average analyte concentration of the sample.
[0110] In 290, the analyte concentration of the sample 282 may be displayed, stored for future reference, compensated, and/or used for additional calculations.
[0111] Thus, in the analysis method 200 the normalized reference correlation 172 or 177 is incorporated into the measurement device and used similarly to how a conventional reference correlation would be used to translate primary output signal values into determined analyte concentrations of the sample. Except that in the analysis method 200, instead of primary output signal values being transformed by the reference correlation 122, the normalized analyte responsive output signal value/s 262 or 267 are transformed by the normalized reference correlation 172 or 177, respectively, to provide the analyte concentration of the sample with reduced effect from one or more extraneous stimulus.
[0112] An example of the calibration method 100 for determining calibration information with a reduced extraneous stimulus effect for incorporation into the measurement device using this normalization process for calibration is shown in
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[0116] The regression equations determined at the 85 THb mg/mL and 230 THb mg/mL are shown on the figure, but regression equations at 127 and 175 mg/mL THb also were determined. In this example, the single selected sample analyte concentration of 9%-A1c was selected to determine the synthesized extraneous stimulus responsive output signal values from the primary output signals. Thus, in this example, the reference sample analyte concentration of 9% provided an 0.36 A1c synthesized extraneous stimulus responsive output signal value for the 85 mg/mL THb samples from the 85 mg/mL. THb regression line and an 0.44 A1c synthesized extraneous stimulus responsive output signal value for the 230 mg/mL THb samples from the 230 mg/mL THb regression line.
[0117] Synthesized extraneous stimulus responsive output signal values can be determined in other ways than determining regression lines and back determining a primary output signal value from a selected reference sample analyte concentration. For example, synthesized extraneous stimulus responsive output signal values may be selected from the measured primary output signal values at one reference sample %-A1c concentration for all four THb levels. A single THb reflectance signal measured concurrently is paired with the A1c reflectance signal to form the four pairs of Mc and THb data and to construct the plot of A1c reflectance vs. THb reflectance, which will also lead to the normalizing relationship.
[0118] While the single selected sample analyte concentration of 9%-A1c was chosen in
[0119] Table A, below, shows the data pairs collected from averaging the THb signals at the same level of THb and the corresponding synthesized THb responsive output signals calculated at a single %10-A1c concentration (in this example 9% A1c) through the above general regression relationship (R.sub.A1c=Slope*%-A1c+Int) as in
TABLE-US-00001 TABLE A Synthesized and Average THb Signal Values THb (mg/mL) 85 125 175 230 THb/70 (mg/mL)* 1.214 1.786 2.5 3.286 Quantified (Avg.) secondary 0.7572 0.7302 0.7069 0.6796 output signal from FIG. 2B Synthesized THb Responsive 0.3659 0.3964 0.4183 0.4400 Output Signal Values at Alc Conc. (9) from FIG. 2C
*The samples were diluted to obtain signals appropriate for the detectors.
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[0121] A regression technique, in this case polynomial (a.sub.2*THb.sup.2+a.sub.1*THb+a.sub.0, where a.sub.2, a.sub.1 and a.sub.0 are the coefficients of the 2.sup.nd order polynomial normalization function from curve-fitting and THb is the quantified extraneous stimulus value for THb), was then used to determine the normalizing relationship 142 between the synthesized extraneous stimulus responsive output signals at a single selected sample analyte concentration and the quantified extraneous stimulus signals. The specific normalization relationship for the A1c analysis data from this example is shown in
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[0123] Preferably, the determination of normalized analyte responsive output signals is performed for all or the majority of the analyte responsive output signal to determine the calibration information. However, a subset of the analyte responsive output signal may be used depending on the analysis system. Thus, in
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[0125] The specific normalized reference correlation for the A1c analysis data from this example is shown in
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[0127] A normalized reference correlation expressed in this way may be considered a normalized calibration curve. Such a normalized calibration curve providing sample analyte concentrations is preferred for storage in the measurement device for use during the analysis 200 as the biosensor system determines an analyte concentration from the primary output signal, and not the reverse as would be obtained from the normalized reference correlation of
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[0129] The resultant calibration information including the normalizing relationship and the normalized reference correlation may be stored in the measurement device in the form of a look-up table, one or more equations, and the like. Other relationships also may be stored in the measurement device. The calibration information is used by the processor of the measurement device during sample analysis to determine the analyte concentration of the sample.
[0130] In a measurement device with one primary output signal, the above techniques may be used to determine calibration information for the one primary output signal. However, for measurement devices with more than one primary output signal, calibration information may be determined for each primary output signal, and the analyte concentrations determined from the different calibration information combined. For example, in an A1c measurement device having more than one detector for Zone 1 with which to determine the primary stimulus, calibration information may be determined for each detector channel and then the final analyte concentration determined by averaging the initial analyte concentration determined from each detector channel.
[0131] Alternatively, for measurement devices with more than one primary output signal of the same primary stimulus, the output signals initially may be combined and calibration information determined for the combined signal. The independent output signals may then be transformed into analyte concentrations using the combined calibration information to provide initial analyte concentrations that are then combined to provide the analyte concentration of the sample, or the combined output signals may be transformed by the calibration information determined for the combined signal to provide the analyte concentration of the sample. For example, in an A1c measurement device having more than one detector for Zone 1, the output signals from both detectors may be averaged and calibration information determined for the averaged output signals from both detectors. Then, the averaged output signal may be transformed into the analyte concentration of the sample by the calibration information determined from the averaged output signal or the output signal from both channels transformed by the calibration information determined from the averaged output signal to provide two initial analyte concentrations, which are then averaged to provide the final analyte concentration of the sample.
[0132] The examples described with regard to
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[0134]
[0135]
TABLE-US-00002 TABLE 1 Calibration %-bias1 %-bias3 %-bias_Avg Mean 0.274 0.295 0.156 SD 5.25 5.52 3.97
TABLE-US-00003 TABLE 2 Analysis %-bias1 %-bias3 %-bias_Avg Mean 0.055 0.184 0.120 SD 5.58 6.23 5.09
[0136] In addition to determining calibration information for each channel, and then combining the intermediate sample concentrations determined for each channel, the output signals from each channel may be first combined and then used to determine calibration information for the combined signal.
[0137] An example of the calibration method 100 for determining calibration information with a reduced extraneous stimulus effect for temperature on the primary output signal from an electrochemical glucose analysis system is shown in
[0138] For the temperature effect, the currents measured by the measurement device from reference samples at 40% Hct (the %-Hct at which the conventional reference correlation relating output currents and reference sample analyte concentrations was determined) and at different temperatures were normalized. In this type of glucose system, the working and counter electrodes provide the primary output signal while the temperature sensor provides the secondary output signal. This process is represented with the plots in
[0139]
[0140]
[0141] In
[0142] Table 3, below, provides the synthesized extraneous stimulus responsive output signal values obtained for each temperature at 100 and 500 mg/dL glucose sample analyte concentration from the individual regression lines by using the regression equations similar to that previously described with regard to the A1c example (i.sub.G=Slope*G.sub.Ref+Int). The temperatures values in the table are averages from all the measured temperatures when performing the analysis of the reference samples at the target temperatures. Thus, Table 3 forms two sets of pairs at the selected single glucose concentration of 100 or 500 mg/dL, each set containing seven pairs of output signals-temperatures data.
TABLE-US-00004 TABLE 3 Synthesized Output Signal Values Avg. Temp, C. 6.0 10.9 15.9 22.0 30.4 35.1 40.0 500 mg/dL 205.78 283.53 373.96 462.61 639.89 705.54 809.11 100 mg/dL 41.16 56.71 74.79 92.52 127.98 141.11 161.82
Thus,
[0143]
[0144] A regression technique, in this case polynomial (a.sub.2*T.sup.2+a.sub.1*T+a.sub.0, where a.sub.2, a.sub.1 and a.sub.0 are the coefficients of the 2.sup.nd order polynomial normalization function from curve-fitting and T is the quantified extraneous stimulus value for temperature), was then used to determine the normalizing relationship 142 between the synthesized extraneous stimulus responsive output signals at a single selected sample analyte concentration and the quantified extraneous stimulus signals. The specific normalization relationship for the 100 and 500 mg/dL glucose analysis data from this example is shown in
[0145]
[0146]
[0147] The specific normalized reference correlation for the glucose analysis data from this example is shown in
[0148] For the temperatures measured (6.0 C., 10.9 C., 15.9 C., 22.0 C., 30.4 C., 35.1 C., and 40.0 C.), the average temperatures, the regression slope obtained at each temperature using a conventional reference correlation, and the regression slope obtained at each temperature using the normalized reference correlation at the 100 mg/dL glucose reference sample analyte concentration are tabulated in Table 4, below.
TABLE-US-00005 TABLE 4 Summary of Normalization for Temperature Stimulus Conventional Normalized Reference Reference Temp C. Correlation Slopes Correlation Slopes 6.0 0.412 0.0103 10.9 0.567 0.0099 15.9 0.748 0.0101 22.0 0.925 0.0097 30.4 1.280 0.0102 35.1 1.411 0.0099 40.0 1.618 0.0100 Mean slope 0.9944 0.0100147 SD, slope 0.4532 0.00023014 %-CV 45.6 2.3
[0149] The improvement in measurement performance may be better appreciated by looking at the mean response slopes and the %-CV of the slopes before and after normalization. The %-CV of the response slopes determined with primary output signals from the measurement device and a conventional reference correlation was 45.6%. In contrast, the %-CV of the response slopes determined with the described normalized primary output signals and normalized reference correlation was reduced to 2.3%, an approximate 95% reduction (45.62.3/45.6*100). This reduction is graphically represented when the normalized output signal currents are transformed into sample analyte concentrations with the normalized reference correlation of
[0150]
[0151] Once the effect of temperature is reduced, the effect of a second extraneous stimulus, such as sample hematocrit also may be substantially reduced using a two-step normalization process, thus the combination of
[0152] An example of the calibration method 102 for determining calibration information with a reduced secondary extraneous stimulus effect for hematocrit on the primary output signal from an electrochemical glucose analysis system is shown in
[0153]
[0154]
[0155]
[0156] Temperature as an error parameter or an extraneous stimulus is preferably measured concurrently with the primary stimulus and its value is independent of other factors. The hematocrit concentration in the blood samples is provided along with the glucose concentration, but the hematocrit responsive secondary output signals are temperature-dependent. Therefore, temperature is also an extraneous stimulus for the Hct responsive output signals and the effect of temperature is preferably reduced by normalization. The procedure involved is first to construct the Hct responsive currents plot against the temperature at a single selected Hct concentration. Then, a Hct normalized calibration curve is determined that provides the calculated %-Hct values from the temperature normalized Hct output signals for later use.
[0157] Synthesized Hct output signal values were generated similarly as previously described for A1c and glucose with regard to
[0158]
[0159]
[0160]
[0161] A regression technique, in this case polynomial (c.sub.2*Hct2+c.sub.1*Hct+c.sub.0, where c.sub.2, c.sub.1 and c.sub.0 are the coefficients of the 2.sup.nd order polynomial normalization function from curve-fitting and Hct is the second quantified extraneous stimulus value for Hct), was then used to determine the normalizing relationship between the synthesized second extraneous stimulus responsive output signals at a single selected sample analyte concentration and the quantified second extraneous stimulus values (reference sample hematocrit concentrations of 0%, 20%, 40%, 55%, and 70%. The specific normalization relationship for the 100 and 500 mg/dL glucose analysis data from this example is shown in
[0162] Second normalized analyte responsive output signals 167 were then determined from the normalizing value at 100 mg/dL. Thus, the temperature normalized output signals from the vertical Y-axis of
[0163]
[0164]
[0165] The specific normalized reference correlation for the glucose analysis data from this example is shown in
[0166] For the hematocrit concentrations provided from the blood samples (0%, 20%, 40%, 55%, and 70%), the slopes of the reference correlations with temperature and temperature/hematocrit normalizations are tabulated in Table 5, where Slope/T is the slope from the temperature normalized reference correlation and Slope/T/H is the slope from the temperature and hematocrit normalized reference correlation.
TABLE-US-00006 TABLE 5 Summary of Normalization for Temperature and Hematocrit Stimuli Slope/T Slope/T/H % Hct FIG. 5C FIG. 5G 0 0.0133 0.0105 20 0.0126 0.0107 40 0.0105 0.0105 55 0.0082 0.0101 70 0.0058 0.0102 Mean slope 0.0101 0.0104 SD, slope 0.0031 0.0002 % CV 30.7 2.3
[0167] The improvement in measurement performance may be better appreciated by looking at the mean response slopes and the %-CV of the slopes for temperature normalization alone and after normalization for both temperature and hematocrit. In this example, the %-CV of the response slopes determined with a temperature normalized reference correlation was 30.7%. In contrast, the %-CV of the response slopes determined with the described temperature and hematocrit normalized reference correlation was reduced to 2.3%, an approximate 92% reduction (30.72.3/30.7*100) in %-CV providing a substantial increase in measurement performance to the biosensor system.
[0168]
[0169]
[0170] The biosensor system 500 determines the analyte concentration of the sample using the calibration information developed in accord with the previously described normalization techniques and stored in the measurement device 502. The calibration information from one or both of the calibration methods 100 and 102 may be stored in the measurement device 502. The calibration information includes one or more normalizing relationships and one or more normalized reference correlations. One or both calibration methods 100 and 102 may be stored in the measurement device 502 so the normalized calibration information may be determined by the measurement device 502. The analysis method 200 may be stored in the measurement device for implementation by the biosensor system 500. The method of measurement device calibration may improve the measurement performance of the biosensor system 500 in determining the analyte concentration of the sample. The biosensor system 500 may be utilized to determine analyte concentrations, including those of glucose, A1c, uric acid, lactate, cholesterol, bilirubin, and the like. While a particular configuration is shown, the biosensor system 500 may have other configurations, including those with additional components.
[0171] The test sensor 504 has a base 506 that forms a reservoir 508 and a channel 510 with an opening 512. The reservoir 508 and the channel 510 may be covered by a lid with a vent. The reservoir 508 defines a partially-enclosed volume. The reservoir 508 may contain a composition that assists in retaining a liquid sample such as water-swellable polymers or porous polymer matrices. Reagents may be deposited in the reservoir 508 and/or the channel 510. The reagents may include one or more enzymes, binders, mediators, and like species. The reagents may include a chemical indicator for an optical system. The test sensor 504 has a sample interface 514 adjacent to the reservoir 508. The test sensor 504 may have other configurations.
[0172] In an optical sensor system, the sample interface 514 has an optical portal or aperture for viewing the sample. The optical portal may be covered by an essentially transparent material. The sample interface 514 may have optical portals on opposite sides of the reservoir 508.
[0173] In an electrochemical system, the sample interface 514 has conductors connected to a working electrode 532 and a counter electrode 534 from which the analytic output signal may be measured. The sample interface 514 also may include conductors connected to one or more additional electrodes 536 from which secondary output signals may be measured. The electrodes may be substantially in the same plane or in more than one plane. The electrodes may be disposed on a surface of the base 506 that forms the reservoir 508. The electrodes may extend or project into the reservoir 508. A dielectric layer may partially cover the conductors and/or the electrodes. The sample interface 514 may have other electrodes and conductors.
[0174] The measurement device 502 includes electrical circuitry 516 connected to a sensor interface 518 and an optional display 520. The electrical circuitry 516 includes a processor 522 connected to a signal generator 524, an optional temperature sensor 526, and a storage medium 528.
[0175] The signal generator 524 is capable of providing an electrical input signal to the sensor interface 518 in response to the processor 522. In optical systems, the electrical input signal may be used to operate or control the detector and light source in the sensor interface 518. In electrochemical systems, the electrical input signal may be transmitted by the sensor interface 518 to the sample interface 514 to apply the electrical input signal to the sample of the biological fluid. The electrical input signal may be a potential or current and may be constant, variable, or a combination thereof, such as when an AC signal is applied with a DC signal offset. The electrical input signal may be applied continuously or as multiple excitations, sequences, or cycles. The signal generator 524 also may be capable of recording an output signal from the sensor interface as a generator-recorder.
[0176] The optional temperature sensor 526 is capable of determining the ambient temperature of the measurement device 502. The temperature of the sample may be estimated from the ambient temperature of the measurement device 502, calculated from the output signal, or presumed to be the same or similar to the ambient temperature of the measurement device 502. The temperature may be measured using a thermister, thermometer, or other temperature sensing device. Other techniques may be used to determine the sample temperature.
[0177] The storage medium 528 may be a magnetic, optical, or semiconductor memory, another storage device, or the like. The storage medium 528 may be a fixed memory device, a removable memory device, such as a memory card, remotely accessed, or the like.
[0178] The processor 522 is capable of implementing the analyte analysis method using computer readable software code and the calibration information stored in the storage medium 528. The processor 522 may start the analyte analysis in response to the presence of the test sensor 504 at the sensor interface 518, the application of a sample to the test sensor 504, in response to user input, or the like. The processor 522 is capable of directing the signal generator 524 to provide the electrical input signal to the sensor interface 518. The processor 522 is capable of receiving the sample temperature from the temperature sensor 526. The processor 522 is capable of receiving the output signals from the sensor interface 518.
[0179] In electrochemical systems, the analyte responsive primary output signal is generated from the working and counter electrodes 532, 534 in response to the reaction of the analyte in the sample. Secondary output signals also may be generated from additional electrodes 536. In optical systems, the detector or detectors of the sensor interface 518 receive the primary and any secondary output signals. The output signals may be generated using an optical system, an electrochemical system, or the like. The processor 522 is capable of determining analyte concentrations from output signals using the calibration information stored in the storage medium 528. The results of the analyte analysis may be output to the display 520, a remote receiver (not shown), and/or may be stored in the storage medium 528.
[0180] The calibration information relating reference sample analyte concentrations and output signals from the measurement device 502 may be represented graphically, mathematically, a combination thereof, or the like. The calibration information is preferably represented as correlation equations, which may be represented by a program number (PNA) table, another look-up table, or the like that is stored in the storage medium 528.
[0181] Instructions regarding implementation of the analyte analysis also may be provided by the computer readable software code stored in the storage medium 528. The code may be object code or any other code describing or controlling the described functionality. The data from the analyte analysis may be subjected to one or more data treatments, including the determination of decay rates, K constants, ratios, functions, and the like in the processor 522.
[0182] In electrochemical systems, the sensor interface 518 has contacts that connect or electrically communicate with the conductors in the sample interface 514 of the test sensor 504. The sensor interface 518 is capable of transmitting the electrical input signal from the signal generator 524 through the contacts to the connectors in the sample interface 514. The sensor interface 518 also is capable of transmitting the output signal from the sample through the contacts to the processor 522 and/or signal generator 524.
[0183] In light-absorption and light-generated optical systems, the sensor interface 518 includes a detector that collects and measures light. The detector receives light from the test sensor 504 through the optical portal in the sample interface 514. In a light-absorption optical system, the sensor interface 518 also includes a light source such as a laser, a light emitting diode, or the like.
[0184] The incident beam may have a wavelength selected for absorption by the reaction product. The sensor interface 518 directs an incident beam from the light source through the optical portal in the sample interface 514. The detector may be positioned at an angle such as 45 to the optical portal to receive the light reflected back from the sample. The detector may be positioned adjacent to an optical portal on the other side of the sample from the light source to receive light transmitted through the sample. The detector may be positioned in another location to receive reflected and/or transmitted light.
[0185] The optional display 520 may be analog or digital. The display 520 may include a LCD, a LED, an OLED, a vacuum fluorescent display, or other display adapted to show a numerical reading. Other display technologies may be used. The display 520 electrically communicates with the processor 522. The display 520 may be separate from the measurement device 502, such as when in wireless communication with the processor 522. Alternatively, the display 520 may be removed from the measurement device 502, such as when the measurement device 502 electrically communicates with a remote computing device, medication dosing pump, and the like.
[0186] In use, a liquid sample for analysis is transferred into the reservoir 508 by introducing the liquid to the opening 512. The liquid sample flows through the channel 510, filling the reservoir 508 while expelling the previously contained air. The liquid sample chemically reacts with the reagents deposited in the channel 510 and/or reservoir 508.
[0187] The test sensor 502 is disposed in relation to the measurement device 502, such that the sample interface 514 is in electrical and/or optical communication with the sensor interface 518. Electrical communication includes the transfer of input and/or output signals between contacts in the sensor interface 518 and conductors in the sample interface 514. Optical communication includes the transfer of light between an optical portal in the sample interface 514 and a detector in the sensor interface 518. Optical communication also includes the transfer of light between an optical portal in the sample interface 514 and a light source in the sensor interface 518.
[0188] The processor 522 is capable of directing the signal generator 524 to provide an input signal to the sensor interface 518 of the test sensor 504. In an optical system, the sensor interface 518 is capable of operating the detector and light source in response to the input signal. In an electrochemical system, the sensor interface 518 is capable of providing the input signal to the sample through the sample interface 514. The test sensor 504 is capable of generating one or more output signals in response to the input signal. The processor 522 is capable of receiving the output signals generated in response to the redox reaction of the analyte in the sample as previously discussed.
[0189] The processor 522 is capable of transforming the output signal using the analysis method and the calibration information stored in the storage medium 528 to determine an initial analyte concentration of the sample. The processor 522 may then report this initial analyte concentration as the final analyte concentration of the sample. Alternatively, the processor 522 may further process this initial analyte concentration of the sample using a compensation system. More than one compensation and/or other functions also may be implemented by the processor 522.
[0190] To provide a clear and more consistent understanding of the specification and claims of this application, the following definitions are provided.
[0191] Average or Averaged or Averaging includes the combination of two or more variables to form an average variable. A variable may be a numerical value, an algebraic or scientific expression, or the like. For example, averaging may be performed by adding the variables and dividing the sum by the number of variables; such as in the equation AVG=(a+b+c)/3, where AVG is the average variable and a, b, and c are the variables. In another example, averaging includes modifying each variable by an averaging coefficient and then adding the modified variables to form a weighted average; such as in the equation W.sub.AVG=0.2*a+0.4*b+0.4*c, where W.sub.AVG is the weighted average, 0.2, 0.4 and 0.4 are the averaging coefficients, and a, b, and c are the variables. The averaging coefficients are numbers between 0 and 1; and if added, will provide a sum of 1 or substantially 1. Other averaging methods may be used.
[0192] Measurable species addresses a species the biosensor system is designed to determine the presence and/or concentration of in the sample and may be the analyte of interest or a mediator whose concentration in the sample is responsive to that of the analyte of interest.
[0193] While various embodiments of the invention have been described, it will be apparent to those of ordinary skill in the art that other embodiments and implementations are possible within the scope of the invention.