WO2005065535A1 - System and method for sensor recalibration - Google Patents
System and method for sensor recalibration Download PDFInfo
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- WO2005065535A1 WO2005065535A1 PCT/US2004/041856 US2004041856W WO2005065535A1 WO 2005065535 A1 WO2005065535 A1 WO 2005065535A1 US 2004041856 W US2004041856 W US 2004041856W WO 2005065535 A1 WO2005065535 A1 WO 2005065535A1
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- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B5/00—Measuring for diagnostic purposes; Identification of persons
- A61B5/145—Measuring characteristics of blood in vivo, e.g. gas concentration, pH value; Measuring characteristics of body fluids or tissues, e.g. interstitial fluid, cerebral tissue
- A61B5/1486—Measuring characteristics of blood in vivo, e.g. gas concentration, pH value; Measuring characteristics of body fluids or tissues, e.g. interstitial fluid, cerebral tissue using enzyme electrodes, e.g. with immobilised oxidase
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- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B5/00—Measuring for diagnostic purposes; Identification of persons
- A61B5/145—Measuring characteristics of blood in vivo, e.g. gas concentration, pH value; Measuring characteristics of body fluids or tissues, e.g. interstitial fluid, cerebral tissue
- A61B5/1495—Calibrating or testing of in-vivo probes
-
- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B5/00—Measuring for diagnostic purposes; Identification of persons
- A61B5/48—Other medical applications
- A61B5/4836—Diagnosis combined with treatment in closed-loop systems or methods
- A61B5/4839—Diagnosis combined with treatment in closed-loop systems or methods combined with drug delivery
Definitions
- the present invention relates to recalibration techniques and, in particular, to recalibration techniques for implantable sensors.
- the accuracy of a sensing system is generally limited by the drift characteristics of the sensing element over time and the amount of environmental noise introduced into the output of the sensing element.
- the sensing system is periodically calibrated, or recalibrated.
- a typical recalibration routine is performed at regular intervals.
- a technician will measure an output of the sensing system in response to a known, accurate input.
- the sensing system is then adjusted, or recalibrated, so that the output of the sensing system matches that of the known, accurate input to within an acceptable error margin.
- Typical recalibration routines are often inadequate for many sensing systems.
- Many sensing systems include sensing elements that exhibit non-linear outputs or outputs that change in a non-linear fashion over time.
- a simple linear adjustment during a recalibration procedure to force an output of the sensing system back to acceptable output values often fails to account for the true nature of many sensing elements.
- the result of simple linear adjustments may be a sensing system that is accurate only over a small range of the sensing elements capabilities or a sensing system that may not maintain acceptable levels of accuracy for extended periods of time.
- method for calibrating a sensor may include compiling an array of data relating to the sensor; adjusting a sensor parameter a first time based on data in the array; adjusting a curve representing the sensor output based on data in the array; and adjusting the sensor parameter a second time based on data in the array. Also, the method may further include establishing a new sensor output based on the adjusted curve and the twice adjusted sensor parameter.
- the array may include historical data and empirical data.
- the historical data may include measured blood glucose readings.
- the recent data may include blood glucose concentrations and electrode readings, such as, for example, glucose electrode readings and oxygen electrode readings.
- adjusting a sensor parameter a first time may include adjusting a current.
- the current may be a nominal glucose current adjusted based on a shift of measured data points with respect to blood glucose readings.
- the shift may be a mean shift.
- Adjusting the curve representing the sensor output may include performing a linear regression on data in the array. The result of the linear regression may determine a first calibration point. The first calibration point may be used to determine a plurality of calibration points.
- adjusting the curve representing the sensor output may include adjusting the curve in a piecewise linear fashion. The number of pieces in the piecewise linear adjustment may be five.
- Adjusting a sensor parameter a second time may include adjusting a current.
- the current may be a nominal glucose current adjusted based on a shift of measured data points with respect to blood glucose readings.
- the shift may be a mean shift.
- an implantable sensing system may include a sensor for sensing a biological parameter; a processor connected to the sensor for processing the parameter; and a drug delivery unit connected to the processor for responding to the processor based on the parameter.
- the processor may be programmed to adjust an output of the sensor by compiling an array of data relating to the sensor; adjusting a sensor parameter a first time based on data in the array; adjusting a curve representing the sensor output based on data in the array; and adjusting the sensor parameter a second time based on data in the array.
- the sensor may be a glucose sensor.
- the drug delivery unit may be an insulin pump. The insulin pump may deliver insulin in response to the sensed parameter.
- a method for calibrating a sensor may include generating a calibration curve based on a priori empirical values; compiling a plurality of data values from the sensor; compiling independent historical values of a parameter sensed by the sensor; and reconciling the plurality of data values from the sensor to the calibration curve using the independent historical values.
- the sensor may be a glucose sensor.
- the independent historical values of a parameter sensed by the sensor may be metered blood glucose values.
- Generating a calibration curve may include compiling a priori empirical values of sensors similar to the sensor being calibrated.
- Generating a calibration curve may also include generating a calibration curve representing a sensor having a plurality of phases.
- Reconciling the plurality of data values may include adjusting an output current of the sensor.
- the output current of the sensor may be a nominal glucose current.
- the nominal glucose current may be adjusted based on a shift of the plurality of data values from the sensor with respect to metered blood glucose values.
- Reconciling the plurality of data values may also include performing a linear regression on the plurality of data values.
- reconciling the plurality of data values may be performed in a piecewise linear fashion.
- Figure 1 shows a cross-sectional view of an exemplary sensor according to an embodiment of the present invention.
- Figure 2 shows a graph of a normalized calibration curve for the three phases of a sensor life according to an embodiment of the present invention.
- Figure 3 shows a graph of a piecewise linear approximation technique for the calibration curve according to an embodiment of the present invention.
- Figure 4 shows a detailed method for calibrating a sensor according to an embodiment of the present invention.
- Figure 5a-d shows a resulting adjustment of a recalibrated sensor output according to an embodiment of the present invention.
- Figure 6 shows an implanted sensing system in which embodiments of the invention may be used according to embodiments of the present invention.
- Embodiments of the present invention are directed to calibration techniques for use with implantable sensors that measure a characteristic of a patient's body.
- the characteristic is the glucose level
- the implantable sensor is placed in an artery or a vein.
- embodiments of the present invention are primarily described in the context of glucose sensors used in the treatment of diabetes, the embodiments of the invention are applicable to a wide variety of patient treatment programs where a physiological characteristic is monitored.
- embodiments of the invention can be used to determine the status and/or levels of a variety of characteristics including those associated with agents such as hormones, cholesterol, medication concentrations, pH, oxygen saturation, viral loads (e.g., HIV), or the like.
- embodiments of the present invention are not limited to implantation in an artery or vein, but can be implanted in and/or through subcutaneous, dermal, sub-dermal, inter-peritoneal or peritoneal tissue. Such sensors typically communicate a signal from the implantable sensor to either an internal or external monitor.
- a glucose oxygen sensor 20 is used to detect the level of glucose in the blood by measuring the depletion of oxygen as the glucose oxidase enzyme catalyzes a reaction between glucose and oxygen present in the blood according to the following reaction:
- the glucose sensor 20 has at least two electrodes 110, 120 to detect the level of oxygen in the blood.
- the first electrode is an oxygen sensing electrode 110 to detect the level of oxygen in the patient fluid (e.g. blood) as a reference point for the second electrode.
- the second electrode is a glucose sensing electrode 120 placed in the proximity of glucose oxidase to ascertain the oxygen depletion during the electrochemical reaction between oxygen and the glucose around the area of the glucose sensing electrode 120.
- the glucose oxygen sensor 20 is designed to send a particular current depending on the amount of oxygen present near the electrodes 110, 120.
- a measurement of the currents can be used to determine the amount of glucose present in the blood, as described in Application Serial Number 10/034,338 entitled “Implantable Sensor Electrodes and Electronic Circuitry,” filed on December 28, 2001, which is incorporated by reference herein in its entirety.
- different sensors technology may be used, such as, but not limited to a hydrogen peroxide sensor or an optical sensor.
- a hydrogen peroxide sensor would work similar to an oxygen sensor, except that rather than measuring the amount of oxygen depleted in the presence of the glucose oxidase enzyme, the hydrogen peroxide sensor would measure the amount of hydrogen peroxide produced as a result of the reaction between oxygen and glucose in the presence of the glucose oxidase enzyme.
- an implantable optical sensor would include a photo-reactive substance or compound that optically changes, fluoresces, or the like, or other suitable compounds that detect changing properties in the presence of a bodily fluid analyte, such as glucose or the like. The compounds can also be used to detect the level of an analyte that has been ingested, injected or placed inside the body, such as marker substances, or the like.
- the generalized method for recalibration of a sensor according to an embodiment of the present invention may be applied to a variety of sensors, including, but not limited to, biological parameter sensors, physical parameter sensors and the like.
- the generalized method may be applied to a variety of glucose sensors used in conjunction with implantable insulin pumps. Sensors and related systems of this type are disclosed in U.S. Patent Application No. 10/036,093, entitled, "Sensing Apparatus and Process," filed December 28, 2001, and U.S. Patent Application No.
- Sensors typically exhibit different characteristics during the useful life of the sensor. Specifically, sensors typically have three phases: (1) initialization phase, (2) stable phase, and (3) end of life phase. For example, after a sensor has been implanted into a patient, readings from the sensor needs to be adjusted for the first phase of the sensor life as the sensor becomes used to its environment. As the sensor begins to mature and the sensor enters its second phase of life, readings from the sensor need to be adjusted for its second phase of life.
- a calibration scheme which can be used to properly calibrate the sensor regardless of the phase of the sensor life and to identify which phase the sensor is in.
- a normalized calibration curve for the three phases of the sensor life is shown in Figure 2.
- the curve shapes 20, 30, and 40 are the calibration curve shapes of each phase of the sensor life as determined based on empirical data collected from the use of sensors.
- Arrow 5a, 5b represent a typical life cycle of the calibration curves as the sensor changes from one phase to another phase, as will be described in greater detail below.
- the vertical axis represents the ratio of real time glucose current to an imaginary glucose current in the absence of glucose.
- I g represents a sensor current output modulated by real time glucose measurements.
- I g0 represents a nominal value of the sensor output current when no glucose is present for measurement. I g0 can be calculated using the following formula:
- the horizontal axis, designated by C g /C 0 represents the ratio of measured glucose concentration versus a nominal glucose concentration. C g represents the glucose concentration . C 0 may be calculated by multiplying a nominal sensor oxygen electrode output current I 0 by a constant. In other words,
- phase 1 of the sensor's life may be viewed as a sensitivity period during the initial output of the sensor current with respect to glucose concentration.
- line 20 is virtually completely linear during the first phase. This linearity represents the sensor output when it is initially placed in a patient. However, as the sensor stabilizes and enters phase 2, the current output of the sensor with respect to glucose concentration tends to become non-linear.
- the curve shape moves from line 20 to curve 30, as shown by the arrow 5a, as the sensor gets used to its environment and the enzyme or other mechanism on the sensor proceeds towards stabilization and settles into its environment.
- curve 30 represent a continuum of change in the sensor output current with respect to glucose concentration
- the sensor may remain in this stabilized state for periods of one year or more.
- Curve 30 moves toward curve 40 as represented by arrow 5b.
- curve 40 is relatively flat for higher glucose concentrations, thereby rendering the sensor essentially ineffective for measurement. In other words, at the end of the sensor's life, the change in sensor output current with respect to a change in glucose concentration is minimal.
- the present invention adjusts the calibration curve throughout the life of the sensor. Having a constantly updated calibration curve assures that accurate sensor readings are obtained regardless of the phase of the sensor.
- a five-point piecewise linear approximation is used each time to approximate the calibration curve.
- the curve is broken into five points and the line between each two consecutive points is assumed to be linear, as illustrated in Figure 3.
- the piecewise linear approximation has been shown to reduce the complexity of the performed calculations while maintaining accurate results.
- other mathematical approximations can be used to get the value of the calibration curve, including using a larger or smaller number of piecewise linear approximations.
- FIG. 4 shows a more detailed method for calibrating a sensor according to an embodiment of the present invention.
- a calibration array is compiled from independent glucose readings, such as readings from a blood glucose meter taken simultaneously during the life of the sensor.
- the calibration array may be compiled from blood glucose meter readings, which have been taken and recorded for a particular sensor over a period of time, such as, for example, three weeks.
- Each recalibration of the sensor uses historically measured glucose points and corresponding sensor data.
- the reference glucose points and corresponding sensor data may be placed into the calibration array.
- the calibration array may include the following elements: time, independently measured glucose points (M g ), measured blood glucose concentrations (C 0 ), glucose electrode readings (I g ) and oxygen electrode readings (I 0 ).
- the nominal glucose current I g0 may be adjusted. For example, under certain conditions it is possible that there may be a base line shift in the nominal glucose current, I g0 ,. Thus, the normalized nominal glucose current may not be exactly equal to "one.”
- data may be used to adjust the current over a period of time. For example, according to an embodiment of the present invention, data over the last three weeks from the glucose sensor may be used to adjust the value of the nominal glucose current.
- the nominal glucose current (I g0 ) may be adjusted by calculating a shift of each measured data point with respect to the blood glucose meter readings .
- a mean shift may be determined and the value of the nominal glucose current adjusted accordingly, for example, either by adjusting the nominal glucose current by the amount of the mean shift or by adjusting the nominal glucose current by an amount corresponding to or dependent upon the mean shift.
- X m and Y m represent the x-y coordinates to map the meter values to the calibration curve graph.
- the constant a is an empirically derived time shift to correlate the sensor reading with the blood glucose meter. The time shift, a, has been found to be approximately 15 minutes.
- Y_shift Y m /Y c , in which Y c is the corresponding point on the calibration curve with the same X m value.
- the Y_shift is calculated for only the Y m and X m values corresponding to glucose values less than 120 mg/dl.
- the mean shift of I g0 is then calculated by:
- mean_shift ⁇ (Y_shift)/N
- N is the total number of calibration points (i.e., meter readings).
- the Y m values of each calibration point may be adjustment according to the new value of R:
- [0062] ( ⁇ w, )( ⁇ W ,x l 2 ) - ( ⁇ w l x l ) 2
- the weights, w 1; are determined according to the time at which that glucose measurement point is taken. According to an embodiment of the present invention, the weight declines linearly as the reference point is further back in history from the time the calibration:
- T is the time of calibration and i is the time at which the glucose measurement point is taken.
- i is the time at which the glucose measurement point is taken.
- the result of the linear regression is used to determine the last recalibration point.
- the last recalibration point is one of the five points on the calibration curve corresponding to the highest glucose concentration.
- the last calibration point, Y(5) is determined as follows:
- ⁇ Y (i)/(l-y(i)) H* ⁇ Y (i+l)/(l-y(i+l))
- ⁇ Y is the amount of change for calibration point Y and the variable H is set to 0.9 if the sensor is gaining sensitivity and 0.7 when the sensor losing sensitivity.
- the variable H may be different in different phases of sensor life.
- a second I g0 adjustment can be made to ensure the maximum accuracy.
- the second I g0 adjustment is identical to the first I g o adjustment, except that all calibration points, as opposed to only the low glucose value points (i.e., Y m and X m coordinates corresponding to glucose values under 120 mg/dl), will be used.
- a new nominal glucose current and new calibration curve may be set for the sensor.
- the sensor output can be calculated using the new calibration curve derived from the recalibration procedure of Figure 4.
- Figures 5a-d summarize the step-by-step change of the calibration curve.
- Figure 5a shows the calibration curve before the recalibration.
- the reference points mapped on the calibration graph are significantly deviant from the calibration curve.
- the sensor has undergone first I g0 adjustment; the low end points are lined up with the new calibration curve.
- the sensor has undergone curve shape adjustment, and the high-end points are also lined up with the calibration curve.
- the sensor has undergone the second I g0 adjustment for fine tuning purposes. As seen in Figure 5d, the curve is likely to change only slightly with respect to the reference points during the second I g o adjustment.
- a second I g0 adjustment may be omitted if fine tuning of the calibration curve is deemed unnecessary or additional I g0 adjustments may be performed if further fine tuning is deemed needed.
- FIG. 6 shows an implanted sensing system in which embodiments of the present invention may be used.
- an implanted sensing system 90 may include, but is not limited to, a pump 96, a catheter 94 having one end attached to the pump 96, and a sensor 92 disposed at another end of the catheter 94.
- the pump 96 may be an insulin pump and the sensor 92 may be a glucose sensor.
- the sensor 92 may be calibrated using embodiments of the present invention.
- a properly calibrated sensor 92 may send signals to the pump 96, enabling the pump 96 to accurately deliver medication or other fluids, such as insulin, for example, through the catheter 94 to a patient.
- a non- linear curve may be adjusted using a linear regression.
- Using a linear regression rather than a nonlinear regression provides many advantages. For example, the amount of processing power saved by using a linear regression rather than a non-linear regression is dramatic. Processing power is critical in battery operated or otherwise powered implantable systems. Moreover, linear regressions are far more stable than non-linear regressions when input data varies widely. Stability is critical in medical diagnostic and treatment systems such as an implantable insulin pump, for example.
- embodiments of the present invention may be used to recalibrate any sensor that exhibits nonlinear characteristics.
- embodiments of the present invention may be adapted for use with any type of sensor in any type of environment where calibration of the sensor over its lifetime is desired.
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Priority Applications (4)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
EP04814084A EP1706022B2 (en) | 2003-12-30 | 2004-12-15 | System and method for sensor recalibration |
CA2548292A CA2548292C (en) | 2003-12-30 | 2004-12-15 | System and method for sensor recalibration |
DE602004017511T DE602004017511D1 (en) | 2003-12-30 | 2004-12-15 | SYSTEM AND METHOD FOR SENSOR RECALIBRATION |
DK04814084.2T DK1706022T4 (en) | 2003-12-30 | 2004-12-15 | System and method for recalibrating a sensor |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
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US10/751,327 US7384397B2 (en) | 2003-12-30 | 2003-12-30 | System and method for sensor recalibration |
US10/751,327 | 2003-12-30 |
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WO2005065535A1 true WO2005065535A1 (en) | 2005-07-21 |
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PCT/US2004/041856 WO2005065535A1 (en) | 2003-12-30 | 2004-12-15 | System and method for sensor recalibration |
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EP (1) | EP1706022B2 (en) |
AT (1) | ATE412365T1 (en) |
CA (2) | CA2769600C (en) |
DE (1) | DE602004017511D1 (en) |
DK (1) | DK1706022T4 (en) |
WO (1) | WO2005065535A1 (en) |
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US7384397B2 (en) | 2008-06-10 |
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