Method for correcting a calibration curve

• US 5,348,889 A
• Filed: 09/04/1992
• Issued: 09/20/1994
• Est. Priority Date: 10/13/1989
• Status: Expired due to Term

• Current Assignee: Fuji Photo Film Co Limited (Fujifilm Holdings Corporation)
• Original Assignee: Fuji Photo Film Co Limited (Fujifilm Holdings Corporation)
• Inventors: Makiuchi, Hajime, Terashima, Masaaki
• Primary Examiner(s): Housel, James C.
• Assistant Examiner(s): Cano, Milton I.
• Application Number:
  US07/940,770
• Time in Patent Office: 746 Days
• Field of Search: 210/416.1, 364/571.01, 364/571.02, 364/571.05, 364/573, 364/497-500, 436/8
• US Class Current: 436/8
• CPC Class Codes: G01N 21/274 Calibration, base line adjustment, drift correction
• CPC Class Codes: G01N 21/8483 Investigating reagent band test-element handling not specific to a test method G01N33/4875; analytical elements specific to chemical analysis of biological material G01N33/52; autometer with reagent band G01N35/04
• CPC Class Codes: Y10T 436/10 Composition for standardization, calibration, simulation, stabilization, preparation or preservation; processes of use in preparation for chemical testing

Abstract

An improved calibration method for calibrating the measured value of an analyte in a liquid sample by referring to a calibration curve drawn by plotting the interrelation between the calibration values of n (n is an integer of not less than 2) calibrators containing different contents of the analyte and the measured values of the analyte contained in respective calibrators. In the improved method provided by the invention, the function of the calibration curve is determined by a first step of estimating an imaginal point, the imaginal point either corresponding to a calibration value larger than the uppermost value of the n calibrators and vicinal to the upper limit of the determination range of the analyte or corresponding to a calibration value smaller than the lowermost value of the n calibrators and vicinal to the lower limit of the determination range of the analyte or a calibration value vicinal to the zero value, and a second step of determining the function of the calibration curve by plotting the imaginal point with two to n measured values.

Claims

1. A method for determining a corrected measured value of an analyte in a liquid sample utilizing a calibration curve comprising the steps of:

providing a liquid sample of an analyte;

analyzing the sample to determine a measured value of the analyte;

preparing a corrected calibration curve by;

a) subjecting n calibrators, n is an integer and is greater than 2, containing varying known amounts of the analyte to assay in the same process for the quantitative analysis of the analyte so as to obtain the measured values of said n calibrators, said varying known amounts of analyte being referred as the calibration values of said calibrator;

b) determining a linear function of an uncorrected calibration curve using pairs of coordinates of the calibration values and the measured values of said n calibrators;

c) estimating a point having a coordinate of a calibration value and a measured value, wherein the calibration value is selected to be;

i) greater than the uppermost value of said calibration values of said n calibrators but not above the upper limit of a determination range for said analyte,

ii) less than the lowermost value of said calibration values of said n calibrators but not below the lower limit of the determination range of said analyte;

or

iii) zero value; and

d) determining a non-linear function of the corrected calibration curve by plotting said estimated point with the coordinates of said calibrators;

comparing the measured value of the analyte to the calibration curve; and

,

obtaining a corrected measured value of the analyte.

2. A method for determining a corrected measured value of an analyte in a liquid sample utilizing a calibration curve comprising the steps of:

providing a liquid sample of an analyte;

analyzing the sample to determine a measured value of the analyte;

preparing a corrected calibration curve by;

a) subjecting n calibrators, n is an integer and is greater than 2, containing varying known amounts of the analyte to assay in the same process for the quantitative analysis of the analyte so as to obtain the measured values of said n calibrators, said varying known amounts of analyte being referred to as the calibration values of said calibrator;

b) determining a linear function of an uncorrected calibration curve using pairs of coordinates of the calibration values and the measured values of said n calibrators excluding a pair of coordinates having a minimum of the calibration value and measured value;

c) estimating a point on said uncorrected calibration curve, said estimated point having a coordinate of a calibration value and a measured value, the calibration value of said estimated point being selected to be larger than the uppermost value of said calibration values of said n calibrators but not above the upper limit of a determination range for said analyte, the measured value corresponding to said calibration value and being determined by referring to said uncorrected calibration curve;

d) determining a non-linear function of the corrected calibration curve by plotting said estimated point with the coordinates of said n calibrators;

comparing the measured value of the analyte to the corrected calibration curve; and

,

obtaining a corrected measured value of the analyte.

3. The method of claim 2, wherein said calibration value of said estimated point is the upper limit correct value within the determination range.

4. The method of claim 3, wherein said uncorrected calibration curve is linear, and wherein said measured value is estimated by the following equation:

##EQU5## wherein;

X_max is the measured value at the upper limit of the determination range;

Y_max is the calibration value which is the upper limit of the determination range;

Y_n is the calibration value of the calibrator containing the maximum content of said analyte;

Y_n-1 is the calibration value of the calibrator containing the next to the maximum content of said analyte;

X_n is measured value of the calibrator containing the maximum content of said analyte; and

X_n-1 is the measured value of the calibrator containing the next to the maximum content of said analyte.

5. The method of claim 2, wherein said corrected calibration curve is determined through the least squares method.

6. The method of claim 2, wherein said liquid sample is analyzed by a dry analysis process.

19. The method of claim 3, wherein said corrected calibration curve is determined through the least squares method.

20. The method of claim 4, wherein said corrected calibration curve is determined through the least squares method.

7. A method for determining a corrected measured value of an analyte in a liquid sample utilizing a calibration curve comprising the steps of:

providing a liquid sample of an analyte;

analyzing the sample to determine a measured value of the analyte;

preparing a corrected calibration curve by;

a) subjecting n calibrators, n is an integer and is greater 2, containing varying known amounts of the analyte to assay in the same process for the quantitative analysis of the analyte so as to obtain the measured values of said n calibrators, said varying known amounts of analyte being referred to as the calibration values of said calibrator;

b) determining a linear function of an uncorrected calibration curve using pairs of coordinates of the calibration values and the measured values of said n calibrators excluding a pair of coordinates having the maximum of the calibration value and measured value;

c) estimating a point on said uncorrected calibration curve, said estimated point having a coordinate of a calibration value and a measured value, the calibration value of said estimated point being selected to be smaller than the lowermost value of said calibration values of said n calibrators but not below the lower limit of the determination range of said analyte, the measured value corresponding to said calibration value and being determined by referring to said uncorrected calibration curve;

d) determining a non-linear function of the corrected calibration curve by plotting said estimated point with the coordinates of said calibrators;

comparing the measured value of the analyte to the corrected calibration curve; and

,

obtaining a corrected measured value of the analyte.

8. The method of claim 7, wherein said calibration value of said estimated point is the zero value.

9. The method of claim 8, wherein said uncorrected calibration curve is linear, and wherein said measured value is estimated by the following equation:

##EQU6## wherein;

X₀ is the measured value corresponding to the zero value of the uncorrected calibration curve;

X₁ is the calibration value of the calibrator containing the minimum content of said analyte;

Y₂ is the calibration value of the calibrator containing the next to the minimum content of said analyte;

X₁ is the measured value of the calibrator containing the minimum content of said analyte; and

X₂ is the measured value of the calibrator containing the next to the minimum content of said analyte.

10. The method of claim 7, wherein said corrected calibration curve is determined through the least squares method.

11. The method of claim 7, wherein said liquid sample is analyzed by a dry analysis process.

21. The method of claim 8, wherein said corrected calibration curve is determined through the least squares method.

22. The method of claim 9, wherein said corrected calibration curve is determined through the least squares method.

12. A method for determining a corrected measured value of an analyte in a liquid sample utilizing a calibration curve comprising the steps of:

providing a liquid sample of an analyte;

analyzing the sample to determine a measured value of the analyte;

preparing a corrected calibration curve by;

a) subjecting n calibrators, n is an integer and is greater than 2, containing varying known amounts of the analyte to assay in the same process for the quantitative analysis of the analyte so as to obtain the measured values of said n calibrators, said varying known amounts of analyte being referred to as the calibration values of said calibrator;

b) determining a linear function of a first uncorrected calibration curve using pairs of coordinates of the calibration values and the measured values of said n calibrators excluding a pair of coordinates having the minimum of the calibration value and measured value;

c) estimating a first point on said first uncorrected calibration curve, said first point having a coordinate of the first calibration value and first measured value, the first calibration value being selected to be larger than the uppermost value of said calibration values of said n calibrators but not above the upper limit of a determination range for said analyte, the first measured value corresponding to said first calibration value and being determined by referring to said first uncorrected calibration curve;

d) determining the linear function of a second uncorrected calibration curve using pairs of coordinates of the calibration values and the measured values of said n calibrators excluding a pair of coordinates having the maximum of the calibration value and measured value;

e) estimating a second point on said second uncorrected calibration curve, said second point having a coordinate of the second calibration value and second measured value, the second calibration value being selected to be smaller than the lowermost value of said calibration values of said n calibrators but not below the lower limit of the determination range of said analyte, the second measured value corresponding to said second calibration value and being determined by referring to said second uncorrected calibration curve;

f) determining a non-linear function of the corrected calibration curve by plotting said first and second estimated points with the coordinates of said calibrators;

comparing the measured value of the analyte to the corrected calibration curve; and

,

obtaining a corrected measured value of the analyte.

13. The method of claim 12, wherein said first calibration value is the upper limit value of the determination range.

14. The method of claim 13, wherein said first uncorrected calibration curve is linear, and wherein said first measured value is estimated by the following equation:

##EQU7## wherein;

X_max is the first measured value at the upper limit of the determination range;

Y_max is the first calibration value which is the upper limit of the determination range;

Y_n is the calibration value of the calibrator containing the maximum content of said analyte;

Y_n-1 is the calibration value of the calibrator containing the next to the maximum content of said analyte;

X_n is the measured value of the calibrator containing the maximum content of said analyte; and

X_n-1 is the measured value of the calibrator containing the next to the maximum content of said analyte.

15. The method of claim 12, wherein said second calibration value is the zero value.

16. The method of claim 15, wherein said second uncorrected calibration curve is linear, and wherein said second measured value is estimated by the following equation:

##EQU8## wherein;

X₀ is the second measured value corresponding to the zero value of the second uncorrected calibration curve;

Y₁ is the calibration value of the calibrator containing the minimum content of said analyte;

Y₂ is the calibration value of the calibrator containing the next to the minimum content of said analyte;

X₁ is the measured value of the calibrator containing the minimum content of said analyte; and

X₂ is the measured value of the calibrator containing the next to the minimum content of said analyte.

17. The method of claim 12, wherein said corrected calibration curve is determined through the least squares method.

18. The method of claim 12, wherein said liquid sample is analyzed by a dry analysis process.

23. The method of claim 13, wherein said corrected calibration curve is determined through the least squares method.

24. The method of claim 14, wherein said corrected calibration curve is determined through the least squares method.

25. The method of claim 15, wherein said corrected calibration curve is determined through the least squares method.

26. The method of claim 16, wherein said corrected calibration curve is determined through the least squares method.