Multiple time windows with associated calibration curves for extending the range of an assay
09594088 ยท 2017-03-14
Assignee
Inventors
Cpc classification
Y10T436/115831
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
International classification
Abstract
Disclosed is a use of reaction kinetics to generate multiple dose-response curves from a single reaction, thus eliminating the need to run a second experiment with additional sample, reagents, and time to cover a broader measuring range than is available in a standard assay. Using a single protocol, the differences in the reaction kinetics for different sample concentrations yield different responses at different measurement times. Selection of the appropriate dose-response curve cross-section increases the measuring range and accuracy of the assay from a single reaction without substantially increasing imprecision. Several overlapping dose-response curves are pieced together to provide a standard curve to ensure continuity throughout the expanded measuring range.
Claims
1. A method for extending the range of a single assay and for measuring an analyte level of the assay based on a time-variant signal reflecting a dynamic response level in an instrument, the method comprising: using a first calibration curve representative of analyte level and response level of the assay at a first time point subsequent to initiation of the assay to generate the analyte level if a signal strength corresponds to a predefined signal level for the first time point; and if the signal strength fails to correspond to the predefined signal level for the first time point, then using a second calibration curve representative of analyte level and response level of the assay at a second time point subsequent to the first time point to estimate the analyte level if the signal strength corresponds to a predefined signal level for the second time point.
2. A method for measuring a level of an analyte using a plurality of calibration curves, each calibration curve associated with at least one threshold in regard to a single reaction at a corresponding plurality of fixed time points after initiation of the single reaction, the method comprising: determining whether a first condition is met based on comparing a measured signal level with a first predetermined threshold associated with a first calibration curve from the plurality of calibration curves is satisfied at a first time point subsequent to initiation of the reaction, in which the first calibration curve is representative of signal levels and corresponding analyte levels at the first time point, and if the first condition is satisfied then using the first calibration curve to generate a first measured value for the level of the analyte; and determining whether a second condition is met based on comparing a measured signal level at a second time of the reaction with a second predetermined threshold associated with a second calibration curve from the plurality of calibration curves at the second time point.
3. The method of claim 2, wherein if more than one calibration curve from the plurality of calibration curves are available for measuring the level of the analyte, due to thresholds corresponding to each of the more than one calibration curve being satisfied at corresponding time points of the single reaction, then using an average of analyte levels corresponding to each of the available calibration curves as the measured level of the analyte.
4. The method of claim 3, wherein the average is a weighted average of the analyte levels of the available calibration curves.
5. The method of claim 2, wherein the first condition requires that a signal corresponding to the level of the analyte exceed the first threshold.
6. The method of claim 2, wherein the first condition requires that a signal corresponding to the level of the analyte be less than the first threshold.
7. The method of claim 2, wherein the first condition requires that a signal corresponding to the level of the analyte be equal to the first threshold.
8. The method of claim 2, wherein the second condition requires that a signal corresponding to the level of the analyte exceed the second threshold.
9. The method of claim 2, wherein the second condition requires that a signal corresponding to the level of the analyte be less than the second threshold.
10. The method of claim 2, wherein the second condition requires that a signal corresponding to the level of the analyte be equal to the second threshold.
11. A method for scheduling a test in a clinical analyzer supporting an extended range, the method comprising the steps of: initiating the test using a reaction mix; determining a first signal strength from the reaction mix at a first predefined time point after initiating the test; determining whether there is a suitable first calibration curve corresponding to the first predefined time point by comparing the determined first signal strength with a first predetermined threshold signal level of the first calibration curve, wherein the first calibration curve is suitable if the determined first signal strength at least equals the first predetermined threshold signal level; scheduling, if there is no suitable first calibration curve, a second predefined time point after initiating the test for determining a second signal strength from the reaction mix; determining, at the second predefined time point, the second signal strength; identifying a second calibration curve corresponding to the second predefined time point and determining if the second calibration curve is suitable by comparing the determined second signal strength with a second predetermined threshold signal level of the second calibration curve; and determining a level of an analyte from one or more of the first signal strength and second signal strength.
12. A diagnostic clinical analyzer supporting an extended range comprising a scheduler for implementing the reading of a signal at a time point following initiation of a single assay, the time point of the assay having a corresponding calibration curve selected from a plurality of calibration curves, wherein a determination is made by the analyzer as to the suitability of at least one said calibration curve based on the read signal as compared to a threshold signal of the corresponding calibration curve at time points of the assay.
13. A method for scheduling a test in a clinical analyzer supporting an extended range, the method comprising the steps of: initiating the test using a reaction mix; measuring a signal strength from the reaction mix at a first time point subsequent to the initiation of the test selected from a plurality of time points subsequent to initiating the test; determining analyte level using a first calibration curve corresponding to the first time point for measuring the signal strength, the first calibration curve being representative of signal strength corresponding to analyte values at the first time point and in which the measured signal strength is compared to a predetermined threshold signal strength value; scheduling, if there is no corresponding calibration curve, a second time point subsequent to the initiation of the test for determining a second signal strength from the reaction mix; and determining analyte level using a second calibration curve corresponding to the second time point for measuring the signal strength.
14. The test scheduling method of claim 13 further comprising the step of scheduling multiple time points subsequent to the initiation of the test for measuring analyte levels using corresponding calibration curves.
15. The test scheduling method of claim 14, wherein a reported analyte level is a mean of measured analyte levels.
16. The test scheduling method of claim 15, wherein the reported analyte level is a weighted mean of measured analyte levels.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION
(21) When measuring an analyte, one obtains a signal from a reaction mix incubated for a predefined time. This signal, measured during a specified time window, is converted into the level or concentration of the analyte using a calibration curve. Instead of using a physical curve, many implementations provide parameters defining the calibration curvesuch as the slope and intercept of a line together with the range over which such parameters should be relied upon. One approach for accurately estimating the analyte is to use a linear calibration curve or a piecewise linear calibration curve. However, many regions of the calibration curve are still not suitable for inferring the analyte concentration with sufficient accuracy. As a result a range of measurements possible on an instrument is defined by the accuracy with which a measurement can be made using its calibration curve.
(22) Varying the sample concentration, for instance by diluting it, may allow readings to be obtained that are within the range of the instrument. However, this requires carrying out another reaction with measurements associated with it.
(23) This disclosure of techniques for extending the range of an instrument without requiring another reaction by employing two or more calibration curves also includes a procedure to dynamically select the appropriate calibration curve.
(24) This limited measuring range is typically due to the shape of the response function, or due to the lack of fit of the calibration model, or due to another restrictive means. The end result is that the possible measuring range is limited unless another reaction is carried out with some varied parameters to change the characteristic response shape to allow measurement over a different range in the customary time window. The current disclosure provides two or more response curves from a single reaction to expand the possible range of measurements. This is accomplished by making measurements from a single reaction in two or more time windows.
(25) The disclosed model concept is described using simulated reaction kinetics (Table 1,
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In practice, the mathematical curve fitting model selected does not detract from the teachings of the disclosure. In the simulation shown in
(27) The curves in
(28) For instance, the kinetic curve in
(29) TABLE-US-00001 TABLE 1 Logit/Log4 Parameters for the Simulated Reaction Kinetics .sub.0 .sub.1 .sub.2 .sub.3 Conc. Arbitrary units (au) 0 0.75 5 4 2.19 0 0.75 5 2 4.78 0 0.75 5 1.9 5.19 0 0.75 5 1.8 5.69 0 0.75 5 1.6 7.06 0 0.75 5 1.4 9.34 0 0.75 5 1.2 13.56 0 0.75 5 1 22.83 0 0.75 5 0.9 32.32 0 0.75 5 0.8 49.91 0 0.75 5 0.7 87.06 0 0.75 5 0.6 183.77 0 0.75 5 0.5 521.34 0 0.75 5 0.45 1044.77 0 0.75 5 0.4 2491.14
(30) In accordance with this disclosure, combining two or more calibration curves, each corresponding to a different time window post initiation of the reaction allows measurements to be made from the same reaction mix to cover a far broader range of analyte measurements than what was possible otherwise. For the simulated curves in the above example, the desire to cover the measuring range from 2-2500 au cannot be accomplished by a single dose-response curve. However, by collecting readings at 20 sec and 3000 sec from the same reaction mix after the reaction has been initiated and combining the two dose-response curves to evaluate any unknown within the measuring range between 2-2500 au extends the range.
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(32) Specifically, the 20 sec calibration curve spans the range from 2-40 au, and the 3000 sec calibration curve spans the range from 30-2500 au. The two curves overlap between 30-40 au. The combination of these two calibration curves spans the entire range with an overlap region between 30-40 au. The overlap of the calibration curves facilitates a cross-over from one calibration curve to the other since when creating the calibration curves, test samples in this range can be read post initiation of the reaction at 20 seconds and 3000 seconds to ensure consistency and continuity.
(33) The cross-over region provides a link for switching between the appropriate calibration curves. A desirable cross-over region ensures that the calibration curves consistently cover the entire measuring range.
(34) In addition, the process of selecting the appropriate calibration curve can be automated. This makes the use of multiple calibration curves and measurement time windows no different than a single measurement time and a single calibration curve to an operator of a clinical diagnostic analyzer. A suitable clinical analyzer may be programmed to perform like a machine that is using a single calibration curve even though in practice multiple calibration curves corresponding to different observation time points are being used. Such a machine includes computer executable instructions that allow suitable incubation times, queuing, resource allocation in general to make possible the use of multiple calibration curves in evaluating an unknown sample of interest.
(35) In another aspect, the time windows for observation may be selected to ensure a desired degree of accuracy. Thus, by combining several calibration curves, a desired degree of accuracy may be obtained in many instances where the signal does not vary as a linear function of the starting analyte concentration.
(36) There are multiple ways to generate two overlapping calibration curves. Table 2 shows one such possible method using the Logit/Log 4 function, which requires a minimum of four calibrators to define the calibration function. In a preferred embodiment, there is at least one calibrator (also called a standard) common to both calibration curves to assist with a smooth transition from one calibration curve to another.
(37) TABLE-US-00002 TABLE 2 Calibrator Level 20 sec. Calibrators 3000 sec. Calibrators 1 2 au 2 5 au 3 12 au 12 au 4 35 au 35 au 5 250 au 6 1000 au 7 2500 au
(38) Some exemplary methods for selecting which calibration curve to use for the determination of an unknown analyte concentration are illustrated next. The following exemplary example illustrates possible rules for using the two calibration curves shown in
EXAMPLE
(39) An inversely proportional clinical chemistry assay has a standard protocol to measure the response 161.5 seconds after the addition of the last reagent. In this example, the protocol was altered to measure responses at 9.5 seconds, 161.5 seconds, and 275.5 seconds in a single reaction cuvette after the addition of the last reagent to enable the evaluation of both the dual dose-response curve model and the standard assay protocol model. In the description that follows, the response measured at 9.5 seconds after reagent addition is called the Early dose, the response measured at 161.5 seconds after reagent addition is called the Standard dose, and the response measured at 275.5 seconds after reagent addition is called the Late dose. The early dose and the late dose calibration curves are combined in to form the Dual dose-response.
(40) Seven calibrators were run in the experiment and used to calibrate the three separate dose-response curves as specified in Table 3. As described above in the necessary requirements for the multiple dose-response model, the early and late dose-response curves share at least one calibrator in the cross-over region to cover the entire measuring range in a continuous manner. In this particular example, the early and late dose-response curves share two calibrators in common (0.449 g/dL and 0.84 g/dL) to assist in the cross-over region between the early and late dose-response curves.
(41) TABLE-US-00003 TABLE 3 Calibrator Calibrator Level Concentration (g/dL) Std. Assay Early Dose Late Dose 1 0 X X 2 0.217 X 3 0.449 X X X 4 0.84 X X X 5 1.447 X X 6 2.083 X X 7 2.604 X X
(42) In addition to the calibrators, multiple fluids that span the measuring range from 0.2-2.6 g/dL were run in triplicate to demonstrate the true shape of the dose-response curve for each of the three different protocols, which are shown in
(43) Each of the three dose-response curves was calibrated using the Logit/Log 4 calibration model (Equation 1) with calibrator levels indicated in Table 3. The Logit/Log 4 calibration curves for the three response times are shown with fine broken lines corresponding to the Early calibration curve, the solid line to Standard calibration curve and the rough broken line corresponding to the Late calibration curve in
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(45) A benefit of the current disclosure is the extended measuring range and the enhanced precision and accuracy. The extended measuring range has been qualitatively described above based on the curvature of the calibration curves seen in
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(47) TABLE-US-00004 TABLE 4 Reference Early Dose Late Dose Std. Assay Dual Dose Conc. Conc. Conc. Conc. Conc. Sample ID (g/dL) (g/dL) (g/dL) (g/dL) (g/dL) 1 0 0.016 0.447 0.209 0.016 2 0.022 0.049 0.423 0.270 0.049 3 0.096 0.125 0.367 0.207 0.125 4 0.217 0.217 ME* 0.316 0.217 5 0.296 0.288 0.323 0.357 0.288 6 0.449 0.449 0.455 0.469 0.449 7 0.566 0.572 0.638 0.576 0.572 8 0.723 0.752 0.739 0.713 0.752 9 0.840 0.840 0.836 0.830 0.840 10 1.042 0.950 1.026 1.035 1.026 11 1.302 1.052 1.291 1.341 1.291 12 1.447 1.080 1.453 1.473 1.453 13 1.730 1.122 1.736 1.725 1.736 14 2.083 1.169 2.048 2.069 2.048 15 2.411 1.192 2.397 2.358 2.397 16 2.604 1.204 2.668 2.538 2.668 *MEMechanical Errorno result reported
(48) Besides the improvement in accuracy throughout the measuring range enabled by the dual dose-response model, see, e.g.,
(49) The dual dose-response model offers a larger signal range throughout the measuring range compared to the signal for the standard model. Table 5 shows the nearly 50% increase in OD range for the dual dose-response model over the standard dose-response model. This causes a dramatic improvement in the precision at low levels of analyte as described above.
(50) The expanded OD range further accompanies improvements in the accuracy of the dose-response curve slope at both lower and higher analyte concentrations, as is shown in
(51) TABLE-US-00005 TABLE 5 Concentration Standard Standard Dose Dual Dual Dose Range Dose OD Range Dose OD Range 0-0.84 g/dL 0.73-0.47 0.26 0.61-0.14 0.47 0.84-2.6 g/dL 0.47-0.1 0.37 0.58-0.13 0.45 0-2.6 g/dL 0.63 0.92
(52) TABLE-US-00006 TABLE 6 Single Dose Dual Dose Slope 0.036 0.074 (2.4-2.6 g/dL)
(53) Although there is great flexibility in using the more than two dose-response curves as described herein, the measuring range of most processes of interest are fairly narrow that they can be covered with two different dose-response curves. The preferred mode therefore uses two calibration curves. In addition, in the preferred embodiment calibrators are shared in generating the dose-response curves by the simple modicum of reading the same calibrator at two different times, which limits the total number of calibrators required to generate the dose-response curves. This further reduces the time and cost of the calibration itself.
(54) Preferably, the cross-over point is at or very near one of the common calibrator concentrations to ensure a continuous predicted concentration between the two different dose-response curves. The continuity is also enhanced when there is a substantial cross-over region where both calibration curves provide essentially the same measured levels of the analyte regardless of the time window used.
(55) Many alternative mathematical models (other than Logit/Log 4) could be used to describe the calibration curves. The preferred models need not be changed from those that are known to work well for the single dose-response model already in use in the field. Some examples of mathematical models for describing the multiple dose-response curves are linear, polynomial, cubic spline, Logit/Log 4, and Logit/Log 5.
(56) A Scheduler is the brains making the analyzer subsystems work together. The Scheduler performs scheduling functions, for instance, to allocate resources to samples input in any order, without regard to the type or quantity of tests required, and to maintain or improve the throughput of the analyzer. The Scheduler ensures that samples are accepted from an input queue as resources are reserved for the various expected tests or steps relevant to a particular sample. Unless the required resources are available, a sample continues to be in the input queue. In a preferred analyzer model, the sample is aspirated and then sub-samples are taken from this aspirated volume for various tests. The operation of the Scheduler together with the types of tests supported by the analyzer provides a reasonably accurate description of an analyzer under consideration.
(57) A preferred Scheduler includes the synergistic effects of two-dimensional random access to the input samples while providing access to resources including, for example, multiple platforms, supply of consumables including thin film slides, reaction vessels and cuvettes, along with a plurality of sensiometric devices such as electrometers, reflectometers, luminescence, light transmissivity, photon detection, an incubator for heating the samples, a supply of reagents, and a plurality of reagent delivery subsystems, all of which can be accessed and used readily.
(58) Implementing
(59) For implementing the multiple calibration curves in a clinical diagnostic analyzer, such as the one illustrated in
(60) Turning to
(61) Similarly, in
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(67) Many of the limitations on the measuring range of diagnostic and other tests can be overcome by implementing the multiple dose-response model of this disclosure. The description herein shows the enhancements to extend the measuring range, and the example shows the theoretical model put into practice with a real improvement for increased measuring range for the assay described. In addition to the extended measuring range, the disclosure also demonstrates an improvement in the test method precision due to the increased response range and in the test method accuracy due to the improved fitting of the calibration curve. By the improvements offered from the multiple dose-response model, the shortcomings on the measuring range and precision from current model have been eliminated.
(68) One skilled in the art will appreciate that the above disclosure is susceptible to many variations and alternative implementations without departing from its teachings or spirit. The scope of the claims appended below includes such modifications. Further, each reference discussed and cited herein is hereby incorporated herein by reference in its entirety.