CN114019114B - Standard curve generation method and device, analysis equipment and readable storage medium - Google Patents
Standard curve generation method and device, analysis equipment and readable storage medium Download PDFInfo
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Abstract
The application discloses a standard curve generation method, a standard curve generation device, analysis equipment and a readable storage medium, wherein the method comprises the following steps: acquiring zero-point related data and target value related data; determining a base curve using a first interpolation method based on the zero-point correlation data and the target-value correlation data, and optimizing the base curve using a second interpolation method to obtain the standard curve. The application can effectively reduce the standard curve error, avoid the oscillation phenomenon, and further improve the measurement accuracy of the analysis equipment.
Description
Technical Field
The present invention relates to the field of analysis devices, and in particular, to a method and an apparatus for generating a standard curve, an analysis device, and a readable storage medium.
Background
Existing analytical devices typically require that a standard curve for the instrument be determined prior to use, to evaluate the acceptability of the instrument based on the standard curve for the instrument, or, in use, to determine the concentration of the substance to be detected based on the standard curve for the instrument. In general, the standard curve is determined by target value data corresponding to the analysis device, that is, the standard curve is generated based on the obtained target value data by a linear interpolation or a non-linear interpolation method.
However, the existing standard curve generated by a single interpolation method based on the obtained target data and the zero point data of the instrument has a shaking phenomenon, that is, the error at the edge of the interpolation interval may be very large. Further, the standard curve has errors, which seriously affects the measurement accuracy of the analysis equipment.
Disclosure of Invention
In view of the above problems, the present application provides a method and an apparatus for generating a standard curve, an analysis device, and a readable storage medium, so as to reduce the error of the standard curve and improve the measurement accuracy of the analysis device.
In a first aspect, an embodiment of the present application provides a method for generating a standard curve, where the method includes:
acquiring zero-point related data and target value related data;
determining a base curve using a first interpolation method based on the zero-point correlation data and the target-value correlation data, and optimizing the base curve using a second interpolation method to obtain the standard curve.
The standard curve generating method according to the embodiment of the present application, where the target value-related data includes a plurality of target value concentrations and a plurality of target value signal values corresponding to the plurality of target value concentrations, and the determining a basic curve by using a first interpolation method based on the zero point-related data and the target value-related data and optimizing the basic curve by using a second interpolation method to obtain the standard curve includes:
determining a zero point coordinate according to the zero point related data, wherein the zero point coordinate comprises a zero point concentration and a zero point signal value corresponding to the zero point concentration;
forming an nth target value coordinate according to the nth target value concentration and an nth target value signal value corresponding to the nth target value concentration, wherein N is more than or equal to 1 and less than or equal to N, and N is the total number of the target value coordinates;
determining the base curve by the first interpolation method based on the zero point coordinates and the N target value coordinates, and optimizing the base curve by the second interpolation method to obtain the standard curve.
In the method for generating a standard curve according to the embodiment of the present application, the N target value coordinates are sequentially arranged from small to large according to the target value concentration, the first interpolation method is a cubic spline interpolation method, the second interpolation method is a linear interpolation method, the basic curve is determined by using the first interpolation method based on the zero point coordinate and the N target value coordinates, and the basic curve is optimized by using the second interpolation method to obtain the standard curve, including:
inserting a plurality of initial interpolation coordinates between the zero point coordinates and the N target value coordinates by using the cubic spline interpolation method;
determining the base curve according to the zero point coordinate, the N target value coordinates and the plurality of initial interpolation coordinates;
and optimizing a curve segment corresponding to the zero point coordinate and the first target value coordinate in the basic curve by using the linear interpolation method to obtain the standard curve, and/or determining an epitaxial curve based on the (N-1) th target value coordinate and the Nth target value coordinate by using the linear interpolation method to optimize the basic curve based on the epitaxial curve to obtain the standard curve.
The standard curve generating method according to the embodiment of the present application, the inserting a plurality of initial interpolation coordinates between the zero point coordinate and the N target value coordinates by using the cubic spline interpolation method, includes:
determining cubic interpolation functions corresponding to intervals formed by every two adjacent points in the zero point coordinates and the N target value coordinates according to preset boundary conditions;
and carrying out cubic spline interpolation on the ith interval corresponding to the ith cubic interpolation function to obtain a plurality of initial interpolation coordinates, wherein i is more than or equal to 1 and less than or equal to N.
In the method for generating a standard curve according to the embodiment of the present application, the N target value coordinates are sequentially arranged from small to large according to the target value concentration, the first interpolation method is a cubic spline interpolation method, the second interpolation method is a linear interpolation method, the basic curve is determined by using the first interpolation method based on the zero point coordinate and the N target value coordinates, and the basic curve is optimized by using the second interpolation method to obtain the standard curve, including:
inserting a plurality of first interpolation coordinates between the N target value coordinates by utilizing the cubic spline interpolation method, and determining the basic curve according to the N target value coordinates and the plurality of first interpolation coordinates;
inserting a plurality of second interpolation coordinates between the zero point coordinate and the first target value coordinate by using the linear interpolation method, and determining a starting curve according to the zero point coordinate, the first target value coordinate and the plurality of second interpolation coordinates; and/or determining a linear interpolation function corresponding to the (N-1) th target value coordinate and the Nth target value coordinate by using the linear interpolation method so as to determine an extension curve according to the linear interpolation function;
optimizing the base curve according to the start curve and/or the extension curve to determine the standard curve.
The standard curve generation method according to the embodiment of the present application, where the optimizing the basic curve according to the initial curve and/or the epitaxial curve to determine the standard curve includes:
optimizing said base curve by stitching said first target value coordinate of said start curve with said first target value coordinate of said base curve to obtain said standard curve; or the like, or, alternatively,
optimizing the base curve by stitching the Nth target value coordinate of the extension curve and the N target value coordinates of the base curve to obtain the standard curve; or the like, or, alternatively,
optimizing the base curve by stitching the first target value coordinate of the start curve with the first target value coordinate of the base curve, and stitching the nth target value coordinate of the extension curve with the N target value coordinates of the base curve to obtain the standard curve.
The standard curve generating method according to the embodiment of the present application, where the inserting a plurality of first interpolation coordinates between the N target value coordinates by using the cubic spline interpolation method includes:
determining cubic interpolation functions corresponding to intervals formed by every two adjacent points in the N target value coordinates according to preset boundary conditions;
and performing cubic spline interpolation on the corresponding kth interval by using the kth cubic interpolation function to obtain a plurality of first interpolation coordinates, wherein k is more than or equal to 1 and less than or equal to N-1.
In the method for generating a standard curve according to the embodiment of the present application, the boundary condition includes:
the second derivative of the cubic interpolation function corresponding to the first interval at the left end coordinate point of the first interval is equal to zero;
and the second derivative of the cubic interpolation function corresponding to the last interval at the right-end coordinate point of the last interval is equal to zero.
The standard curve generating method according to the embodiment of the present application, where the zero-point related data includes a plurality of zero-point detection coordinates, and determining the zero-point coordinates according to the zero-point related data includes:
arranging the zero detection coordinates in sequence according to the sequence of zero detection signal values from small to large or from large to small;
taking a zero point detection coordinate located at a middle position as the zero point coordinate under the condition that the zero point related data comprises odd zero point detection coordinates;
and under the condition that the zero-point related data comprises even zero-point detection coordinates, calculating the zero-point coordinates according to the two zero-point detection coordinates positioned at the middle position.
The standard curve generation method according to the embodiment of the present application further includes:
determining monotonicity of the generated basic curve in real time in the process of generating the basic curve;
and when the generated basic curve does not meet monotonicity, immediately stopping the generation of the basic curve and giving an alarm prompt.
In a second aspect, a second embodiment of the present application provides a standard curve generating apparatus, including:
the data acquisition module is used for acquiring zero-point related data and target value related data;
and the curve generation module is used for determining a basic curve by utilizing a first interpolation method based on the zero-point related data and the target value related data and optimizing the basic curve by utilizing a second interpolation method to obtain the standard curve.
In a third aspect, a third embodiment of the present application provides an analysis apparatus, which includes a memory and a processor, where the memory stores a computer program, and the computer program executes the standard curve generation method according to the embodiment of the present application when running on the processor.
In a fourth aspect, a fourth embodiment of the present application is a readable storage medium storing a computer program, which when executed on a processor performs the standard curve generation method according to the embodiment of the present application.
According to the standard curve generation method, zero-point related data and target value related data are obtained; and determining a basic curve by using a first interpolation method based on the zero-point related data and the target value related data, and optimizing the basic curve by using a second interpolation method to obtain the standard curve, so that the error of the standard curve can be effectively reduced, the oscillation phenomenon is avoided, and the measurement precision of the analysis equipment is improved.
Drawings
In order to more clearly illustrate the technical solution of the present invention, the drawings required to be used in the embodiments will be briefly described below, and it should be understood that the following drawings only illustrate some embodiments of the present invention, and therefore should not be considered as limiting the scope of the present invention. Like components are numbered similarly in the various figures.
Fig. 1 is a schematic flow chart illustrating a method for generating a standard curve according to an embodiment of the present disclosure;
fig. 2 is a schematic flow chart illustrating a specific generation manner in a standard curve generation method according to an embodiment of the present disclosure;
fig. 3 shows a schematic flow chart of a first-segment alternative generation manner in a standard curve generation method proposed in the embodiment of the present application;
fig. 4 shows a schematic flow chart of a first segment splicing type generation manner in the standard curve generation method proposed in the embodiment of the present application;
fig. 5 is a schematic structural diagram of a standard curve generating apparatus according to an embodiment of the present application;
fig. 6 shows a schematic structural diagram of a terminal device according to an embodiment of the present application.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments.
The components of embodiments of the present invention generally described and illustrated in the figures herein may be arranged and designed in a wide variety of different configurations. Thus, the following detailed description of the embodiments of the present invention, presented in the figures, is not intended to limit the scope of the invention, as claimed, but is merely representative of selected embodiments of the invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the present invention without making any creative effort, shall fall within the protection scope of the present invention.
Hereinafter, the terms "including", "having", and their derivatives, which may be used in various embodiments of the present invention, are only intended to indicate specific features, numbers, steps, operations, elements, components, or combinations of the foregoing, and should not be construed as first excluding the existence of, or adding to, one or more other features, numbers, steps, operations, elements, components, or combinations of the foregoing.
Furthermore, the terms "first," "second," "third," and the like are used solely to distinguish one from another and are not to be construed as indicating or implying relative importance.
Unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which various embodiments of the present invention belong. The terms (such as those defined in commonly used dictionaries) should be interpreted as having a meaning that is consistent with their contextual meaning in the relevant art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein in various embodiments of the present invention.
Example 1
Referring to fig. 1, an embodiment of the present application provides a method for generating a standard curve, which can be applied to an analysis device, and can effectively reduce an error of the standard curve and improve measurement accuracy of the analysis device. Wherein, the analysis device can be an in vitro detection analyzer. By way of example, the analysis device may be: biochemical analyzers, immunoassay analyzers, saccharification analyzers, liquid chromatographs, and the like, which require standard curve generation. Wherein, the immunity analyzer can be an electrochemical luminescence analyzer or a chemiluminescence analyzer.
Illustratively, the standard curve generation method comprises the following steps S100-S200:
and step S100, acquiring zero-point related data and target value related data.
Wherein the zero-point-related data includes a plurality of zero-point detection signal values obtained by the analysis device measuring the test sample of zero concentration a plurality of times.
It can be understood that since the zero-concentration test sample is zero in concentration and the zero-point detection signal value of the analysis device is low, the zero-point detection signal is very easy to fluctuate and is unstable, so that the analysis device can be used for measuring the zero-concentration test sample for multiple times to obtain multiple zero-point detection signal values, and the standard zero-point signal value can be determined based on the multiple zero-point detection signal values to reduce the zero-point error of a single measurement.
The target value related data comprises a plurality of target value concentrations and target value signal values corresponding to the plurality of target value concentrations.
It will be appreciated that each analysis device has its own corresponding target value, which may be recorded in instructions for use of the instrument, for example, an analysis device for detecting blood concentration, a plurality of blood concentrations, an analysis device for detecting body fluid concentration, a plurality of body fluid concentrations, an analysis device for detecting interstitial fluid concentration, and a plurality of interstitial fluid concentrations.
By detecting a corresponding plurality of target value concentrations with the analytical device, an instrument detection signal corresponding to each target value concentration can be determined, and the instrument detection signal for each target value concentration can be recorded as a target value signal value.
And S200, determining a basic curve by using a first interpolation method based on the zero-point related data and the target value related data, and optimizing the basic curve by using a second interpolation method to obtain a standard curve.
In this embodiment, considering that all interpolation methods have oscillation phenomena (i.e., the error between the zero point of the instrument and the first target value may be large, and the error from the last target value to the right may be large), the relationship that the concentration gradient and the corresponding signal value in the standard curve generated each time should satisfy the monotonic increase cannot be satisfied, and the measurement error of the instrument is large near the zero point of the analysis device. In practical applications, since most of the samples to be detected corresponding to the analysis devices are negative samples, that is, signal values close to zero point, if the error of the analysis device at the zero point is large, misdiagnosis of the disease of the patient by the doctor may be caused.
Therefore, in the present embodiment, the base curve is determined by the first interpolation method based on the zero-point correlation data and the target value correlation data, and the base curve is optimized by the second interpolation method to obtain the standard curve, and compared with the case where the standard curve is obtained by only one interpolation method, the present embodiment can optimize the first segment (the line segment between the zero point and the minimum target value) and the tail end (the line segment other than the target value data) of the base curve by the second interpolation method, and effectively reduce the errors of the first segment (the line segment between the zero point and the minimum target value) and the tail end (the line segment other than the target value data). The first interpolation method may be a cubic spline interpolation method, a piecewise linear interpolation, a monotonous cubic spline interpolation method, or the like.
The second interpolation method may be a linear interpolation method, a cubic spline interpolation method, a piecewise linear interpolation, a monotonous cubic spline interpolation method, or the like.
For example, a curve corresponding to target value-related data may be determined by a cubic spline interpolation method, a piecewise linear interpolation method, or a monotonous cubic spline interpolation method, a curve between a zero point and a minimum target value may be determined by a linear interpolation method, a cubic spline interpolation method, a piecewise linear interpolation method, or a monotonous cubic spline interpolation method, and a curve other than target value data may be determined by a linear interpolation method, a cubic spline interpolation method, a piecewise linear interpolation method, or a monotonous cubic spline interpolation method.
Preferably, in this embodiment, the first interpolation method selects a cubic spline interpolation method, the second interpolation method selects a linear interpolation method, and this embodiment determines a curve from zero to a first target point (minimum target point) by using linear interpolation, and an extension curve to the right of the maximum target point is determined based on a linear interpolation function corresponding to the maximum target point and a penultimate large target point adjacent to the maximum target point, so that monotonicity of a generated standard curve can be ensured, a measurement error near the zero of an instrument can be reduced, and accuracy of a negative and positive detection result can be improved. In addition, compared with the existing monotonicity cubic spline algorithm, the complexity of the linear interpolation method and the cubic spline interpolation method is obviously reduced, and the method is easy to realize in embedded equipment.
For example, referring to fig. 2, the step S200 may include the following steps S210, S220, and S230:
and step S210, determining zero point coordinates according to the zero point related data, wherein the zero point coordinates comprise zero point concentrations and zero point signal values corresponding to the zero point concentrations.
In this embodiment, in an embodiment of determining the zero point coordinate, an average value may be calculated based on a plurality of zero point detection signal values of a plurality of zero point detection coordinates in the zero point-related data, and the average value may be used as the zero point signal value of the zero point coordinate.
However, when there is a large fluctuation of one or several zero-point detection signal values among the plurality of zero-point detection signal values, determining the zero-point signal value by using the average value will result in a large error of the zero-point signal value, and in order to reduce the influence of the zero-point detection signal value with a large fluctuation on the zero-point signal value, in this embodiment, in another implementation of determining the zero-point coordinates, the plurality of zero-point detection coordinates in the zero-point related data may be arranged in order from the small zero-point detection signal value to the large zero-point detection signal value or from the large zero-point detection signal value to the small zero-point detection signal value; taking a zero point detection coordinate positioned at the middle position as a zero point coordinate under the condition that the zero point related data comprises odd zero point detection coordinates; and under the condition that the zero-point related data comprises even zero-point detection coordinates, calculating the zero-point coordinates according to the two zero-point detection coordinates positioned at the middle position, namely calculating the average value of two zero-point detection signal values in the two zero-point detection coordinates, and taking the coordinates formed by the average value and the zero-point concentration as the zero-point coordinates.
Illustratively, taking the example that 5 zero-point detection signal values are obtained by repeatedly measuring the zero-point concentration for 5 times, taking the median corresponding to the 5 zero-point detection signal values as the zero-point signal value of the analysis device, and even if the remaining four zero-point detection signal values have large fluctuation, the zero point finally output by the analysis device will not be affected as long as the median does not have large fluctuation; and the zero point of the analysis equipment is calculated by adopting the average value, and the zero point finally output by the analysis equipment is influenced as long as one zero point detection signal value in the 5 measured zero point detection signal values fluctuates, so that the zero point generated by the zero point method for determining the analysis equipment based on the average value has poor robustness, and the zero point generated by the zero point method for determining the analysis equipment based on the median has stronger robustness.
Step S220, forming an nth target value coordinate according to the nth target value concentration and the nth target value signal value corresponding to the nth target value concentration, wherein N is more than or equal to 1 and less than or equal to N, and N is the total number of the target value coordinates.
It can be understood that the target value-related data may include a plurality of target value concentrations and a plurality of target value signal values corresponding to the plurality of target value concentrations, which may be stored in a computer, an analysis device, or a hard disk in a table (Excel) form or a document form (word document).
And step S230, determining a basic curve by using a first interpolation method based on the zero point coordinates and the N target value coordinates, and optimizing the basic curve by using a second interpolation method to obtain a standard curve.
For example, referring to fig. 3, in the first-stage alternative standard curve generating method of the present embodiment, the step S230 includes the following steps S231 to S233:
step S231, a plurality of initial interpolation coordinates are inserted between the zero point coordinate and the N target value coordinates by using a cubic spline interpolation method.
In this embodiment, a cubic interpolation function corresponding to each interval formed by every two adjacent points in the zero point coordinate and the N target value coordinates may be determined according to a preset boundary condition; and performing cubic spline interpolation on the ith interval corresponding to the ith cubic interpolation function to obtain a plurality of initial interpolation coordinates, wherein i is more than or equal to 1 and less than or equal to N.
It will be appreciated that every two adjacent points in the zero point coordinate and the N target value coordinates may constitute N intervals, wherein the interval range of the first interval may be represented as [ x [ ]0，x1]，x0Is zero point concentration, x1The range of the second interval can be expressed as [ x ] for the first target value concentration at the first target value coordinate1，x2]，x2The second concentration of the target value in the second coordinate of the target value, and so on, the interval range of the Nth interval can be expressed as [ x ]N-1，xN]，xN-1Concentration of target value N-1, x, in coordinates of target value N-1NThe Nth target value concentration is the Nth target value coordinate.
Further, a cubic interpolation function of the form:
Si(x) = ai + bi(x-xi) + ci(x-xi)2 + di(x-xi)3
S’i(x) = bi + 2ci(x-xi) + 3di(x-xi)2
S’’i(x) = 2ci + 6di(x-xi)
solving the above coefficient ai、bi、ciAnd diThereafter, the ith cubic interpolation function may be determined.
Further, the boundary conditions include:
the cubic interpolation function corresponding to the first interval is arranged at the left of the first intervalThe second derivative at the end coordinate point is equal to zero, wherein the left end coordinate point of the first interval is zero concentration x0I.e. S'1(x0)=0，S’’1(x0) Indicating the zero concentration x of the first cubic interpolation function corresponding to the first interval0The second derivative of (d);
the second derivative of the cubic interpolation function corresponding to the last interval at the coordinate point at the right end of the last interval is equal to zero, namely S'N(xN)=0，S’’N(xN) The Nth target value concentration x of the Nth target value coordinate of the last cubic interpolation function corresponding to the last intervalNThe second derivative of (c).
Further, solving the above coefficient ai、bi、ciAnd diThe following formula is determined based on the boundary conditions, and then m is calculated by using the following formula0~mnIs then based on m0~mnDetermining the coefficient ai、bi、ciAnd di：
Wherein h isi=xi+1-xiI.e. h0=x1-x0，h1=x2-x1By analogy, hN-1=xN-xN-1。
Further, m is determined0~mnThen, the determination coefficient a is calculated by the following formulai、bi、ciAnd di：
It is understood that when i =0, y0Representing zero signal value, i > 0, yiRepresenting the ith target value signal value.
And step S232, determining a basic curve according to the zero point coordinate, the N target value coordinates and the plurality of initial interpolation coordinates.
And step S233, optimizing a curve segment corresponding to the zero point coordinate and the first target value coordinate in the basic curve by using a linear interpolation method to obtain a standard curve, and/or determining an extension curve based on the (N-1) th target value coordinate and the Nth target value coordinate by using a linear interpolation method to optimize the basic curve based on the extension curve to obtain the standard curve.
It can be understood that the starting point of the basic curve obtained in step S232 is the zero point coordinate, and the end point is the last target value coordinate, and considering that the standard curve obtained by the cubic spline interpolation method has oscillation phenomena near the zero point coordinate and near the last target value coordinate, which results in large errors near the zero point coordinate and near the last target value coordinate, in this embodiment, the curve segment corresponding to the zero point coordinate and the first target value coordinate in the basic curve is optimized by using the linear interpolation method, and/or the extension curve corresponding to the nth target value coordinate to the right is obtained by using the linear interpolation method to optimize the basic curve.
For example, a curve segment between the zero point coordinate and the first target value coordinate is determined by using a linear interpolation method based on the zero point coordinate and the first target value coordinate, and then the curve segment corresponding to the zero point coordinate and the first target value coordinate in the basic curve is replaced by the curve segment to obtain a standard curve, so that the oscillation phenomenon between the zero point coordinate and the first target value coordinate of the obtained standard curve can be eliminated.
Or determining an extension curve of the Nth target value coordinate to the right by utilizing a linear interpolation method based on the (N-1) th target value coordinate and the Nth target value coordinate, and splicing the extension curve and the basic curve based on the Nth target value coordinate to obtain a standard curve, wherein the oscillation phenomenon on the right side of the Nth target value coordinate of the obtained standard curve can be eliminated.
Or, a curve segment between the zero point coordinate and the first target value coordinate is determined by using a linear interpolation method based on the zero point coordinate and the first target value coordinate, the curve segment corresponding to the zero point coordinate and the first target value coordinate in the basic curve is replaced by the curve segment, an extension curve of which the Nth target value coordinate is towards the right is determined by using the linear interpolation method based on the (N-1) th target value coordinate and the Nth target value coordinate, the extension curve and the basic curve are spliced together based on the Nth target value coordinate to obtain a standard curve, and then the oscillation phenomenon between the zero point coordinate of the obtained standard curve and the first target value coordinate and the oscillation phenomenon on the right side of the Nth target value coordinate can be eliminated.
Exemplary, zero coordinates (x)0，y0) And first target value coordinate (x)1，y1) Linear interpolation is adopted, and the following equation can be established:
the above equation is then modified to yield:
and replacing the zero point coordinate (x) of the basic curve by using the line segment corresponding to the equation0，y0) And first target value coordinate (x)1，y1) The middle curve segment.
Exemplary, N-1 th target value coordinate (x)N-1，yN-1) And Nth target value coordinate (x)N，yN) Linear interpolation is adopted, and the following equation can be established:
the above equation is then modified to yield:
further using the above equation to determine the coordinate (x) of the Nth target valueN，yN) And taking the ray as the ray of the starting point, and taking the ray as an extension curve corresponding to the Nth target value coordinate to the right.
It can be understood that the extension curve beyond the target value range can be determined through the linear interpolation function extension curve corresponding to the (N-1) th target value coordinate and the Nth target value coordinate, and the expression effect of the analysis equipment outside the target value range can be obtained through the extension curve.
It can be understood that the above embodiment can generate a standard curve with higher precision, and further can effectively improve the measurement precision of the analysis device.
However, it is considered that the above-described embodiment utilizes the zero point coordinate (x) when determining the basic curve0，y0) And zero point coordinate (x)0，y0) Is not controllable, zero point coordinate (x)0，y0) The zero point error of (2) may be transmitted backward, so that the basic curve is influenced by the zero point error as a whole, and a certain slight error exists. Furthermore, in this embodiment, another optional first-segment splicing type standard curve generation manner is provided to avoid that the zero point error may be transmitted backwards.
For example, referring to fig. 4, in another first-segment splicing type standard curve generating manner of the present embodiment, the step S230 may include the following steps S234 to S236:
step S234, inserting a plurality of first interpolation coordinates between the N target value coordinates by utilizing a cubic spline interpolation method, and determining a basic curve according to the N target value coordinates and the plurality of first interpolation coordinates.
In this embodiment, a cubic interpolation function corresponding to each interval formed by every two adjacent points in the N target value coordinates may be determined according to a preset boundary condition; and performing cubic spline interpolation on the corresponding kth interval by using the kth cubic interpolation function to obtain a plurality of first interpolation coordinates, wherein k is more than or equal to 1 and less than or equal to N-1.
It is understood that, in the present embodiment, every two adjacent points in the N target value coordinates may constitute N-1 intervals, wherein the interval range of the first interval may be represented as [ x [ ]1，x2]，x1Is as followsFirst target value concentration, x, of a target value coordinate2A second target value concentration in a second interval of a second target value coordinate can be expressed as [ x [ ]2，x3]，x3The third target concentration in the third target coordinate, and so on, the interval range of the N-1 th interval can be expressed as [ x ]N-1，xN]，xN-1Concentration of target value N-1, x, in coordinates of target value N-1NThe Nth target value concentration is the Nth target value coordinate.
Further, the cubic interpolation function in the present embodiment and the coefficient determining the cubic interpolation function in the present embodiment may be constructed according to the processes of constructing the cubic interpolation function and determining the cubic interpolation function coefficient in the above embodiments, which are not described in detail in the present embodiment.
In the present embodiment, S 'is the first of the above boundary conditions'1(x1) =0, representing the interval [ x1，x2]The corresponding cubic interpolation function is in x1The second derivative of (a) is equal to zero.
It is understood that since the starting point of the basic curve in the present embodiment is different from the starting point of the basic curve in the above-described embodiment, the first one of the above-described boundary conditions changes, and further, the cubic interpolation function corresponding to each section in the present embodiment is different from the cubic interpolation function corresponding to each section in the above-described embodiment.
Step S235, inserting a plurality of second interpolation coordinates between the zero point coordinate and the first target value coordinate by using a linear interpolation method, and determining an initial curve according to the zero point coordinate, the first target value coordinate and the plurality of second interpolation coordinates; and/or determining a linear interpolation function corresponding to the (N-1) th target value coordinate and the Nth target value coordinate by using a linear interpolation method so as to determine the extension curve according to the linear interpolation function.
For example, the start curve may be determined using:
with linear interpolation between the zero point coordinate (x 0, y 0) and the first target value coordinate (x 1, y 1), the following equation can be established:
the above equation is then modified to yield:
further using the above equation to zero coordinates (x)0，y0) And first target value coordinate (x)1，y1) A plurality of second interpolation coordinates are inserted in between, and a starting curve is determined according to the zero point coordinate, the first target value coordinate and the plurality of second interpolation coordinates.
Illustratively, the epitaxial curve may be determined using:
coordinate of target value (x) at the N-1 st positionN-1，yN-1) And Nth target value coordinate (x)N，yN) Linear interpolation is adopted, and the following equation can be established:
the above equation is then modified to yield:
further, the coordinates (x) of the Nth target value can be determined by using the above equationN，yN) And taking the ray as a starting point, and taking the ray as an extension curve corresponding to the Nth target value coordinate to the right.
In step S236, the basic curve is optimized according to the initial curve and/or the extension curve to determine the standard curve.
It is understood that, in the present embodiment, the start point of the basic curve is the first target value coordinate, the end point is the last target value coordinate, the start point of the start curve is the zero point coordinate, the end point is the first target value coordinate, and the start point of the extension curve is the nth target value coordinate without the end point.
In this embodiment, if the basic curve corresponding to each target value coordinate and the initial curve are spliced to optimize the basic curve to obtain the standard curve, the oscillation phenomenon between the zero point coordinate of the obtained standard curve and the first target value coordinate can be eliminated; if the basic curve corresponding to each target value coordinate and the extension curve are spliced to optimize the basic curve to obtain a standard curve, the oscillation phenomenon on the right side of the Nth target value coordinate of the obtained standard curve can be eliminated; if the initial curve, the basic curves corresponding to the target value coordinates and the extension curve are spliced to optimize the basic curves to obtain the standard curves, the oscillation phenomenon between the zero point coordinate of the obtained standard curve and the first target value coordinate and the oscillation phenomenon on the right side of the Nth target value coordinate can be eliminated.
It should be noted that, in this embodiment, the oscillation degree of the first-segment splicing-type standard curve generation manner is smaller than that of the first-segment replacement-type standard curve generation manner, because the zero-point coordinate (x) is considered when the cubic spline interpolation manner is used to determine the basic curve in the first-segment splicing-type standard curve generation manner0，y0) The uncontrollable zero point error of the method is realized by inserting a plurality of first interpolation coordinates between the N target value coordinates by utilizing a cubic spline interpolation method, and determining a basic curve according to the N target value coordinates and the plurality of first interpolation coordinates, so that the zero point coordinate (x) is effectively avoided0，y0) The zero point error is transmitted backwards, the influence of the zero point error on the whole basic curve is avoided, and the precision of the basic curve is effectively improved. The zero point coordinate (x) is ignored in the first-segment alternative standard curve generation mode0，y0) The possibility of the zero point error of (2) being transmitted backward results in a certain error of the base curve as a whole.
It can be understood that, in this embodiment, considering that all interpolation methods (including cubic spline interpolation) have oscillation phenomena (i.e., a phenomenon that an error between an instrument zero point and a first target value may be large, and a phenomenon that an error of a last target value to the right may be large), a relationship that a concentration gradient and a corresponding signal value in a calibration curve generated each time should satisfy a monotonic increase is not satisfied, and an instrument measurement error near the instrument zero point is large. In practical application, most samples to be detected are negative samples, namely, signal values close to zero, and therefore, if the error of the instrument is large, misdiagnosis of diseases of patients by doctors can be caused.
Therefore, compared with the standard curve obtained by adopting a cubic spline interpolation method in the whole section, the method has the advantages that the cubic spline curve between the zero point and the first target value point is replaced by linear interpolation, the Nth target value coordinate extends towards the right, the linear equation obtained by adopting the Nth target value coordinate and the (N-1) th target value coordinate is adopted, the monotonicity of the generated standard curve can be ensured, the measurement error near the zero point of the instrument is reduced, and the accuracy of a negative and positive detection result is improved. In addition, compared with the existing monotonicity cubic spline algorithm, the complexity of combination of linear interpolation and cubic spline difference is obviously reduced, and the method is easy to realize in embedded equipment.
Further, considering that the standard curves of some analyzing devices need to satisfy monotonicity, the apparatus can be determined to belong to a qualified product, and therefore, when determining whether the apparatus belongs to a qualified product, in this embodiment, the method further includes: in the process of generating the basic curve, the monotonicity of the generated basic curve is determined in real time, when the generated basic curve does not meet the monotonicity, the generation of the basic curve is immediately stopped, and an alarm prompt is given, so that a user can find the abnormality of the analysis equipment in time and quickly judge the abnormality as a defective product.
Example 2
Referring to fig. 5, in another embodiment of the present application, a standard curve generating apparatus 10 is provided, which includes: a data acquisition module 11 and a curve generation module 12.
The data acquisition module 11 is used for acquiring zero-point related data and target value related data; and a curve generating module 12, configured to determine a base curve by using a first interpolation method based on the zero-point related data and the target-value related data, and optimize the base curve by using a second interpolation method to obtain a standard curve.
In this embodiment, the standard curve generating device 10 is used by matching the data obtaining module 11 and the curve generating module 12 to execute the standard curve generating method of the foregoing embodiment, and the implementation and beneficial effects related to the foregoing embodiment are also applicable in this embodiment, and are not described herein again.
Example 3
Referring to fig. 6, in a third embodiment of the present application, an analysis apparatus 100 is provided, which includes a memory 110 and a processor 120, where the memory 110 stores a computer program, and the computer program, when running on the processor 120, executes the standard curve generation method of the above-mentioned embodiment.
By way of example, the analysis device may be: biochemical analyzers, immunoassay analyzers, saccharification analyzers, liquid chromatographs, and the like, which require standard curve generation. Wherein, the immunity analyzer can be an electrochemical luminescence analyzer or a chemiluminescence analyzer.
Example 4
In a fourth embodiment of the present application, a readable storage medium is proposed, which stores a computer program that, when run on a processor, performs the standard curve generation method of the above-described embodiments.
In the embodiments provided in the present application, it should be understood that the disclosed apparatus and method can be implemented in other ways. The apparatus embodiments described above are merely illustrative and, for example, the flowchart and block diagrams in the figures illustrate the architecture, functionality, and operation of possible implementations of apparatus, methods and computer program products according to various embodiments of the present invention. In this regard, each block in the flowchart or block diagrams may represent a module, segment, or portion of code, which comprises one or more executable instructions for implementing the specified logical function(s). It should also be noted that, in alternative implementations, the functions noted in the block may occur out of the order noted in the figures. For example, two blocks shown in succession may, in fact, be executed substantially concurrently, or the blocks may sometimes be executed in the reverse order, depending upon the functionality involved. It will also be noted that each block of the block diagrams and/or flowchart illustration, and combinations of blocks in the block diagrams and/or flowchart illustration, can be implemented by special purpose hardware-based systems which perform the specified functions or acts, or combinations of special purpose hardware and computer instructions.
In addition, each functional module or unit in each embodiment of the present invention may be integrated together to form an independent part, or each module may exist separately, or two or more modules may be integrated to form an independent part.
The functions, if implemented in the form of software functional modules and sold or used as a stand-alone product, may be stored in a readable storage medium. Based on such understanding, the technical solution of the present invention or a part of the technical solution that contributes to the prior art in essence can be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a smart phone, a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned readable storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.
The above description is only for the specific embodiments of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art can easily conceive of the changes or substitutions within the technical scope of the present invention, and all the changes or substitutions should be covered within the scope of the present invention.
Claims (14)
1. A method of standard curve generation, the method comprising:
acquiring zero-point related data, a plurality of target value concentrations and a plurality of target value signal values corresponding to the plurality of target value concentrations;
determining a zero point coordinate according to the zero point related data, wherein the zero point coordinate comprises a zero point concentration and a zero point signal value corresponding to the zero point concentration;
forming an nth target value coordinate according to the nth target value concentration and an nth target value signal value corresponding to the nth target value concentration, wherein N is more than or equal to 1 and less than or equal to N, and N is the total number of the target value coordinates;
inserting a plurality of initial interpolation coordinates between the zero point coordinate and the N target value coordinates by utilizing a cubic spline interpolation method, wherein the N target value coordinates are sequentially arranged from small to large according to the target value concentration;
determining a base curve according to the zero point coordinate, the N target value coordinates and the plurality of initial interpolation coordinates;
and optimizing a curve segment corresponding to the zero point coordinate and the first target value coordinate in the basic curve by using a linear interpolation method to obtain the standard curve, and/or determining an extension curve based on the N-1 th target value coordinate and the Nth target value coordinate by using the linear interpolation method to optimize the basic curve based on the extension curve to obtain the standard curve.
2. The standard curve generation method of claim 1, wherein the interpolating a plurality of initial interpolation coordinates between the zero point coordinates and the N target value coordinates using a cubic spline interpolation method comprises:
determining cubic interpolation functions corresponding to intervals formed by every two adjacent points in the zero point coordinates and the N target value coordinates according to preset boundary conditions;
and carrying out cubic spline interpolation on the ith interval corresponding to the ith cubic interpolation function to obtain a plurality of initial interpolation coordinates, wherein i is more than or equal to 1 and less than or equal to N.
3. The method of claim 2, wherein the boundary conditions include:
the second derivative of the cubic interpolation function corresponding to the first interval at the left end coordinate point of the first interval is equal to zero;
and the second derivative of the cubic interpolation function corresponding to the last interval at the right-end coordinate point of the last interval is equal to zero.
4. The standard curve generation method according to any one of claims 1 to 2, wherein the zero-point-related data includes a plurality of zero-point detection coordinates, and the determining the zero-point coordinates from the zero-point-related data includes:
arranging the zero detection coordinates in sequence according to the sequence of zero detection signal values from small to large or from large to small;
taking a zero point detection coordinate located at a middle position as the zero point coordinate under the condition that the zero point related data comprises odd zero point detection coordinates;
and under the condition that the zero-point related data comprises even zero-point detection coordinates, calculating the zero-point coordinates according to the two zero-point detection coordinates positioned at the middle position.
5. The standard curve generation method according to any one of claims 1 to 2, further comprising:
determining monotonicity of the generated basic curve in real time in the process of generating the basic curve;
and when the generated basic curve does not meet monotonicity, immediately stopping the generation of the basic curve and giving an alarm prompt.
6. A method of standard curve generation, the method comprising:
acquiring zero-point related data, a plurality of target value concentrations and a plurality of target value signal values corresponding to the plurality of target value concentrations;
determining a zero point coordinate according to the zero point related data, wherein the zero point coordinate comprises a zero point concentration and a zero point signal value corresponding to the zero point concentration;
forming an nth target value coordinate according to the nth target value concentration and an nth target value signal value corresponding to the nth target value concentration, wherein N is more than or equal to 1 and less than or equal to N, and N is the total number of the target value coordinates;
inserting a plurality of first interpolation coordinates between the N target value coordinates by utilizing a cubic spline interpolation method, and determining a basic curve according to the N target value coordinates and the plurality of first interpolation coordinates, wherein the N target value coordinates are sequentially arranged from small to large according to the target value concentration;
inserting a plurality of second interpolation coordinates between the zero point coordinate and the first target value coordinate by using a linear interpolation method, and determining an initial curve according to the zero point coordinate, the first target value coordinate and the plurality of second interpolation coordinates; and/or determining a linear interpolation function corresponding to the (N-1) th target value coordinate and the Nth target value coordinate by using the linear interpolation method so as to determine an extension curve according to the linear interpolation function;
optimizing the base curve according to the start curve and/or the extension curve to determine the standard curve.
7. The standard curve generation method of claim 6, wherein the optimizing the base curve from the start curve and/or the extension curve to determine the standard curve comprises:
optimizing said base curve by stitching said first target value coordinate of said start curve with said first target value coordinate of said base curve to obtain said standard curve; or the like, or, alternatively,
optimizing the base curve by stitching the Nth target value coordinate of the extension curve and the N target value coordinates of the base curve to obtain the standard curve; or the like, or, alternatively,
optimizing the base curve by stitching the first target value coordinate of the start curve with the first target value coordinate of the base curve, and stitching the nth target value coordinate of the extension curve with the N target value coordinates of the base curve to obtain the standard curve.
8. The standard curve generation method of claim 6, wherein the interpolating a plurality of first interpolated coordinates between the N target value coordinates using a cubic spline interpolation method comprises:
determining cubic interpolation functions corresponding to intervals formed by every two adjacent points in the N target value coordinates according to preset boundary conditions;
and performing cubic spline interpolation on the corresponding kth interval by using the kth cubic interpolation function to obtain a plurality of first interpolation coordinates, wherein k is more than or equal to 1 and less than or equal to N-1.
9. The method of claim 8, wherein the boundary conditions include:
the second derivative of the cubic interpolation function corresponding to the first interval at the left end coordinate point of the first interval is equal to zero;
and the second derivative of the cubic interpolation function corresponding to the last interval at the right-end coordinate point of the last interval is equal to zero.
10. The method for generating a calibration curve according to any one of claims 6 to 8, wherein the zero-point-related data includes a plurality of zero-point detection coordinates, and the determining the zero-point coordinates according to the zero-point-related data includes:
arranging the zero detection coordinates in sequence according to the sequence of zero detection signal values from small to large or from large to small;
taking a zero point detection coordinate located at a middle position as the zero point coordinate under the condition that the zero point related data comprises odd zero point detection coordinates;
and under the condition that the zero-point related data comprises even zero-point detection coordinates, calculating the zero-point coordinates according to the two zero-point detection coordinates positioned at the middle position.
11. The standard curve generation method according to any one of claims 6 to 8, further comprising:
determining monotonicity of the generated basic curve in real time in the process of generating the basic curve;
and when the generated basic curve does not meet monotonicity, immediately stopping the generation of the basic curve and giving an alarm prompt.
12. A standard curve generation apparatus, the apparatus comprising:
the data acquisition module is used for acquiring zero-point related data, a plurality of target value concentrations and a plurality of target value signal values corresponding to the plurality of target value concentrations;
the curve generation module is used for determining a zero point coordinate according to the zero point related data, wherein the zero point coordinate comprises a zero point concentration and a zero point signal value corresponding to the zero point concentration; forming an nth target value coordinate according to the nth target value concentration and an nth target value signal value corresponding to the nth target value concentration, wherein N is more than or equal to 1 and less than or equal to N, and N is the total number of the target value coordinates; inserting a plurality of initial interpolation coordinates between the zero point coordinate and the N target value coordinates by utilizing a cubic spline interpolation method, wherein the N target value coordinates are sequentially arranged from small to large according to the target value concentration; determining a base curve according to the zero point coordinate, the N target value coordinates and the plurality of initial interpolation coordinates; and optimizing a curve segment corresponding to the zero point coordinate and the first target value coordinate in the basic curve by using a linear interpolation method to obtain the standard curve, and/or determining an extension curve based on the N-1 th target value coordinate and the Nth target value coordinate by using the linear interpolation method to optimize the basic curve based on the extension curve to obtain the standard curve.
13. An analysis apparatus comprising a memory and a processor, the memory storing a computer program which, when run on the processor, performs the standard curve generation method of any one of claims 1 to 11.
14. A readable storage medium, characterized in that it stores a computer program which, when run on a processor, performs the standard curve generation method of any one of claims 1 to 11.
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