CN110930399A - TKA preoperative clinical staging intelligent evaluation method based on support vector machine - Google Patents

TKA preoperative clinical staging intelligent evaluation method based on support vector machine Download PDF

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CN110930399A
CN110930399A CN201911255366.2A CN201911255366A CN110930399A CN 110930399 A CN110930399 A CN 110930399A CN 201911255366 A CN201911255366 A CN 201911255366A CN 110930399 A CN110930399 A CN 110930399A
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李修寒
吴小玲
王伟
王黎明
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Nanjing Medical University
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Abstract

The invention relates to the technical field of total knee joint replacement, in particular to a TKA preoperative clinical staging intelligent evaluation method based on a support vector machine. The method comprises the following steps: collecting OA (knee joint) imaging data, collecting X-ray full-length sheet data, and performing screening and data labeling of clinical staged training samples by matching with data such as lower limb full-length CT (computed tomography) volume scanning image data, bone density data, MR T1/T2/3D-FS-SPGR cartilage imaging sequence data, tissue samples, patient general data and the like; using the X-ray imaging data marked with clinical stages; and (5) adopting a support vector machine to carry out classification output. According to the TKA preoperative clinical staging intelligent evaluation method based on the support vector machine, a support vector machine-based supervised deep learning algorithm is adopted in the TKA preoperative clinical intelligent staging, doctors are liberated from a large amount of medical imaging data, level difference among the doctors is reduced, and the process from judgment of a preceding auxiliary doctor to independent decision making after maturity is realized.

Description

TKA preoperative clinical staging intelligent evaluation method based on support vector machine
Technical Field
The invention relates to the technical field of total knee joint replacement, in particular to a TKA preoperative clinical staging intelligent evaluation method based on a support vector machine.
Background
With the increase of high-energy injuries such as accelerated aging of population, sports injury, traffic accidents and the like in China, the incidence of injuries and/or defects of cartilage and subchondral bone is obviously increased. According to statistics, the cartilage injury reaches 10 million people after the trauma in China every year, the total number of patients with osteoarthritis is higher by 1.2 hundred million, and the incidence rate is about 9.6 percent of the population. Despite the intensive research on cartilage repair techniques, total knee arthroplasty remains the most reliable treatment currently for severe OA of the knee. In recent years, the annual growth rate of artificial joint replacement in China reaches 13%, and currently 20 ten thousand cases per year.
Clinical manifestations and physical signs of the OA of the knee joint are different, and clinical staging evaluation of the OA of the knee joint is particularly important for improving diagnosis and treatment effects. The severity of the patient's condition is accurately judged, so that a clinician is guided to perform TKA operation on the patient. In the traditional clinical staging evaluation, before the TKA operation, doctors evaluate by using X-rays and combining CT or MRI medical imaging data timely according to experience and knowledge, and the evaluation accuracy is different according to different doctors. With the continuous development of artificial intelligence technology, the intelligent stage assessment by utilizing the imaging data becomes possible, the accuracy of the stage assessment can exceed that of an experienced doctor in the future, independent decision making from judgment of a forepart doctor to maturity is realized, the doctor is liberated from a large amount of medical imaging data, and the level difference among doctors is reduced.
Disclosure of Invention
The invention aims to provide a TKA preoperative clinical staging intelligent evaluation method based on a support vector machine, so as to solve the problems in the background technology.
In order to achieve the purpose, the invention provides a TKA preoperative clinical staging intelligent evaluation method based on a support vector machine, which comprises the following steps:
s1, collecting OA (knee joint) imaging data of the knee joint, collecting X-ray full-length data, and performing screening and data annotation of a clinical staged training sample by matching with data such as lower limb full-length CT (computed tomography) volume scanning image data, bone density data, MR (magnetic resonance) T1/T2/3D-FS-SPGR cartilage imaging sequence data, a tissue sample, patient general data and the like;
s2, defining staging grades by using the X-ray imaging data labeled with clinical staging, and training support vector machines of different linear kernels, polynomial kernels, Gaussian kernels and the like;
and S3, adopting a support vector machine to perform classification output.
Preferably, in S2, the method for training a support vector machine includes the following steps:
s2.1, inputting two types of training sample vectors (X)i,Yi)(i=1,2,…,N,X∈RnY belongs to-1, 1), and the class numbers are w respectively1,w2If X isi∈w1Then Y isi=-1,;Xi∈w2Then Y isi=1;
S2.2, specifying a kernel function type;
s2.3, solving the optimal solution of the daily function expression by utilizing a quadratic programming method to obtain the optimal Lagrange multiplier a*
S2.4, using a support vector X in the sample libraryiAnd obtaining a deviation value b.
Preferably, the specified kernel function type is a polynomial kernel, and the formula is as follows:
k(x,x')=(<x,x'>+d)p,p∈N,d≥0……(1)。
preferably, the objective function of the quadratic programming method for solving the objective function formula is as follows:
Figure BDA0002310095420000021
preferably, in S3, the method for the support vector machine to output the classified data includes the following steps:
s3.1, solving an optimal solution by adopting quadratic programming;
s3.2, solving the quadratic programming problem by adopting a Lagrange multiplier method;
and S3.3, constructing the SVM with soft decision output in the multi-classification.
Preferably, the formula for solving the optimal solution by quadratic programming is as follows:
Figure BDA0002310095420000022
w denotes the coefficient of the classification hyperplane and b is a constant.
Preferably, the formula of the lagrange multiplier method is as follows:
αi[yi(<w·xi>+b)-1]=0,i=1,…N……(4);
αifor lagrange multipliers of samples, assume the optimal solution of α is α*Substituting the optimal solution into a hyperplane equation to obtain a decision function:
Figure BDA0002310095420000031
preferably, the decision output of the SVM is mapped between 0 and 1 by Sigmoid function, and a mathematical expression of probability output is constructed, which is simplified as follows:
f(x)=∑αiyiK(xi,x)+b……(6);
wherein, K (x)i,x)=〈xiX > is the kernel function of the construct.
Compared with the prior art, the invention has the beneficial effects that: according to the TKA preoperative clinical staging intelligent evaluation method based on the support vector machine, a support vector machine-based supervised deep learning algorithm is adopted in the TKA preoperative clinical intelligent staging, doctors are liberated from a large amount of medical imaging data, level difference among the doctors is reduced, and the process from judgment of a preceding auxiliary doctor to independent decision making after maturity is realized.
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FIG. 1 is an overall flow diagram of the present invention;
FIG. 2 is a flowchart of a method for training a support vector machine according to the present invention;
FIG. 3 is a flowchart of a method for classified output by the SVM of the present invention;
FIG. 4 is a block diagram of the data collection of OA iconography of knee joints of people in China according to the present invention;
FIG. 5 is a block diagram of the deep learning platform of the present invention;
FIG. 6 is a block diagram of the preliminary TKA pre-operative intelligent clinical staging based on a support vector machine of the present invention;
FIG. 7 is a flowchart of the support vector machine four-classification of the present invention.
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. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Referring to fig. 1-7, the present invention provides a technical solution:
the invention provides a TKA preoperative clinical staging intelligent evaluation method based on a support vector machine, which comprises the following steps:
s1, collecting OA (knee joint) imaging data, collecting X-ray full-length data, and performing screening and data annotation of clinical staged training samples by matching with data such as lower limb full-length CT (computed tomography) volume scanning image data, bone density data, MRT1/T2/3D-FS-SPGR cartilage imaging sequence data, tissue samples, patient general data and the like;
s2, defining staging grades by using the X-ray imaging data labeled with clinical staging, and training support vector machines of different linear kernels, polynomial kernels, Gaussian kernels and the like;
and S3, adopting a support vector machine to perform classification output.
In the embodiment, the training is based on constructing a distributed multi-GPU training platform, and the training effects of different-depth learning frames, such as TensorFlow, Caffe, Theano and the like, are evaluated in the aspects of distributed operation support, execution efficiency and the like; aiming at the characteristics of knee joint image data, a mainstream deep learning model at home and abroad is screened at present, and evaluation is carried out on three aspects of convergence speed, stability and generation effect; aiming at the characteristics of knee joint image data, optimization is carried out on the aspects of loss function design, convergence algorithm, momentum optimization algorithm and the like.
Furthermore, the method utilizes X-ray imaging data marked with clinical stages to define stage grades, trains Support Vector Machines (SVM) of different linear kernels, polynomial kernels, Gaussian kernels and the like, evaluates convergence speed, stability and classification effect, tests the effect of the support vector machines under different loss functions such as change loss, index loss and contrast loss, and optimizes the loss function, convergence algorithm and momentum optimization algorithm. The relevant characteristic extraction algorithm of the X-ray imaging data is researched, the data volume of a single sample is reduced, and the training efficiency is improved.
Specifically, in S2, the method for training the support vector machine includes the following steps:
s2.1, inputting two types of training sample vectors (X)i,Yi)(i=1,2,…,N,X∈RnY belongs to-1, 1), and the class numbers are w respectively1,w2If X isi∈w1Then Y isi=-1,;Xi∈w2Then Y isi=1;
S2.2, specifying a kernel function type;
s2.3, solving the optimal solution of the daily function expression by utilizing a quadratic programming method to obtain the optimal Lagrange multiplier a*
S2.4, using a support vector X in the sample libraryiAnd obtaining a deviation value b.
The specified kernel function type adopts a polynomial kernel, and the formula is as follows:
k(x,x')=(<x,x'>+d)p,p∈N,d≥0……(1)。
wherein, the specified kernel function type can also adopt an RBF kernel, a B-spline kernel and a Fourier kernel: the function formula of the RBF kernel is as follows:
Figure BDA0002310095420000051
the functional formula of the B-spline kernel is as follows:
k(x,x')=B2N+1(||x-x'||)……(1-2);
the functional formula of the Fourier kernel is as follows:
Figure BDA0002310095420000052
specifically, the objective function of the quadratic programming method for solving the daily function equation is as follows:
Figure BDA0002310095420000053
in this embodiment, in S3, the method for supporting the vector machine to output the classified data includes the following steps:
s3.1, solving an optimal solution by adopting quadratic programming;
s3.2, solving the quadratic programming problem by adopting a Lagrange multiplier method;
and S3.3, constructing the SVM with soft decision output in the multi-classification.
The formula for solving the optimal solution by adopting quadratic programming is as follows:
Figure BDA0002310095420000054
w denotes the coefficient of the classification hyperplane and b is a constant.
The formula of the Lagrange multiplier method is as follows:
αi[yi(〈w·xi〉+b)-1]=0,i=1,…N……(4);
αifor lagrange multipliers of samples, assume the optimal solution of α is α*Substituting the optimal solution into a hyperplane equation to obtain a decision function:
wherein the content of the first and second substances,
Figure BDA0002310095420000061
the decision output of the SVM is mapped between 0 and 1 through a Sigmoid function, and a mathematical expression of probability output is constructed, wherein the simplified form is as follows:
f(x)=∑αiyiK(xi,x)+b……(6);
wherein, K (x)i,x)=<xiX > is the kernel function of the construct.
It is worth to be noted that, in the present invention, the knee joint clinical stage is divided into 4 stages, i, ii, iii and iv stages, respectively, the support vector machine principle can only perform two classifications, and in order to realize four classifications, the using method is as follows:
constructing N (N-1)/2 two-class classifiers according to the classification number required to be classified, namely constructing 6 two-class classifiers in the invention, judging a sample by adopting a voting mode, inputting the sample into any two-class classifiers which are constructed, classifying the sample by the classifiers, and determining which class the sample belongs to if the number of the class is the maximum, specifically constructing a decision function of the N (N-1)/2 two-class classifiers, namely, constructing a "voting method" decision max ((w) decision max) of the N (N-1)/2 two-class classifiers as shown in figure 7AB)TΦ(xA)+bAB) If the ticket number belongs to the category A, the ticket number of the category A is increased by one, otherwise, the ticket number of the category B is increased by one, and the category with the most tickets is counted, namely the category.
The foregoing shows and describes the general principles, essential features, and advantages of the invention. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, and the preferred embodiments of the present invention are described in the above embodiments and the description, and are not intended to limit the present invention. The scope of the invention is defined by the appended claims and equivalents thereof.

Claims (8)

1. The TKA preoperative clinical staging intelligent evaluation method based on the support vector machine is characterized by comprising the following steps: the method comprises the following steps:
s1, collecting knee joint 0A imaging data, collecting X-ray full-length data, and matching with data such as lower limb full-length CT volume scanning image data, bone density data, MRT1/T2/3D-FS-SPGR cartilage imaging sequence data, tissue samples, patient general data and the like, screening and carrying out data annotation of clinical staged training samples;
s2, defining staging grades by using the X-ray imaging data labeled with clinical staging, and training support vector machines of different linear kernels, polynomial kernels, Gaussian kernels and the like;
and S3, adopting a support vector machine to perform classification output.
2. The method for intelligently evaluating pre-operative clinical stages of TKA based on a support vector machine as claimed in claim 1, wherein: in S2, the method for training a support vector machine includes the following steps:
s2.1, inputting two types of training sample vectors (X)i,Yi)(i=1,2,...,N,X∈RnY belongs to-1, 1), and the class numbers are w respectively1,w2If X isi∈w1Then Y isi=-1,;Xi∈w2Then Y isi=1;
S2.2, specifying a kernel function type;
s2.3, solving the optimal solution of the daily function expression by utilizing a quadratic programming method to obtain the optimal Lagrange multiplier a*
S2.4, using a support vector X in the sample libraryiAnd obtaining a deviation value b.
3. The method for intelligently evaluating pre-operative clinical stages of TKA based on a support vector machine as claimed in claim 2, wherein: the specified kernel function type adopts a polynomial kernel, and the formula is as follows:
k(x,x′)=(<x,x′>+d)p,p∈N,d≥0......(1)。
4. the method for intelligently evaluating pre-operative clinical stages of TKA based on a support vector machine as claimed in claim 2, wherein: the quadratic programming method solves the objective function of the objective function formula as follows:
Figure FDA0002310095410000011
5. the method for intelligently evaluating pre-operative clinical stages of TKA based on a support vector machine as claimed in claim 1, wherein: in S3, the method for supporting the vector machine to output the classified data includes the following steps:
s3.1, solving an optimal solution by adopting quadratic programming;
s3.2, solving the quadratic programming problem by adopting a Lagrange multiplier method;
and S3.3, constructing the SVM with soft decision output in the multi-classification.
6. The method of claim 5, wherein the method comprises the following steps: the formula for solving the optimal solution by adopting quadratic programming is as follows:
Figure FDA0002310095410000021
w denotes the coefficient of the classification hyperplane and b is a constant.
7. The method of claim 5, wherein the method comprises the following steps: the formula of the lagrange multiplier method is as follows:
αi[yi(<w·xi>+b)-1]=0,i=1,…N……(4);
αifor lagrange multipliers of samples, assume the optimal solution of α is α*Substituting the optimal solution into a hyperplane equation to obtain a decision function:
Figure FDA0002310095410000022
8. the method of claim 5, wherein the method comprises the following steps: the decision output of the SVM is mapped between 0 and 1 through a Sigmoid function, and a mathematical expression of probability output is constructed, wherein the simplified form is as follows:
f(x)=∑αiyiK(xi,x)+b……(6);
wherein, K (x)i,x)=<xi·x>Is a constructed kernel function.
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