CN112185551A - System and method for predicting coronary artery stenosis resistance based on deep learning - Google Patents
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Abstract
A system and method for predicting coronary stenosis resistance based on deep learning. Belongs to the field of artificial intelligence, and comprises the following steps: constructing a blood vessel model based on the real coronary artery parameters and recording the parameters (entrance area, stenosis length and the like) of the blood vessel model; performing model gridding pretreatment based on the blood vessel model; calculating a preprocessing model based on geometric multi-scale hemodynamics and extracting stenosis resistance of the blood vessel model; establishing a stenosis resistance training set and a prediction set based on data extraction and blood vessel model parameters; establishing a neural network framework based on the BP neural network; training a narrow resistance training set and performing prediction verification on a prediction set based on deep learning.
Description
Technical Field
The invention belongs to the field of artificial intelligence, and relates to a system and a method for predicting coronary artery stenosis resistance based on deep learning.
Background
FFR is a reliable indicator directly describing the degree of functional myocardial ischemia, and can be obtained by numerical simulation in related studies, and the determination of coronary artery stenosis resistance is particularly important for numerical calculation of FFR. The coronary artery stenosis resistance determination method is intended to provide a calculation basis for non-invasively obtaining the accuracy of the FFR (defined as the ratio of the mean pressure at the distal end of the stenosis (Pd) to the mean pressure at the root of the aorta (Pa)) value.
Machine learning is a multi-field interdiscipline, deep learning is a new research direction in the field of machine learning, is an internal rule and a representation level of learning sample data, and finally aims to enable a machine to have the analysis and learning capacity like a human and to recognize data such as characters, images and shapes. The method combines deep learning and numerical simulation to provide an algorithm for predicting coronary artery stenosis resistance based on deep learning, so that the stenosis resistance is determined based on the coronary artery geometric parameters, and the accuracy of the FFR numerical simulation result is improved in noninvasive calculation. Has certain theoretical value for the research of diagnosis and treatment strategies of individual coronary artery physiological diseases.
Disclosure of Invention
The invention provides an algorithm for predicting coronary artery stenosis resistance based on deep learning, which is quicker and more accurate than numerical simulation and is generally suitable for determining stenosis resistance calculation generated by vascular stenosis. The algorithm for predicting coronary artery stenosis resistance based on deep learning comprises the following steps: the method comprises the steps of construction of a blood vessel model, model grid preprocessing, target parameter extraction, database establishment, neural network establishment and prediction verification.
In order to achieve the purpose, the invention is realized by the following technical scheme:
a system for predicting coronary artery stenosis resistance based on deep learning is characterized in that the system is used for predicting the coronary artery stenosis resistance by the following method, and comprises the following steps:
step A1: constructing a coronary vessel model based on the real coronary anatomical structure parameters and recording the parameters (such as entrance area, narrow length, narrow area and the like) of the coronary vessel model;
step A2: performing model gridding pretreatment based on the blood vessel model;
step A3: calculating a preprocessing model based on geometric multi-scale hemodynamics and extracting stenosis resistance of a blood vessel model;
a4, establishing a stenosis resistance training set and a prediction set based on data extraction and blood vessel model parameters;
step A5: establishing a neural network framework based on the BP neural network;
step A6: training a narrow resistance training set and performing prediction verification on a prediction set based on deep learning.
1. As the technical scheme of the invention, the characteristic in the step A1 is that firstly, a coronary vessel model is constructed based on the real coronary anatomical structure parameters, and the coronary vessel model is constructed by Sold Work software. The requirements for constructing the model are as follows: the shape parameters such as entrance area, blood vessel length, stenosis rate, etc. should conform to the parameters of the real blood vessel. For example: a vessel diameter D (2-6mm), a stenosis length ls (2-40mm), a stenosis rate DS% (20-90%), a stenosis diameter DS (1-DS%), a vessel length L ═ ls + D8 + D12);
as a further technical solution of the present invention, the feature described in step a2 is that model meshing preprocessing is performed based on the blood vessel model, and the input form of the software-supported mesh file is calculated, so that the following preprocessing steps are performed before the model meshing:
step B1: deriving an x _ t format for the constructed blood vessel model through Sold Works software;
step B2: and performing pre-calculation meshing on the constructed blood vessel model through an Ansys workbench 15.0 meshing sub-function module, wherein the step requires sensitivity analysis on meshes, and eliminates the influence of mesh factors on calculation results.
As a further technical scheme of the invention, the characteristics in the step A3 are used for extracting the stenosis resistance of the blood vessel model based on a multi-scale haemodynamics calculation preprocessing model. The specific implementation process comprises the following steps:
step C1: giving the same resting flow to determine a corresponding zero-dimensional afterload model, wherein the zero-dimensional afterload model consists of basic electronic component inductors and resistors, and the equivalent relation between the hemodynamic parameters and the physical electrical parameters is shown in table 1.
TABLE 1 hemodynamic parameters and physical electrical parameters equivalence relation
Assuming that the length of a section of blood vessel is l, the cross-sectional area of the blood vessel is a, and the zero-dimensional and three-dimensional corresponding parameter relationship of a section of blood vessel is shown in fig. 5, according to the elastic cavity theory established by Frank, the quantitative relationship among the flow, pressure and related resistance on the section of blood vessel can be expressed as follows:
Δp=Q*R′#(1)
in the formula, Δ P represents the pressure drop generated in the section of blood vessel, Q represents the blood flow of the branch blood vessel, and R' represents the viscous resistance generated by the section of blood vessel; mu is the blood viscosity value under normal physiology, and the value is 3.5e-3 Pa.s; l represents the length of the section of the blood vessel, and A represents the cross-sectional area of the section of the blood vessel.
The self-inductivity of the inductor is equivalent to the flow inertia of blood flow, and the resistance effect of the resistor is equivalent to the microcirculation resistance of each branch of the coronary artery. The values of the resistance R and the inductance L in the zero-dimensional model are:
in the formula PPowderRepresents the pressure at the end of the section of the blood vessel, and rho represents the blood flow density value and is defined as 1060kg/m3。
Step C2: introducing the gridding model into Ansys-CFX fluid calculation software, and giving fluid calculation parameters including blood flow density and blood flow dynamic viscosity value (namely the blood viscosity value under normal physiology); (ii) a
Step C3: determining boundary conditions and calculating the pressure-flow-afterload relation of three-dimensional model, defining average arterial pressure at the blood vessel inlet, defining virtual flow boundary at the outlet, and coupling zero-dimensional afterload model
Step C4: in the numerical simulation calculation, the setting time is 1.2s, the setting time step length is 0.01s, and the simulation calculation process is executed.
Step C5: after the calculation is finished, the blood vessel pressure is extracted at the position 30mm behind the stenosis, the pressure difference of the pretreatment model is obtained through comparison with the blood vessel inlet pressure, and the stenosis resistance is obtained through dividing the pressure difference by the flow. And extracting blood flow at the stenotic inlet.
As a further technical scheme of the invention, the characteristics in the step A4 are used for establishing a stenosis resistance training set and a prediction set based on data extraction and blood vessel model parameters; 340 different stenosis parameter blood vessels are calculated through steps A1, A2 and A3, the extracted stenosis resistance and blood flow of the blood vessel model and the geometric parameters of the blood vessel model construct a deep learning data set, and the data set is divided into a training set and a testing set.
As a further technical solution of the present invention, the characteristic described in step a5, establishing a neural network framework based on a BP neural network, specifically includes the following steps:
step D1: establishing a deep learning hidden layer, and setting the number of hidden layers, the number of nodes of the hidden layer, an activation function and the like;
step D2: selecting proper optimizers, Loss functions and other hyper-parameters.
As a further technical scheme of the invention, the characteristics in the step A5 are based on deep learning to train the stenosis resistance training set and to predict and verify the prediction set. The specific implementation process comprises the following steps:
step E1: importing a training set and a testing set into a program through a pandas module;
step E2: the influence of the geometric parameters of the blood vessel on the stenosis resistance of the blood vessel model is analyzed through a correlation coefficient matrix, multiple collinearity among variables is analyzed and avoided, and finally seven variables with strong correlation are obtained, wherein the variables are respectively the entrance area, the stenosis entrance length, the stenosis outlet length, the minimum stenosis length, the stenosis rate and the entrance blood flow.
Step E3: and importing the processed data into a neural network framework to adjust the hyper-parameters.
Step E4: and saving the training model and executing the prediction of the stenosis resistance of the blood vessel model.
The system of the invention can predict coronary artery stenosis resistance accurately with small error.
Description of the drawings:
FIG. 1 is a flow chart of the method of the present invention
FIG. 2: blood vessel model diagram
FIG. 3: zero-dimensional three-dimensional coupling model diagram
FIG. 4: parameter matrix correlation analysis
FIG. 5: neural network architecture
FIG. 6: comparison graph of predicted value and calculated value
Detailed Description
The present invention will be further illustrated with reference to the following examples, but the present invention is not limited to the following examples.
Example 1
A system for predicting coronary artery stenosis resistance based on deep learning is used for predicting the coronary artery stenosis resistance through the following method, and comprises the following steps:
step A1: constructing a coronary vessel model based on the real coronary anatomical structure parameters and recording the coronary vessel model parameters (entrance area, stenosis entrance length, stenosis exit length, minimum stenosis length, stenosis rate);
step A2: performing model gridding pretreatment based on the blood vessel model;
step A3: calculating a preprocessing model based on geometric multi-scale hemodynamics and extracting stenosis resistance of a blood vessel model;
a4, establishing a stenosis resistance training set and a prediction set based on data extraction and blood vessel model parameters;
step A5: establishing a neural network framework based on the BP neural network;
step A6: training a narrow resistance training set and performing prediction verification on a prediction set based on deep learning.
As the technical scheme of the invention, the characteristic in the step A1 is that firstly, a coronary vessel model is constructed based on the real coronary anatomical structure parameters, and the coronary vessel model is constructed by Sold Work software. The requirements for constructing the model are as follows: the shape parameters such as entrance area, blood vessel length, stenosis rate, etc. should conform to the parameters of the real blood vessel. For example: blood vessel diameter D (2-6mm), stenosis length ls (2-40mm), stenosis rate DS (20-90%), stenosis diameter Ds (1-DS%), blood vessel length L (ls + D8 + D12)
As a further technical solution of the present invention, the feature described in step a2 is that model meshing preprocessing is performed based on the blood vessel model, and the input form of the software-supported mesh file is calculated, so that the following preprocessing steps are performed before the model meshing:
step B1: deriving an x _ t format for the constructed blood vessel model through Sold Works software;
step B2: and performing pre-calculation meshing on the constructed blood vessel model through an Ansys workbench 15.0 meshing sub-function module, wherein the step requires sensitivity analysis on meshes, and eliminates the influence of mesh factors on calculation results.
As a further technical scheme of the invention, the characteristics in the step A3 are used for extracting the stenosis resistance of the blood vessel model based on a multi-scale haemodynamics calculation preprocessing model. The specific implementation process comprises the following steps:
step C1: giving the same resting flow to determine a corresponding zero-dimensional afterload model, wherein the zero-dimensional afterload model consists of basic electronic component inductors and resistors, and the equivalent relation between the hemodynamic parameters and the physical electrical parameters is shown in table 1.
TABLE 1 hemodynamic parameters and physical electrical parameters equivalence relation
Assuming that the length of a section of blood vessel is l, the cross-sectional area of the blood vessel is a, and the zero-dimensional and three-dimensional corresponding parameter relationship of a section of blood vessel is shown in fig. 3, according to the elastic cavity theory established by Frank, the quantitative relationship among the flow, pressure and related resistance on the section of blood vessel can be expressed as follows:
Δp=Q*R′#(1)
in the formula, Δ P represents the pressure drop generated in the section of blood vessel, Q represents the blood flow of the branch blood vessel, and R' represents the viscous resistance generated by the section of blood vessel; mu is the blood viscosity value under normal physiology, and the value is 3.5e-3 Pa.s; l represents the length of the section of the blood vessel, and A represents the cross-sectional area of the section of the blood vessel.
The self-inductivity of the inductor is equivalent to the flow inertia of blood flow, and the resistance effect of the resistor is equivalent to the microcirculation resistance of each branch of the coronary artery. The values of the resistance R and the inductance L in the zero-dimensional model are:
in the formula PPowderRepresents the pressure at the end of the section of the blood vessel, and rho represents the blood flow density value and is defined as 1060kg/m3。
Step C2: introducing the gridding model into Ansys-CFX fluid calculation software, and giving fluid calculation parameters including blood flow density and blood flow dynamic viscosity values;
step C3: determining boundary conditions and calculating the pressure-flow-afterload relation of the three-dimensional model, giving mean arterial pressure at a fluid inlet, defining a virtual flow boundary at an outlet, and coupling the zero-dimensional afterload model.
Step C4: in the numerical simulation calculation, the setting time is 1.2s, the setting time step length is 0.01s, and the simulation calculation process is executed.
Step C5: after the calculation is finished, the blood vessel pressure is extracted at the position 30mm behind the stenosis, the pressure difference of the pretreatment model is obtained through comparison with the inlet pressure, and the stenosis resistance is obtained through dividing the pressure difference by the flow. And extracting blood flow at the stenotic inlet.
As a further technical scheme of the invention, the characteristics in the step A4 are used for establishing a stenosis resistance training set and a prediction set based on data extraction and blood vessel model parameters; 340 different stenosis parameter blood vessels are calculated through steps A1, A2 and A3, the extracted stenosis resistance and blood flow of the blood vessel model and the geometric parameters of the blood vessel model construct a deep learning data set, and the data set is divided into a training set and a testing set.
As a further technical solution of the present invention, the characteristic described in step a5, establishing a neural network framework based on a BP neural network, specifically includes the following steps:
step D1: step D3: establishing a deep learning hidden layer and selecting a Dense layer of Keras, setting an input layer to be 7 variables and an output layer to be 1 narrow resistance, setting the hidden layer to be 7 layers, and using an activation function tanh function
Step D2: selecting an adam optimizer to adjust the hyper-parameters such as lr, beta _1, beta _2, epsilon and the like, and selecting an MSE (mean square error) as a Loss function:
as a further technical scheme of the invention, the characteristics in the step A5 are based on deep learning to train the stenosis resistance training set and to predict and verify the prediction set. The specific implementation process comprises the following steps:
step D1: importing a training set and a testing set into a program through a pandas module;
step D2: the influence of the geometric parameters of the blood vessel on the stenosis resistance of the blood vessel model is analyzed through a correlation coefficient matrix, multiple collinearity among variables is analyzed and avoided, and finally seven variables with strong correlation are obtained, wherein the variables are respectively the entrance area, the stenosis entrance length, the stenosis outlet length, the minimum stenosis length, the stenosis rate and the entrance blood flow.
Step D3: importing the processed data into a neural network framework to adjust parameters such as batch _ size, epochs, estimation _ split, estimation _ freq and the like.
Step D5: and saving the training model and executing the prediction of the stenosis resistance of the blood vessel model.
The invention aims to realize the prediction of the stenosis resistance of a stenosis vessel, numerical simulation calculation is carried out by using an ideal model when a data set is established to obtain the stenosis resistance, real case CTA data is used for model reconstruction when the data set is actually applied to carry out the extraction of the vessel length, the inlet area, the stenosis inlet length, the stenosis rate, the stenosis minimum length, the stenosis outlet length and the vessel flow parameters of the stenosis vessel, and then the stenosis resistance of the stenosis vessel is predicted by using a neural network model to obtain a non-invasive FFR value. The method carries out MSE (mean square error) analysis and verification on the narrow resistance obtained by numerical simulation and the narrow resistance predicted by the neural network. The final MSE result is 3.06%, and the MSE result meets the application standard of less than 5%.
Claims (8)
1. A system for predicting coronary artery stenosis resistance based on deep learning is characterized in that the system is used for predicting the coronary artery stenosis resistance by the following method, and comprises the following steps:
step A1: constructing a coronary vessel model based on the real coronary anatomical structure parameters and recording the parameters (such as entrance area, narrow length, narrow area and the like) of the coronary vessel model;
step A2: performing model gridding pretreatment based on the blood vessel model;
step A3: calculating a preprocessing model based on geometric multi-scale hemodynamics and extracting stenosis resistance of a blood vessel model;
step A4: establishing a stenosis resistance training set and a prediction set based on data extraction and blood vessel model parameters;
step A5: establishing a neural network framework based on the BP neural network;
step A6: training a narrow resistance training set and performing prediction verification on a prediction set based on deep learning.
2. The system for predicting coronary artery stenosis resistance based on deep learning of claim 1, wherein the features of step a1 are obtained by first constructing a coronary vessel model based on the real coronary anatomy parameters, constructing a coronary vessel model by using a Sold word software, and constructing the model so that the shape parameters such as the requirement of the model should be in accordance with the parameters of the real vessel.
3. The system for predicting coronary artery stenosis resistance based on deep learning as claimed in claim 1, wherein the features in step a2 are pre-processed by model meshing based on the vessel model, the input form of the mesh file is supported by the computing software, and therefore the following pre-processing steps are performed before the model meshing:
step B1: deriving an x _ t format for the constructed blood vessel model through Sold Works software;
step B2: and performing pre-calculation meshing on the constructed blood vessel model through an Ansys workbench 15.0 meshing sub-function module, wherein the step requires sensitivity analysis on meshes, and eliminates the influence of mesh factors on calculation results.
4. The system for predicting coronary artery stenosis resistance based on deep learning of claim 1, wherein the features of step a3 are used for extracting the stenosis resistance of the blood vessel model based on a multi-scale hemodynamic computation preprocessing model; the specific implementation process comprises the following steps:
step C1: giving the same resting flow to determine a corresponding zero-dimensional afterload model, wherein the zero-dimensional afterload model consists of basic electronic component inductors and resistors;
assuming a segment of a blood vessel with a length l and a cross-sectional area a, the quantitative relationship between flow, pressure and associated resistance over the segment of the blood vessel can be expressed as:
Δp=Q*R′#(1)
in the formula, Δ P represents the pressure drop generated in the section of blood vessel, Q represents the blood flow of the branch blood vessel, and R' represents the viscous resistance generated by the section of blood vessel; mu is the blood viscosity value under normal physiology, and the value is 3.5e-3 Pa.s; l represents the length of the section of the blood vessel, and A represents the cross-sectional area of the section of the blood vessel;
the self-inductivity of the inductor is equivalent to the flow inertia of blood flow, and the resistance effect of the resistor is equivalent to the microcirculation resistance of each branch of the coronary artery. The values of the resistance R and the inductance L in the zero-dimensional model are:
in the formula PPowderRepresents the pressure at the end of the section of the blood vessel, and rho represents the blood flow density value and is defined as 1060kg/m3。
Step C2: introducing the gridding model into Ansys-CFX fluid calculation software, and giving fluid calculation parameters including blood flow density and blood flow dynamic viscosity value (namely the blood viscosity value under normal physiology);
step C3: determining boundary conditions and calculating the pressure-flow-afterload relation of the three-dimensional model, giving mean arterial pressure at the entrance of a blood vessel, defining a virtual flow boundary at the exit, and coupling a zero-dimensional afterload model;
step C4: in the numerical simulation calculation, setting time to be 1.2s and setting time step length to be 0.01s, and executing a simulation calculation process;
step C5: after calculation, extracting blood vessel pressure at a position 30mm behind the stenosis, obtaining the pressure difference of the pretreatment model through comparison with the blood vessel inlet pressure, and obtaining the stenosis resistance through dividing the pressure difference by the flow; and extracting blood flow at the stenotic inlet.
5. The system for predicting coronary artery stenosis resistance based on deep learning of claim 1, wherein the features of step a4 are used to establish a stenosis resistance training set and a prediction set based on data extraction and vessel model parameters; 340 different stenosis parameter blood vessels are calculated through steps A1, A2 and A3, the extracted stenosis resistance and blood flow of the blood vessel model and the geometric parameters of the blood vessel model construct a deep learning data set, and the data set is divided into a training set and a testing set.
6. The system for predicting coronary artery stenosis resistance based on deep learning as claimed in claim 1, wherein the step a5 of building a neural network framework based on the BP neural network comprises the following steps:
step D1: establishing a deep learning hidden layer, and setting the number of hidden layers, the number of nodes of the hidden layer, an activation function and the like;
step D2: selecting a proper optimizer, a Loss function and other hyper-parameters;
and B, training a stenosis resistance training set and performing prediction verification on a prediction set based on the characteristics in the step A5. The specific implementation process comprises the following steps:
step F1: importing a training set and a testing set into a program through a pandas module;
step E2: analyzing the influence of the geometric parameters of the blood vessel on the stenosis resistance of the blood vessel model through a correlation coefficient matrix, analyzing and avoiding multiple collinearity among variables, and finally obtaining seven variables with strong correlation, namely an inlet area, a stenosis inlet length, a stenosis outlet length, a minimum stenosis length, a stenosis rate and an inlet blood flow;
step E3: importing the processed data into a neural network framework to adjust the hyper-parameters;
step E4: and saving the training model and executing the prediction of the stenosis resistance of the blood vessel model.
7. The system for predicting coronary artery stenosis resistance based on deep learning of claim 6, wherein the neural network framework is established based on a BP neural network, and the implementation comprises the following steps:
step D1: establishing a deep learning hidden layer and selecting a Dense layer of Keras, setting an input layer to be 7 variables and an output layer to be 1 narrow resistance, setting the hidden layer to be 7 layers, and using an activation function tanh function
Step D2: selecting an adam optimizer to adjust the hyper-parameters such as lr, beta _1, beta _2, epsilon and the like, and selecting an MSE (mean square error) as a Loss function:
8. the system for predicting coronary artery stenosis resistance based on deep learning of claim 6, wherein the features of step a5 are trained on a stenosis resistance training set and verified on a prediction set based on deep learning; the specific implementation process comprises the following steps:
step D1: importing a training set and a testing set into a program through a pandas module;
step D2: analyzing the influence of the geometric parameters of the blood vessel on the stenosis resistance of the blood vessel model through a correlation coefficient matrix, analyzing and avoiding multiple collinearity among variables, and finally obtaining seven variables with strong correlation, namely an inlet area, a stenosis inlet length, a stenosis outlet length, a minimum stenosis length, a stenosis rate and an inlet blood flow;
step D3: importing the processed data into a neural network framework to adjust parameters such as batch _ size, epochs, estimation _ split, estimation _ freq and the like;
step D5: and saving the training model and executing the prediction of the stenosis resistance of the blood vessel model.
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CN113128139B (en) * | 2021-04-21 | 2024-03-29 | 北京工业大学 | Method for calculating FFR (fringe field switching) based on coronary artery zero-dimensional model and stenosis resistance prediction model |
CN116453697B (en) * | 2022-12-30 | 2023-12-19 | 徐州医科大学 | Coronary artery stenosis hemodynamic simulation method and system based on FFR fitting |
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