Disclosure of Invention
In view of the above problems in the prior art, the present invention provides a simulation method for polymer esophageal stent implantation.
In order to solve the technical problems, the technical scheme provided by the invention is as follows:
a simulation method for polymer esophageal stent implantation comprises the following steps of:
1) Extracting an esophagus model from a CT scanning image of an esophageal disease patient, and dividing the esophagus model into a tumor model and an esophageal wall model;
2) Converting the tumor model and the esophageal wall model into finite element models;
3) Assigning material parameters of the tumor and material parameters of the esophageal wall in the finite element model;
4) Arranging a pressing and holding shell of the pressing and holding contracted esophageal stent model, wherein the pressing and holding shell is in a thin-wall cylindrical shape, and then assembling the esophageal stent model and the pressing and holding shell;
5) Pressing the assembled esophageal stent model and the pressing and holding shell into the esophageal model until a preset position is reached;
6) And removing the contact relation between the press-holding shell and the esophageal stent model, removing the compression state of the esophageal stent model, and activating the contact relation between the esophageal stent model and the esophageal wall model, so that the esophageal stent model is self-expanded to be in contact with the tumor-carrying esophageal model and reaches mechanical balance.
Preferably, in step 1), the region of the esophagus and the tumor portion in the CT data is separated from other tissues by the segmentation function of the image analysis software, and a real esophageal model is obtained by three-dimensional reconstruction.
Preferably, in the step 2), the tumor model and the esophageal wall model are subjected to meshing by adopting hexahedral meshes.
Preferably, step 3) includes: selecting a nonlinear superelasticity mechanical model from the material models of the tumor and the esophageal wall;
in ABAQUS, the material nonlinearity problem is solved by the Newton-Raphson method;
in nonlinear analysis, an integral balance iteration method is adopted, the load is divided into a plurality of tiny increments and is gradually applied in the calculation process, and the rigidity matrix is adjusted after each increment of the load is finished;
time steps, iterative processes and convergence criteria need to be controlled;
completing balance iteration in each load increment to enable increment solution to reach balance, namely performing iterative solution on the following formula:
K T Δu=F-F nr ;
in the above formula, K T Is a tangential stiffness matrix;
Δ u is the displacement increment;
f is an external load vector;
F nr is the internal force vector;
the default value is taken to be 0.5% of the average internal force:
||R|| 2 <0.005||F|| 2 ;
in the formula: II R II 2 Is the norm of the residual error; II F II 2 Is the norm of force.
Preferably, in the step 3), the material model of the tumor and the esophageal wall is a nonlinear Mooney-Rivlin model, and the material parameters of the superelasticity model are obtained by performing curve fitting on the stress-strain experimental data;
for superelastic materials with nonlinear anisotropy and isotropy, the stress-strain relationship can be derived from the strain-energy density function;
fitting stress-strain tensile data of the material in order to obtain parameters of a superelastic material model;
the parameters of the superelastic material are obtained from an isotropic 5-constant Mooney-Rivlin model;
the strain energy density function is:
wherein
And
for strain invariants, W is a function of strain energy density, c
10 、c
01 、c
11 、c
20 、c
02 And D
1 Is the super elastic constant.
Preferably, in step 4), a squeezing shell is created to realize a squeezing simulation process, and the squeezing shell is only applied to the squeezing process of the esophageal stent model and does not interact with other component models, and the property of the squeezing shell is set as a deformable shell surface.
Preferably, in the step 5), the pressing and holding shell and the esophageal stent model are in surface-to-surface contact, and the universal contact is used as an interaction type;
the friction formula is set as a penalty function, and the friction coefficient is 0.2;
and creating a normal behavior, setting the contact attribute as hard contact, setting the constraint execution method as Standard, and setting the contact rigidity behavior as nonlinear.
Preferably, in the step 5), setting the esophageal stent model and boundary conditions of the esophageal model, including taking one point at the center of one end of the cylindrical surface of the stent as an origin of coordinates, creating a cylindrical coordinate system taking the axis of the cylindrical surface as a Z axis, and taking the direction of a T axis as the radial direction of the stent;
the pressing and holding shell only generates displacement in the T-axis direction, and the displacement in the other directions is set to be 0;
the freedom degrees of one end node of the esophagus model are all restricted except the T axis, so that the esophagus model can only deform in the radial direction after being loaded and cannot rotate around the Z axis.
Preferably, in the step 5), the maximum outer diameter of the esophageal stent model is set to be attached to the pressing and holding shell;
placing the esophageal stent model in a lesion area in the esophageal model;
the esophageal stent model is set to self-expand to cause deformation of the esophageal lesion area.
The application provides a simulation method for polymer esophageal stent implantation, which comprises the following steps in sequence: 1) Extracting an esophagus model from a CT scanning image of an esophageal disease patient, and then dividing the esophagus model into a tumor model and an esophageal wall model; 2) Converting the tumor model and the esophageal wall model into finite element models; 3) Assigning material parameters of the tumor and material parameters of the esophageal wall in the finite element model; 4) Arranging a pressing and holding shell of the pressing and holding contracted esophageal stent model, wherein the pressing and holding shell is in a thin-wall cylindrical shape, and then assembling the esophageal stent model and the pressing and holding shell; 5) Pressing the assembled esophageal stent model and the pressing and holding shell into the esophageal model until a preset position is reached; 6) Removing the contact relation between the press-holding shell and the esophageal stent model, removing the compression state of the esophageal stent model, activating the contact relation between the esophageal stent model and the esophageal wall model, and enabling the esophageal stent model to self-expand to be in contact with the tumor-carrying esophageal model and reach mechanical balance;
the application simulates the biomechanics of the implanted esophageal stent, represents the interaction between the esophageal stent and the esophagus, so as to clarify the migration mechanism of the esophageal stent, design the esophageal stent more conforming to the structure of a human body and provide reference for clinical treatment;
the simulation method provided by the application can provide certain theoretical basis and guidance for the design of the esophageal stent clinical treatment scheme.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the embodiments of the present invention, and it is obvious that the described embodiments are a part of the embodiments of the present invention, but not all of the embodiments. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
The application provides a simulation method for polymer esophageal stent implantation, which comprises the following steps in sequence:
1) Extracting an esophagus model from a CT scanning image of an esophageal disease patient, and then dividing the esophagus model into a tumor model and an esophageal wall model;
2) Converting the tumor model and the esophageal wall model into a finite element model;
3) Assigning material parameters of the tumor and material parameters of the esophageal wall in the finite element model;
4) Arranging a pressing and holding shell of the pressing and holding contracted esophageal stent model, wherein the pressing and holding shell is in a thin-wall cylindrical shape, and then assembling the esophageal stent model and the pressing and holding shell;
5) Pressing the assembled esophageal stent model and the pressing shell into the esophageal model until a preset position is reached;
6) And removing the contact relation between the press-holding shell and the esophageal stent model, removing the compression state of the esophageal stent model, and activating the contact relation between the esophageal stent model and the esophageal wall model, so that the esophageal stent model is self-expanded to be in contact with the tumor-carrying esophageal model and reaches mechanical balance.
In one embodiment of the present application, in step 1), the region of the esophagus and the tumor portion in the CT data is separated from other tissues by the segmentation function of the image analysis software, and a real esophageal model is obtained by three-dimensional reconstruction.
In one embodiment of the present application, in step 2), the tumor model and the esophageal wall model are gridded using hexahedral mesh.
In one embodiment of the present application, step 3) includes: selecting a nonlinear superelasticity mechanical model for the material models of the tumor and the esophageal wall;
in ABAQUS, the material nonlinearity problem is solved by the Newton-Raphson method;
in the nonlinear analysis, an integral balance iteration method is adopted, the load needs to be divided into a plurality of tiny increments in the calculation process and is gradually applied, and the rigidity matrix is adjusted after each increment of the load is finished;
time steps, iterative processes and convergence criteria need to be controlled;
completing balance iteration in each load increment to enable increment solution to reach balance, namely performing iterative solution on the following formula:
K T Δu=F-F nr ;
in the above formula, K T Is a tangential stiffness matrix;
Δ u is the displacement increment;
f is an external load vector;
F nr is the internal force vector;
in the iteration process, the result obtained by the calculation of each incremental step is only a result infinitely close to an analytic solution, and an accurate solution cannot be obtained, only when a residual error (unbalance force) F-F nr Within the convergence criterion range, the nonlinear calculation can be converged;
default values are taken to be 0.5% of the average internal force:
||R|| 2 <0.005||F || 2 ;
in the formula: II R II 2 Is the norm of the residual error; II F II 2 Is the norm of the force.
In one embodiment of the present application, in step 3), the non-linear Mooney-Rivlin model is selected as the material model of the tumor and esophageal wall, and the material parameters of the superelastic model are obtained by curve fitting of the stress-strain experimental data;
for superelastic materials with nonlinear anisotropy and isotropy, the stress-strain relationship can be derived from the strain-energy density function;
fitting stress-strain elongation data of the material in order to obtain parameters of a superelastic material model;
the parameters of the super-elastic material are obtained by an isotropic 5-constant Mooney-Rivlin model;
the strain energy density function is:
wherein
And
for strain invariants, W is a function of strain energy density, c
10 、c
01 、c
11 、c
20 、c
02 And D
1 Is the super elastic constant.
In one embodiment of the present application, in step 4), a squeezing shell is created to implement a squeezing simulation process, and the squeezing shell is only applied to the squeezing process of the esophageal stent model, and does not interact with other component models, and the property of the squeezing shell is set as a deformable shell surface.
In one embodiment of the application, in the step 5), the pressing and holding shell and the esophageal stent model are arranged to be in surface-to-surface contact, and the common contact is used as an interaction type;
the friction formula is set as a penalty function, and the friction coefficient is 0.2;
and creating a normal behavior, setting the contact attribute as hard contact, setting the constraint execution method as Standard, and setting the contact rigidity behavior as nonlinear.
In an embodiment of the application, in step 5), setting the esophageal stent model and boundary conditions of the esophageal stent model, including taking a point at the center of one end of a cylindrical surface of the stent as an origin of coordinates, creating a cylindrical coordinate system taking the axis of the cylindrical surface as a Z axis, and taking a T axis direction as a radial direction of the stent;
the pressing and holding shell only generates displacement in the T-axis direction, and the displacement in the other directions is set to be 0;
the freedom degrees of one end node of the esophagus model are all restricted except the T axis, so that the esophagus model can only deform in the radial direction after being loaded and cannot rotate around the Z axis.
In one embodiment of the application, in the step 5), the maximum outer diameter of the esophageal stent model is set to be attached to the pressing and holding shell;
placing the esophageal stent model in a lesion area in the esophageal model;
the esophageal stent model is set to self-expand to cause deformation of the esophageal lesion area.
In the present application: the function and function of the press-holding shell are as follows: in reality, the maximum outer diameter of the esophageal stent is larger than the inner diameter of the esophagus, and the esophageal stent is radially tightened to a pressing and holding state by using the conveying catheter, so that the outer diameter of the esophageal stent is reduced to meet the condition of being placed in the esophagus;
in finite element simulation, a pressing and holding shell is created to simulate and serve as a real conveying catheter, the pressing and holding shell is sleeved on an esophageal stent model, the esophageal stent model is sleeved in the pressing and holding shell, external force is generated by the pressing and holding shell to radially press and hold the esophageal stent model, the outer diameter of the esophageal stent model before the esophageal stent model is placed in the esophageal model is smaller than the inner diameter of the esophageal model, the esophageal stent model and the pressing and holding shell are smoothly placed in the esophageal model, then the pressing and holding shell is pulled out, and the esophageal stent model is released and expanded to the original outer diameter after the pressing and holding shell is pulled out.
Methods and devices not described in detail in the present invention are all the prior art and are not described in detail.
For further understanding of the present invention, the following examples are provided to describe the simulation method for esophageal stent implantation in detail, and the scope of the present invention is not limited by the following examples.
Example 1
A simulation method for polymer esophageal stent implantation comprises the following steps of:
1) Extracting an esophagus model from the CT scanning image of the patient with the esophageal disease:
specifically, the step of extracting the esophageal model from the CT scanning image of the esophageal disease patient can be performed by medical image software such as Mimics and the like;
the method for extracting the esophagus model from the CT scanning image of the patient with the esophageal disease comprises the following steps: carrying out threshold segmentation according to the gray level of esophageal tissues in the medical image, carrying out preliminary segmentation on human tissues by using a threshold segmentation tool, carrying out preliminary stripping on the esophageal tissues and other tissues in the image by adjusting the threshold range, and acquiring a preliminary extraction esophageal model;
performing detail repair on the tumor-carrying esophagus model layer by layer in a two-dimensional environment by using 3-Matic software and two-dimensional editing tools, namely Edit Masks and Multiple slice edge, and finally obtaining a primarily separated tumor-carrying esophagus model;
carrying out simple Smoothing treatment on the model by using a Smoothing tool to obtain a relatively smooth tumor-carrying esophagus model;
finally, performing cavitation processing on the model by using a Boolean operation tool;
2) The esophageal model was transformed into a finite element model:
a step of transforming the tumor model and the esophageal wall model into a finite element model, comprising: introducing the model into ABAQUS, selecting 'Seed' from a main menu, and designating the target of the integral unit subdivision size as 1; selecting 'Mesh' and 'Element Type' from a main menu as a component selection unit Type; displaying a dynamics reduction integral eight-node unit C3D8R in a popped up 'Element Type' dialog box to perform meshing on the tumor model and the esophageal wall model, wherein the size of the meshing unit is 1mm;
in addition, for the positions with large curvature and large stress of the tumor model and the esophageal wall model, in order to obtain more accurate results in the simulation process, grid encryption processing is carried out by adopting the grid size of 0.5 mm;
3) Material parameters assigned to the finite element model:
setting material properties of the tumor and esophageal wall in the finite element model, comprising: the material model of the tumor and the esophageal wall is a nonlinear superelasticity model (Mooney-Rivlin model), and the material parameters of the superelasticity model are obtained by performing curve fitting on stress-strain experimental data;
for superelastic materials with nonlinear anisotropy and isotropy, the stress-strain relationship can be derived from the strain-energy density function;
fitting stress-strain tensile data of the material in order to obtain parameters of a superelastic material model;
the parameters of the super-elastic material are obtained by an isotropic 5-constant Mooney-Rivlin model;
its strain energy density function is:
wherein
And
for strain invariants, W is a function of strain energy density, c
10 ,c
01 ,c
11 ,c
20 ,c
02 And D
1 Is the super elastic constant;
the Mooney-Rivlin parameters of the esophageal stent model and the esophageal model are shown in table 1;
TABLE 1 Mooney-Rivlin parameters of esophageal Stent models and esophageal models
4) The pressing and holding shell is arranged to assemble the model:
assembling the esophageal stent model and the pressing shell, so that the centers of circles of the esophageal stent model, the tumor-carrying esophageal model and the pressing shell are located on the same straight line;
5) Compressing an esophageal stent model into an esophageal model, comprising: pressing the esophageal stent model into the esophageal model until a preset position is reached, and in the compression process, pressing the shell to compress the maximum outer diameter of the esophageal stent model to be smaller than the minimum inner diameter of the tumor-carrying esophageal model;
the step of adjusting the position of the esophageal stent model comprises the following steps: setting the maximum outer diameter of the esophageal stent model to be attached to the pressing and holding shell; placing an esophageal stent model in a tumor region in an esophageal model; setting the esophageal stent model to expand to cause deformation of the tumor area;
before the esophageal stent model is pressed into the esophageal model, the maximum outer diameter of the esophageal stent model is larger than the diameter of the tumor area;
6) The esophageal stent model is self-expanded to contact with the esophageal model and reach mechanical balance:
after the esophageal stent model is pressed into the esophageal model until the esophageal stent model reaches a preset position, the contact relation between the pressing and holding shell and the esophageal stent model is removed, the compression state of the esophageal stent model is relieved, the contact relation between the esophageal stent model and the esophageal wall model is activated, and the esophageal stent model is enabled to self-expand to be in contact with the tumor-carrying esophageal model and reach mechanical balance.
The above description of the embodiments is only intended to facilitate the understanding of the method of the invention and its core idea. It should be noted that, for those skilled in the art, it is possible to make various improvements and modifications to the present invention without departing from the principle of the present invention, and those improvements and modifications also fall within the scope of the claims of the present invention.