CN113749833B - Finite element analysis method of vascular stent and vascular stent - Google Patents
Finite element analysis method of vascular stent and vascular stent Download PDFInfo
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- CN113749833B CN113749833B CN202111080378.3A CN202111080378A CN113749833B CN 113749833 B CN113749833 B CN 113749833B CN 202111080378 A CN202111080378 A CN 202111080378A CN 113749833 B CN113749833 B CN 113749833B
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- 230000002792 vascular Effects 0.000 title claims abstract description 88
- 238000004458 analytical method Methods 0.000 title claims abstract description 42
- 210000001772 blood platelet Anatomy 0.000 claims abstract description 47
- 239000000463 material Substances 0.000 claims abstract description 25
- 210000004204 blood vessel Anatomy 0.000 claims abstract description 17
- 238000000034 method Methods 0.000 claims abstract description 15
- 230000008859 change Effects 0.000 claims abstract description 10
- 239000013013 elastic material Substances 0.000 claims abstract description 6
- 229910004337 Ti-Ni Inorganic materials 0.000 claims description 3
- 229910011209 Ti—Ni Inorganic materials 0.000 claims description 3
- KHYBPSFKEHXSLX-UHFFFAOYSA-N iminotitanium Chemical compound [Ti]=N KHYBPSFKEHXSLX-UHFFFAOYSA-N 0.000 claims description 3
- 230000009467 reduction Effects 0.000 claims description 3
- 229910001285 shape-memory alloy Inorganic materials 0.000 claims description 3
- 239000010935 stainless steel Substances 0.000 claims description 3
- 229910001220 stainless steel Inorganic materials 0.000 claims description 3
- 210000004027 cell Anatomy 0.000 claims description 2
- 208000024172 Cardiovascular disease Diseases 0.000 description 2
- 238000009825 accumulation Methods 0.000 description 2
- 210000000709 aorta Anatomy 0.000 description 2
- 208000029078 coronary artery disease Diseases 0.000 description 2
- 230000006870 function Effects 0.000 description 2
- 210000004165 myocardium Anatomy 0.000 description 2
- 238000004393 prognosis Methods 0.000 description 2
- 208000024891 symptom Diseases 0.000 description 2
- 210000002435 tendon Anatomy 0.000 description 2
- 206010002383 Angina Pectoris Diseases 0.000 description 1
- 201000000057 Coronary Stenosis Diseases 0.000 description 1
- 206010011089 Coronary artery stenosis Diseases 0.000 description 1
- 208000031481 Pathologic Constriction Diseases 0.000 description 1
- 210000004712 air sac Anatomy 0.000 description 1
- 230000015572 biosynthetic process Effects 0.000 description 1
- 210000004369 blood Anatomy 0.000 description 1
- 239000008280 blood Substances 0.000 description 1
- 230000017531 blood circulation Effects 0.000 description 1
- 230000036770 blood supply Effects 0.000 description 1
- 201000011510 cancer Diseases 0.000 description 1
- 210000004351 coronary vessel Anatomy 0.000 description 1
- 230000008021 deposition Effects 0.000 description 1
- 235000005911 diet Nutrition 0.000 description 1
- 230000000378 dietary effect Effects 0.000 description 1
- 229940079593 drug Drugs 0.000 description 1
- 239000003814 drug Substances 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 208000028867 ischemia Diseases 0.000 description 1
- 230000000302 ischemic effect Effects 0.000 description 1
- 230000003902 lesion Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 208000010125 myocardial infarction Diseases 0.000 description 1
- 238000011084 recovery Methods 0.000 description 1
- 230000036262 stenosis Effects 0.000 description 1
- 208000037804 stenosis Diseases 0.000 description 1
- 238000001356 surgical procedure Methods 0.000 description 1
Classifications
-
- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61F—FILTERS IMPLANTABLE INTO BLOOD VESSELS; PROSTHESES; DEVICES PROVIDING PATENCY TO, OR PREVENTING COLLAPSING OF, TUBULAR STRUCTURES OF THE BODY, e.g. STENTS; ORTHOPAEDIC, NURSING OR CONTRACEPTIVE DEVICES; FOMENTATION; TREATMENT OR PROTECTION OF EYES OR EARS; BANDAGES, DRESSINGS OR ABSORBENT PADS; FIRST-AID KITS
- A61F2/00—Filters implantable into blood vessels; Prostheses, i.e. artificial substitutes or replacements for parts of the body; Appliances for connecting them with the body; Devices providing patency to, or preventing collapsing of, tubular structures of the body, e.g. stents
- A61F2/82—Devices providing patency to, or preventing collapsing of, tubular structures of the body, e.g. stents
- A61F2/86—Stents in a form characterised by the wire-like elements; Stents in the form characterised by a net-like or mesh-like structure
-
- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61F—FILTERS IMPLANTABLE INTO BLOOD VESSELS; PROSTHESES; DEVICES PROVIDING PATENCY TO, OR PREVENTING COLLAPSING OF, TUBULAR STRUCTURES OF THE BODY, e.g. STENTS; ORTHOPAEDIC, NURSING OR CONTRACEPTIVE DEVICES; FOMENTATION; TREATMENT OR PROTECTION OF EYES OR EARS; BANDAGES, DRESSINGS OR ABSORBENT PADS; FIRST-AID KITS
- A61F2240/00—Manufacturing or designing of prostheses classified in groups A61F2/00 - A61F2/26 or A61F2/82 or A61F9/00 or A61F11/00 or subgroups thereof
- A61F2240/001—Designing or manufacturing processes
-
- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61F—FILTERS IMPLANTABLE INTO BLOOD VESSELS; PROSTHESES; DEVICES PROVIDING PATENCY TO, OR PREVENTING COLLAPSING OF, TUBULAR STRUCTURES OF THE BODY, e.g. STENTS; ORTHOPAEDIC, NURSING OR CONTRACEPTIVE DEVICES; FOMENTATION; TREATMENT OR PROTECTION OF EYES OR EARS; BANDAGES, DRESSINGS OR ABSORBENT PADS; FIRST-AID KITS
- A61F2240/00—Manufacturing or designing of prostheses classified in groups A61F2/00 - A61F2/26 or A61F2/82 or A61F9/00 or A61F11/00 or subgroups thereof
- A61F2240/001—Designing or manufacturing processes
- A61F2240/008—Means for testing implantable prostheses
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
Abstract
The present disclosure relates to a finite element analysis method of a vascular stent and the vascular stent, the method comprising: establishing a three-dimensional model of the vascular stent; introducing the three-dimensional model of the vascular stent into ABAQUS software; constructing a blood vessel model on a three-dimensional model of a blood vessel bracket, wherein the blood vessel model is a tubular model made of elastic materials with the wall thickness of D, a certain number of blood platelet forms are accumulated on the inner wall of the tubular model to form a blood platelet model, and the maximum thickness of the blood platelet model is D; disposing into the balloon model at a maximum thickness of the platelet model; respectively carrying out grid division on the three-dimensional model of the vascular stent, the blood platelets and the vascular model; stress analysis is carried out on the three-dimensional model of the vascular stent, the blood platelets and the vascular model after grid division; and obtaining a maximum equivalent stress change curve of the vascular stent according to the stress analysis result, and judging whether the vascular stent is likely to rebound according to the maximum equivalent stress change curve and the material parameters. The method can guide the design of the vascular stent.
Description
Technical Field
The invention relates to an analysis method of medical equipment, in particular to a finite element analysis method of a vascular stent. The invention also relates to a vascular stent designed by the analysis method.
Background
Along with the continuous improvement of living standard of people in China, the dietary structure is changed, so that the incidence rate of cardiovascular diseases is directly increased, and the death rate of the cardiovascular diseases possibly exceeds that of malignant tumors to be the first. In the past, the treatment of coronary heart disease in China is mainly conservative treatment of medical medicines, and aims to control symptoms, relieve angina and reduce myocardial infarction, but can not truly improve the ischemia condition of the heart muscle of a patient. Clinically, aiming at the treatment of coronary heart disease, a bracket operation or bypass operation can be carried out according to the condition requirement. The stent operation, as the name implies, is to place a vascular stent in the lesion section on the basis of the expansion and the formation of the lumen balloon so as to achieve the purposes of supporting the blood vessel in the narrow occlusion section, reducing the elastic retraction and the reshaping of the blood vessel and keeping the lumen blood flow smooth. The bypass operation is to remove a blood vessel from the patient, one end of the blood vessel is sutured at the distal end of the coronary artery stenosis, and the other end of the blood vessel is sutured on the aorta. Blood passes from the aorta through the bridge to the distal end of the blocked coronary artery. The ischemic myocardium reestablishes good blood supply after bypass surgery. Compared with the two, the stent operation has the advantages of small wound, good prognosis and quick recovery of patients. However, it is only suitable for patients with a low degree of symptoms, and has a certain chance of recurrence. In relapsed patients, however, clinical follow-up studies have resulted in some degree of recoil of the stent. The reasons for rebound are complex in practice, and the vascular environment is deteriorated due to the living habit of the patient, and the vascular stent is unreasonable in design or unreasonable in material.
At present, in the prior art, aiming at the design of the vascular stent, a finite element analysis method is generally adopted to carry out load analysis on the vascular stent designed by early modeling so as to judge the resilience force of the vascular stent, and then the vascular stent is comprehensively judged by combining the material characteristics. However, the finite element analysis method currently based on does not take into consideration the load change caused by the accumulation of platelets in blood vessels in practical operation. So its accuracy is generally not high.
Disclosure of Invention
In view of the foregoing problems with the prior art, it is an object of the present invention to provide a method for finite element analysis of a vascular stent that simulates the accumulation of a certain amount of platelets, thereby achieving a more accurate analysis result, and guiding the design of the vascular stent.
In order to achieve the above object, according to one aspect of the present invention, there is provided a finite element analysis method for a vascular stent, comprising:
establishing a three-dimensional model of the vascular stent;
introducing the three-dimensional model of the vascular stent into ABAQUS software;
constructing a blood vessel model on a three-dimensional model of a blood vessel bracket, wherein the blood vessel model is a tubular model made of elastic materials with the wall thickness of D, a certain number of blood platelet forms are accumulated on the inner wall of the tubular model to form a blood platelet model, and the maximum thickness of the blood platelet model is D;
disposing into the balloon model at a maximum thickness of the platelet model;
respectively carrying out grid division on the three-dimensional model of the vascular stent, the blood platelets and the vascular model;
stress analysis is carried out on the three-dimensional model of the vascular stent, the blood platelets and the vascular model after grid division;
and obtaining a maximum equivalent stress change curve of the vascular stent according to the stress analysis result, and judging whether the vascular stent is likely to rebound according to the maximum equivalent stress change curve and the material parameters.
Preferably, in the case of performing stress analysis, a model equivalent stress analysis is performed.
Preferably, when the maximum equivalent stress variation curve is obtained according to the stress equivalent analysis, the curve is drawn according to the following function:
wherein f 0 For initial stress, L is the minimum length of the vascular stent during deformation, L is the maximum length of the vascular stent during deformation, D is the maximum thickness of simulated accumulated platelets, D is the wall thickness of the vascular model, and a and b are constants determined according to the material of the vascular stent.
Preferably, in the grid division, a dynamic reduction integral four-node unit M3D4R is adopted for an air bag model, the size of a unit in the grid division is 0.1mm, and an elastic model is adopted for a material model of the air bag.
Preferably, when grid division is carried out, a display dynamics reduced integral eight-node unit C3D8R is adopted for a vascular stent model, the size of the grid division unit is 0.01mm, and a vascular stent material model is made of stainless steel or Ti-Ni memory alloy.
Preferably, when grid division is performed, a display dynamics reduced integral eight-node unit C3D8R is adopted for a platelet model, the cell size of the grid division is 0.2mm, and a six-term superelastic model is adopted as a material model of the platelet.
Preferably, the vascular model adopts a display dynamics reduced integral eight-node unit C3D8R, the unit size of grid division is 0.3mm, and a nonlinear super-elastic model (such as Neo-Hookean) is selected as a material model of the blood platelet.
Preferably, before the equivalent stress analysis is performed, in the ABAQUS software, the main ribs and the connecting ribs of the vascular stent model are set to be in constraint connection, and the platelet model and the vascular model are set to be in constraint connection.
Preferably, the balloon model and the stent model, the stent model and the platelet model, and the balloon model and the platelet model are all surface-connected when the balloon model is inflated.
The invention also provides a vascular stent designed by the method, which comprises an annular main rib made of elastic materials and connecting ribs sequentially connected with the main ribs, wherein the main rib is bent into a wave shape and provided with a first peak representing a wave crest and a second peak representing a wave trough.
Compared with the prior art, the finite element analysis method of the vascular stent provided by the invention can simulate rebound caused by overlarge stress possibly occurring in the vascular stent when platelet deposition occurs again in a period of time after prognosis of a patient. The analysis method can well guide the material and structural design of the vascular stent.
Drawings
Fig. 1 is a flow chart of a finite element analysis method of a vascular stent of the present invention.
Fig. 2 is a stent designed according to the finite element analysis method of the present invention with reference to the stent of the present invention.
Fig. 3 is another stent of the present invention designed with reference to the finite element analysis method of the stent of the present invention.
Fig. 4 is a further stent of the present invention designed with reference to the finite element analysis method of the stent of the present invention.
Fig. 5 is a further stent of the present invention designed with reference to the finite element analysis method of the stent of the present invention.
Detailed Description
The present invention will be described in detail below with reference to the drawings and detailed description to enable those skilled in the art to better understand the technical scheme of the present invention.
Various aspects and features of the present invention are described herein with reference to the accompanying drawings.
These and other characteristics of the invention will become apparent from the following description of a preferred form of embodiment, given as a non-limiting example, with reference to the accompanying drawings.
It is also to be understood that, although the invention has been described with reference to some specific examples, a person skilled in the art will certainly be able to achieve many other equivalent forms of the invention, having the characteristics as set forth in the claims and hence all coming within the field of protection defined thereby.
The above and other aspects, features and advantages of the present invention will become more apparent in light of the following detailed description when taken in conjunction with the accompanying drawings.
As shown in fig. 1, a finite element analysis method of a vascular stent according to an aspect of the present invention provided by an embodiment of the present invention includes:
establishing a three-dimensional model of the vascular stent; the step of creating the three-dimensional model can be performed by common design software such as creo, solidWorks or inventor.
Introducing the three-dimensional model of the vascular stent into ABAQUS software; the ABAQUS software is here another type of finite element analysis element known to those skilled in the art.
After the vascular stent model is introduced, a vascular model is built on the three-dimensional model of the vascular stent, the vascular model is a tubular model made of elastic materials with the wall thickness of D, a certain number of blood platelet forms are accumulated on the inner wall of the tubular model, and the maximum thickness of the blood platelet model is D; this step serves to simulate the stenosis of the vessel of the patient prior to the stenting procedure, and may also be used to simulate the recurrence of a number of platelet aggregates within a period of time after the procedure.
Then disposing the platelet model into the air sac model at the maximum thickness of the platelet model; respectively carrying out grid division on the three-dimensional model of the vascular stent, the blood platelets and the vascular model; when grid division is carried out, dynamic reduction integral four-node units M3D4R are adopted for an air bag model, the size of the units in the grid division is 0.1mm, and an elastic model is adopted for a material model of the air bag. When grid division is carried out, a display dynamics reduced integral eight-node unit C3D8R is adopted for a vascular stent model, the size of the grid divided unit is 0.01mm, and a vascular stent material model is made of stainless steel or Ti-Ni memory alloy. When grid division is carried out, a display dynamics reduced integral eight-node unit C3D8R is adopted for a platelet model, the size of the grid divided unit is 0.2mm, and a six-term superelastic model is adopted for a platelet material model. The vascular model adopts a display dynamics reduced integral eight-node unit C3D8R, the unit size of grid division is 0.3mm, and a nonlinear super-elastic model (such as Neo-Hookean) is selected as a material model of the blood platelet.
Stress analysis is carried out on the three-dimensional model of the vascular stent, the blood platelets and the vascular model after grid division; in the case of stress analysis, a model equivalent stress analysis is preferably performed. Before equivalent stress analysis is carried out, main tendons and connecting tendons of the vascular stent model are set to be in constraint connection in ABAQUS software, and simultaneously, a platelet model and the vascular model are set to be in constraint connection. When the air bag model is inflated, the air bag model and the blood vessel bracket model, the blood vessel bracket model and the blood platelet model are arranged and are connected through the surface.
And obtaining a maximum equivalent stress change curve of the vascular stent according to the stress analysis result, and judging whether the vascular stent is likely to rebound according to the maximum equivalent stress change curve and the material parameters. When the maximum equivalent stress change curve is obtained according to the stress equivalent analysis, the curve is drawn according to the following function:
wherein f 0 For initial stress, L is the minimum length of the vascular stent during deformation, L is the maximum length of the vascular stent during deformation, D is the maximum thickness of simulated accumulated platelets, D is the wall thickness of the vascular model, and a and b are constants determined according to the material of the vascular stent.
Fig. 2 to 5 also show a vascular stent designed with reference to the finite element analysis method of the vascular stent of the present invention, which comprises a ring-shaped main rib made of an elastic material and connecting ribs sequentially connecting a plurality of main ribs, wherein the main ribs are bent in a wave shape and have a first peak representing a peak and a second peak representing a trough.
Specifically, in fig. 2, the stent 10 includes a plurality of wavy main ribs 11, each having a first apex 111 and a second apex 112, the first apex 111 of one main rib 11 is opposite to the second apex 112 of another adjacent main rib, and the first apex 111 and the second apex are connected by a connecting rib 12. The main rib 11 and the connecting rib 12 are the same in material, width and thickness.
In the stent 20 shown in fig. 3, however, the stent 20 includes a plurality of wavy main ribs 21 each having a first apex 211 and a second apex 212, the first apex 211 of one main rib 21 is opposite to the second apex 212 of another adjacent main rib, and the first apex 211 and the second apex are connected by a connecting rib 22, substantially similar to the structure shown in fig. 2. It can also be seen that in this embodiment, the two sides constituting the first vertex 211 and the second vertex 212 of the wavy main rib 21 are parallel. The main rib 21 and the connecting rib 22 are the same in material, width and thickness.
In the vascular stent 30 shown in fig. 4, the wavy structure of the main rib 31 is a broken line, and the first peak 311 and the second peak 312 thereof each comprise a part of connecting ribs, the first peak 311 of one main rib 31 is opposite to the second peak 312 of another adjacent main rib, and the first peak 311 and the second peak 312 form a complete connecting rib 32 when connected. In this embodiment, however, the connecting ribs are of a different material and/or size than the main ribs, and the size may be of a material, width or thickness.
Finally, in yet another embodiment shown in fig. 5, the stent 40 comprises a plurality of undulating primary ribs 41, each primary rib 41 having a first apex 411 and a second apex 412, but in this embodiment, the connecting ribs 42 are not connected to the first apex 411 and the second apex 412, but are connected at approximately the middle of the first apex 411 and the second apex 412 of the primary rib 41.
The above embodiments are only exemplary embodiments of the present invention and are not intended to limit the present invention, the scope of which is defined by the claims. Various modifications and equivalent arrangements of this invention will occur to those skilled in the art, and are intended to be within the spirit and scope of the invention.
Claims (8)
1. A method of finite element analysis of a vascular stent, comprising:
establishing a three-dimensional model of the vascular stent;
introducing the three-dimensional model of the vascular stent into ABAQUS software;
constructing a blood vessel model on a three-dimensional model of a blood vessel bracket, wherein the blood vessel model is a tubular model made of elastic materials with the wall thickness of D, a certain number of blood platelet forms are accumulated on the inner wall of the tubular model to form a blood platelet model, and the maximum thickness of the blood platelet model is D;
disposing into the balloon model at a maximum thickness of the platelet model;
respectively carrying out grid division on the three-dimensional model of the vascular stent, the blood platelets and the vascular model;
stress analysis is carried out on the three-dimensional model of the vascular stent, the blood platelets and the vascular model after grid division;
and obtaining a maximum equivalent stress change curve of the vascular stent according to the stress analysis result, and judging whether the vascular stent is likely to rebound according to the maximum equivalent stress change curve and the material parameters of the vascular stent.
2. The method of claim 1, wherein a paradigm equivalent stress analysis is performed when performing the stress analysis.
3. The method of claim 1, wherein in the mesh division, a kinetic reduction integral four-node unit M3D4R is adopted for an air bag model, the size of a unit in the mesh division is 0.1mm, and an elastic model is adopted for a material model of the air bag.
4. The method according to claim 1, wherein the display dynamics reduced integral eight-node unit C3D8R is adopted for a vascular stent model when grid division is carried out, the size of the grid division unit is 0.01mm, and the vascular stent material model is made of stainless steel or Ti-Ni memory alloy.
5. The method of claim 1, wherein the method comprises the step of performing grid division by adopting a display dynamics reduced integral eight-node unit C3D8R for a platelet model, wherein the cell size of the grid division is 0.2mm, and the material model of the platelet is a six-term superelastic model.
6. The method of claim 1, wherein the vessel model adopts a display dynamics reduced integral eight-node unit C3D8R, the unit size of grid division is 0.3mm, and the material model of the blood platelet adopts a nonlinear super-elastic model.
7. The method of claim 1, wherein prior to performing the equivalent stress analysis, the main ribs and the connecting ribs of the vascular stent model are set as constraint connections, and the platelet model and the vascular model are set as constraint connections in ABAQUS software.
8. The method of claim 1, wherein the balloon model and the stent model, the stent model and the platelet model, and the balloon model and the platelet model are all face-connected when the balloon model is inflated.
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| CN202111080378.3A CN113749833B (en) | 2021-09-15 | 2021-09-15 | Finite element analysis method of vascular stent and vascular stent |
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| CN202111080378.3A CN113749833B (en) | 2021-09-15 | 2021-09-15 | Finite element analysis method of vascular stent and vascular stent |
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| CN113749833B true CN113749833B (en) | 2023-12-15 |
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Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2009213617A (en) * | 2008-03-10 | 2009-09-24 | Tokai Univ | Stent shape optimization simulator |
| CN110580400A (en) * | 2019-10-07 | 2019-12-17 | 泰州市荣诚纸制品有限公司 | Vascular stent bearing capacity judgment method based on hydrodynamics |
| CN110866354A (en) * | 2019-11-08 | 2020-03-06 | 大连理工大学 | Optimized design method of polymer vascular stent structure considering scale effect |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2009049681A1 (en) * | 2007-10-19 | 2009-04-23 | Vascops | Automatic geometrical and mechanical analyzing method and system for tubular structures |
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Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2009213617A (en) * | 2008-03-10 | 2009-09-24 | Tokai Univ | Stent shape optimization simulator |
| CN110580400A (en) * | 2019-10-07 | 2019-12-17 | 泰州市荣诚纸制品有限公司 | Vascular stent bearing capacity judgment method based on hydrodynamics |
| CN110866354A (en) * | 2019-11-08 | 2020-03-06 | 大连理工大学 | Optimized design method of polymer vascular stent structure considering scale effect |
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| CN113749833A (en) | 2021-12-07 |
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