支架展开有限元模拟中球囊型、系统约束及动脉本构模型的研究

A Schiavone, L G Zhao
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引用次数: 49

摘要

有限元是模拟狭窄动脉内支架扩张的有效工具,它提供了对整个支架-动脉系统在手术过程中的生物力学行为的深刻理解。球囊类型、系统约束和动脉本构模型的选择在支架展开有限元模拟中起着重要作用。采用商业有限元软件ABAQUS对狭窄40%的病变动脉内Xience支架的扩张进行建模。用不同的超弹性模型描述由内膜、中膜和外膜层组成的动脉壁和狭窄斑块。考虑折叠气球和橡胶气球,并以1.4 MPa线性增加的压力进行充气。模拟还考虑了自由、部分和完全受限的动脉。与橡胶球囊相比,折叠球囊在较低的压力下产生持续的支架膨胀,从而增加了应力水平,增强了系统的最终膨胀。与自由和部分受限的动脉相比,完全受限的动脉由于后坐力的增加而减少了支架的扩张。动脉-斑块系统中的应力在游离动脉中由于更严重的拉伸而具有更高的强度。与低细胞斑块相比,钙化斑块限制了支架扩张。应变能势中第二个拉伸不变量的忽略导致支架膨胀过程中饱和行为的消失。与各向异性动脉模型相比,各向异性动脉模型的使用减少了系统在峰值压力下的膨胀,但由于减少了后坐力效应,最终直径增加。不同的动脉和斑块本构模型组合,动脉-斑块系统的应力分布也不同。在模拟支架部署时应使用折叠球囊,使用具有适当刚度常数的弹簧元件对动脉进行部分约束。血管应该建模为一个三层结构,使用超弹性势,同时考虑第一和第二拉伸不变量以及各向异性。斑块的组成也必须考虑,因为它对支架部署有重要影响。
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A study of balloon type, system constraint and artery constitutive model used in finite element simulation of stent deployment

Finite element is an effective tool to simulate stent expansion inside stenotic arteries, which provides an insightful understanding of the biomechanical behaviour of the whole stent-artery system during the procedure. The choice of balloon type, system constraint and artery constitutive model plays an important role in finite element simulation of stent deployment.

Commercial finite element package ABAQUS was used to model the expansion of Xience stent inside a diseased artery with 40% stenosis. The arterial wall, consisting of intima, media and adventitia layers, and the stenotic plaque were described by different hyperelastic models. Both folded and rubber balloons were considered and inflated with a linearly increasing pressure of 1.4 MPa. Simulations were also carried out by considering free, partially and fully constrained arteries.

Folded balloon produces sustained stent expansion under a lower pressure when compared to rubber balloon, leading to increased stress level and enhanced final expansion for the system. Fully constrained artery reduces the stent expansion when compared to free and partially constrained arteries, due to the increased recoiling effect. Stress in the artery-plaque system has higher magnitude for stent expansion in a free artery due to more severe stretch. Calcified plaque limits stent expansion considerably when compared to hypocellular plaque. The negligence of the second stretch invariant in the strain energy potential leads to the disappearance of saturation behaviour during stent expansion. The use of anisotropic artery model reduces the system expansion at peak pressure when compared to the isotropic model, but with an increased final diameter due to reduced recoiling effect. The stress distribution in the artery-plaque system is also different for different combinations of artery and plaque constitutive models.

Folded balloon should be used in the simulation of stent deployment, with the artery partially constrained using spring elements with a proper stiffness constant. The blood vessel should be modelled as a three-layer structure using a hyperelastic potential that considers both the first and second stretch invariants as well as the anisotropy. The composition of the plaque also has to be considered due to its major effect on stent deployment.

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