论文标题

用于内部再狭窄的多物理建模方法:理论方面和有限元实现

A multiphysics modeling approach for in-stent restenosis: Theoretical aspects and finite element implementation

论文作者

Manjunatha, Kiran, Behr, Marek, Vogt, Felix, Reese, Stefanie

论文摘要

在理解软生物组织中疾病进展方面,硅模型中的发展是固有的。在这项工作中,我们提出了一个完全耦合的Lagrangian有限元框架,该元素复制了在冠状动脉中观察到的固定病后静脉变速箱的过程。建立了耦合的对流反应扩散反应,以跟踪血小板衍生的生长因子浓度的演变,转化的生长因子-Yβ$,细胞外基质和平滑肌细胞的密度。开发了结合动脉壁成分进化的增长的连续机械描述,并讨论了合适的有限元实现。计算模型的定性验证是通过模拟支架动脉来提出的。可以将特定于患者的数据集成到模型中,以预测再狭窄的风险,从而有助于调整支架植入参数以减轻风险。

Development of in silico models are intrinsic in understanding disease progression in soft biological tissues. Within this work, we propose a fully-coupled Lagrangian finite element framework which replicates the process of in-stent restenosis observed post stent implantation in a coronary artery. Coupled advection-reaction-diffusion reactions are set up that track the evolution of the concentrations of the platelet-derived growth factor, the transforming growth factor-$β$, the extracellular matrix, and the density of the smooth muscle cells. A continuum mechanical description of growth incorporating the evolution of arterial wall constituents is developed, and a suitable finite element implementation discussed. Qualitative validation of the computational model are presented by emulating a stented artery. Patient-specific data can be integrated into the model to predict the risk of restenosis and thereby assist in tuning of stent implantation parameters to mitigate the risk.

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