Immersed finite element method and its applications to biological systems
Immersed finite element method and its applications to biological systems
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DOI：
10.1016/j.cma.2005.05.049
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发表时间：
2006-01-01
影响因子：
7.2
通讯作者：
Hsu, HY
中科院分区：
文献类型：
--
作者：
Liu, WK;Liu, YL;Hsu, HY
本文综述了最近发展起来的浸没有限元方法(IFEM)及其在生物系统建模中的应用。这项工作的灵感来自T.J.R.休斯教授在解决流固耦合问题方面的开创性工作。在IFEM中，拉格朗日实体网格在横跨整个计算域的背景欧拉流体网格的顶部移动。因此，大大简化了网格的生成。此外，用有限元方法模拟了流体和固体区域，并用再生核质点方法(RKPM)的增量函数对速度和力的分布进行了内插，增强了流体和固体子域之间的连续性。该方法被用于研究人体心血管系统中遇到的流固耦合问题。目前，心脏模型正在构建中，血管成形术支架的展开过程已经进行了模拟。给出了单核细胞和血小板沉积的一些初步结果。血液流变学，特别是与剪切率相关的红细胞(RBC)簇的解聚和可变形细胞的运输，被模拟。此外，将IFEM与电动力学相结合来研究纳米/生物丝组装的机制，以了解细胞的运动性。(C)2005 Elsevier B.V.保留所有权利。
This paper summarizes the newly developed immersed finite element method (IFEM) and its applications to the modeling of biological systems. This work was inspired by the pioneering work of Professor T.J.R. Hughes in solving fluid-structure interaction problems. In IFEM, a Lagrangian solid mesh moves on top of a background Eulerian fluid mesh which spans the entire computational domain. Hence, mesh generation is greatly simplified. Moreover, both fluid and solid domains are modeled with the finite element method and the continuity between the fluid and solid subdomains is enforced via the interpolation of the velocities and the distribution of the forces with the reproducing Kernel particle method (RKPM) delta function. The proposed method is used to study the fluid-structure interaction problems encountered in human cardiovascular systems. Currently, the heart modeling is being constructed and the deployment process of an angioplasty stent has been simulated. Some preliminary results on monocyte and platelet deposition are presented. Blood rheology, in particular, the shear-rate dependent de-aggregation of red blood cell (RBC) clusters and the transport of deformable cells, are modeled. Furthermore, IFEM is combined with electrokinetics to study the mechanisms of nano/bio filament assembly for the understanding of cell motility. (c) 2005 Elsevier B.V. All rights reserved.