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Immersed finite element method and its applications to biological systems

机译:沉浸式有限元方法及其在生物系统中的应用

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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 sad solid domains are modeled with the finite element method and the continuity between the fluid and solid sub-domains 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 mech-anisms of nano/bio filament assembly for the understanding of cell motility.
机译:本文总结了最新开发的浸入式有限元方法(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.教授的开拓性工作。休斯解决流固耦合问题。在IFEM中,拉格朗日实体网格在覆盖整个计算域的背景欧拉流体网格之上移动。因此,大大简化了网格的生成。此外,两个流体悲伤固体域都使用有限元方法建模,并且流体和固体子域之间的连续性通过速度的插值和力的再现(使用可再生核粒子方法(RKPM)delta函数)来实现。 。所提出的方法用于研究人类心血管系统中遇到的流固耦合问题。当前,心脏模型正在构建中,并且已经模拟了血管成形术支架的部署过程。提出了一些有关单核细胞和血小板沉积的初步结果。对血液流变学,特别是剪切速率依赖的红细胞(RBC)簇的解聚和可变形细胞的运输进行了建模。此外,IFEM与电动学相结合,以研究纳米/生物丝组装的机理,以了解细胞运动性。

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