Immersed finite element method and its applications to biological systems.

نویسندگان

  • Wing Kam Liu
  • Yaling Liu
  • David Farrell
  • Lucy Zhang
  • X Sheldon Wang
  • Yoshio Fukui
  • Neelesh Patankar
  • Yongjie Zhang
  • Chandrajit Bajaj
  • Junghoon Lee
  • Juhee Hong
  • Xinyu Chen
  • Huayi Hsu
چکیده

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.

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عنوان ژورنال:
  • Computer methods in applied mechanics and engineering

دوره 195 13-16  شماره 

صفحات  -

تاریخ انتشار 2006