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Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells

Aymen Laadhari, Ricardo Ruiz-Baier, Alfio Quarteroni
International Journal for Numerical Methods in Engineering
Vol. 96, pp. 712-738, October 2013

Abstract

We propose in this paper an Eulerian finite element approximation of a coupled chemical fluid‐structure interaction problem arising in the study of mesoscopic cardiac biomechanics. We simulate the active response of a myocardial cell (here considered as an anisotropic, hyperelastic, and incompressible material), the propagation of calcium concentrations inside it, and the presence of a surrounding Newtonian fluid. An active strain approach is employed to account for the mechanical activation, and the deformation of the cell membrane is captured using a level set strategy. We address in detail the main features of the proposed method, and we report several numerical experiments aimed at model validation.


Link to publisher's page
@Article{eth_biwi_01433,
  author = {Aymen Laadhari and Ricardo Ruiz-Baier and Alfio Quarteroni},
  title = {Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells},
  journal = {International Journal for Numerical Methods in Engineering},
  year = {2013},
  month = {October},
  pages = {712-738},
  volume = {96},
  number = {},
  keywords = {}
}