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

A. Laadhari, R. Ruiz-Baier, A. Quarteroni

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18 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)712-738
Number of pages27
JournalInternational Journal for Numerical Methods in Engineering
Volume96
Issue number11
DOIs
Publication statusPublished - 14 Dec 2013
Externally publishedYes

Keywords

  • Active mechanics
  • Cardiac cells
  • Finite element approximation
  • Fluid-structure interaction
  • Level set method
  • Orthotropic hyperelastic model

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