Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells
Keywords
Computational Medicine for the Cardiocirculatory System
Code:
55/2013
Title:
Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells
Date:
Wednesday 13th November 2013
Author(s):
Laadhari, A.; Ruiz-Baier, R.; Quarteroni, A.
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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. Copyright © 2013 John Wiley & Sons, Ltd.