Premium
Fully Eulerian finite element approximation of a fluid‐structure interaction problem in cardiac cells
Author(s) -
Laadhari A.,
RuizBaier R.,
Quarteroni A.
Publication year - 2013
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4582
Subject(s) - hyperelastic material , finite element method , eulerian path , mesoscopic physics , compressibility , fluid–structure interaction , newtonian fluid , mechanics , deformation (meteorology) , finite strain theory , physics , computer science , classical mechanics , mathematics , mathematical analysis , thermodynamics , lagrangian , quantum mechanics , meteorology
SUMMARY 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.