The immersed boundary method is a widely used mixed Eulerian/Lagrangian framework for simulating the motion of elastic structures immersed in viscous fluids. In this work, we consider a poroelastic immersed boundary method in which a fluid permeates a porous, elastic structure of negligible volume fraction, and extend this method to include stress relaxation of the material. The porous viscoelastic method presented here is validated for a prescribed oscillatory shear and for an expansion driven by the motion at the boundary of a circular material by comparing numerical solutions to an analytical solution of the Maxwell model for viscoelasticity. Finally, an application of the modelling framework to cell biology is provided: passage of a cell through a microfluidic channel. We demonstrate that the rheology of the cell cytoplasm is important for capturing the transit time through a narrow channel in the presence of a pressure drop in the extracellular fluid. doi:10.1017/S1446181118000081
@article{12339,
title = {A porous viscoelastic model for the cell cytoskeleton},
journal = {ANZIAM Journal},
volume = {59},
year = {2018},
doi = {10.21914/anziamj.v59i0.12339},
language = {EN},
url = {http://dml.mathdoc.fr/item/12339}
}
Copos, Calina Anamaria; Guy, Robert D. A porous viscoelastic model for the cell cytoskeleton. ANZIAM Journal, Tome 59 (2018) . doi : 10.21914/anziamj.v59i0.12339. http://gdmltest.u-ga.fr/item/12339/