Math. Model. Nat. Phenom.
Volume 9, Number 1, 2014Issue dedicated to Michael Mackey
|Page(s)||27 - 38|
|Published online||07 February 2014|
A Fluid-Structure Interaction Model of the Cell Membrane Deformation: Formation of a Filopodium
Department of Computer Science and Mathematics
Lebanese American University - Byblos campus, P.O. Box: 36, Byblos, Lebanon
Corresponding author. E-mail: email@example.com
In this paper we present a fluid-structure interaction model of neuron’s membrane deformation. The membrane-actin is considered as an elastic solid layer, while the cytoplasm is considered as a viscous fluid one. The membrane-actin layer is governed by elasticity equations while the cytoplasm is described by the Navier-Stokes equations. At the interface between the cytoplasm and the membrane we consider a match between the solid velocity displacement and the fluid velocity as well as the mechanical equilibrium. The membrane, which faces the extracellular medium, is free to move. This will change the geometry in time. To take into account the deformation of the initial configuration, we use the Arbitrary Lagrangian Eulerian method in order to take into account the mesh displacement. The numerical simulations, show the emergence of a filopodium, a typical structure in cells undergoing deformation.
Mathematics Subject Classification: 35Q30 / 92C50 / 74F10
Key words: partial differential equations / cell membrane / fluid-structure interaction / numerical simulations
© EDP Sciences, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.