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Computation 2018, 6(2), 33; https://doi.org/10.3390/computation6020033

Modeling Confined Cell Migration Mediated by Cytoskeleton Dynamics

1
Centro Universitario de la Defensa de Zaragoza, Academia General Militar, Ctra. Huesca s/n, 50090 Zaragoza, Spain
2
Multiscale in Mechanical and Biological Engineering (M2BE), Aragón Institute of Engineering Research (I3A), University of Zaragoza, Campus Río Ebro, 50018 Zaragoza, Spain
*
Author to whom correspondence should be addressed.
Received: 14 February 2018 / Revised: 30 March 2018 / Accepted: 12 April 2018 / Published: 19 April 2018
(This article belongs to the Section Computational Biology)
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Abstract

Cell migration is an important biological process that has generated increasing interest during the last several years. This process is based on three phases: protrusion at the front end of the cell, de-adhesion at the rear end and contraction of the cell body, all of them coordinated due to the polymerization/depolymerization of certain cytoskeletal proteins. The aim of this work is to present a mathematical model to simulate the actin polymerization/depolymerization process that regulates the final outcome of cell migration process, considering all the above phases, in a particular case: when the cell is confined in a microfluidic channel. Under these specific conditions, cell migration can be approximated by using one-dimensional simulations. We will propose a system of reaction–diffusion equations to simulate the behavior of the cytoskeletal proteins responsible for protrusion and contraction in the cell, coupled with the mechanical response of the cell, computing its deformations and stresses. Furthermore, a numerical procedure is presented in order to simulate the whole process in a moving and deformable domain corresponding to the cell body. View Full-Text
Keywords: cell migration; actin–myosin dynamics; reaction–diffusion equations; numerical simulation cell migration; actin–myosin dynamics; reaction–diffusion equations; numerical simulation
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Sánchez, M.T.; García-Aznar, J.M. Modeling Confined Cell Migration Mediated by Cytoskeleton Dynamics. Computation 2018, 6, 33.

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