The numerical solution of the free-boundary cell motility problem

Vitaly Chernik and Pavel Buklemishev

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 217, issue C, 327-337

Abstract: The cell motility problem has been investigated for a long time. Today, many biologists, physicists, and mathematicians are looking for new research instruments for this process. A simple 2D model of a free-boundary cell moving on a homogeneous isotropic surface is presented in the paper. It describes the dynamics of the complex actomyosin liquid, whose special properties influence the boundary dynamics and cell motility. The model consists of a system of equations with the free boundary domain and contains a non-local term. In this work, we present a numerical solution of this problem.

Keywords: Finite differences; Free boundary problems; Mathematical modeling; Non-uniform grid; Partial differential equations (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:217:y:2024:i:c:p:327-337

DOI: 10.1016/j.matcom.2023.10.015

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