The numerical solution of the free-boundary cell motility problem
Cell Behavior
2024-01-03 v1 Tissues and Organs
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
Cite
@article{arxiv.2401.01039,
title = {The numerical solution of the free-boundary cell motility problem},
author = {Vitaly Chernik and Pavel Buklemishev},
journal= {arXiv preprint arXiv:2401.01039},
year = {2024}
}