Self polarization and traveling wave in a model for cell crawling migration

Autor:	Alessandro Cucchi, Antoine Mellet, Nicolas Meunier
Rok vydání:	2022
Předmět:	Applied Mathematics Discrete Mathematics and Combinatorics Analysis
Zdroj:	Discrete & Continuous Dynamical Systems. 42:2381
ISSN:	1553-5231 1078-0947
DOI:	10.3934/dcds.2021194
Popis:	In this paper, we prove the existence of traveling wave solutions for an incompressible Darcy's free boundary problem recently introduced in [6] to describe cell motility. This free boundary problem involves a nonlinear destabilizing term in the boundary condition which describes the active character of the cell cytoskeleton. By using two different methods, a constructive method via a graph analysis and a local bifurcation method, we prove that traveling wave solutions exist when the destabilizing term is strong enough.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f528c6a0a0eeb55ebaa9718e2f469235 https://doi.org/10.3934/dcds.2021194 Zobrazit plný text záznamu