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Article Dans Une Revue Discrete & Continuous Dynamical Systems - A Année : 2022

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

Alessandro Cucchi
  • Fonction : Auteur
Antoine Mellet
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-04360709 , version 1 (21-12-2023)

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Alessandro Cucchi, Antoine Mellet, Nicolas Meunier. Self polarization and traveling wave in a model for cell crawling migration. Discrete & Continuous Dynamical Systems - A, 2022, 42 (5), pp.2381. ⟨10.3934/dcds.2021194⟩. ⟨hal-04360709⟩
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