Modèle de champ de phase pour la migration cellulaire: ondes progressives et limite de type interface mince

Translated title of the contribution: Phase-field model of cell motility: Traveling waves and sharp interface limit

Leonid Berlyand, Mykhailo Potomkin, Volodymyr Rybalko

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this paper, we report our recent results on the asymptotic analysis of a PDE model for the motility of an eukaryotic cell. We formally derive the sharp interface limit, which describes the motion of the cell membrane. In the 1D case, we rigorously justify the limit, and, using numerical simulations, observe some surprising features, such as discontinuity of interface velocities and hysteresis. We show that nontrivial traveling wave solutions appear when the key physical parameter exceeds a critical value.

Translated title of the contributionPhase-field model of cell motility: Traveling waves and sharp interface limit
Original languageFrench
Pages (from-to)986-992
Number of pages7
JournalComptes Rendus Mathematique
Volume354
Issue number10
DOIs
StatePublished - Oct 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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