Analysis of a Nonlocal and Nonlinear Fokker--Planck Model for Cell Crawling Migration

DOI10.1137/16M1088715zbMath1383.35230arXiv1701.06862OpenAlexW2580786840MaRDI QIDQ4594901

Christèle Etchegaray, Nicolas Meunier, Raphaël Voituriez

Publication date: 27 November 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06862

zbMATH Keywords

blow-upglobal existenceasymptotic convergencecell polarization

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Continuation and prolongation of solutions to PDEs (35B60) General biology and biomathematics (92B05) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Fokker-Planck equations (35Q84)

Related Items (2)

Self polarization and traveling wave in a model for cell crawling migration ⋮ Emergence of traveling waves and their stability in a free boundary model of cell motility

Cites Work

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• Mathematics of cell motility: Have we got its number?
• Analysis of a Nonlocal Model for Spontaneous Cell Polarization
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• Logarithmic Sobolev Inequalities
• Multiscale Two-Dimensional Modeling of a Motile Simple-Shaped Cell

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