In this talk, I will present a deterministic model of single-cell migration based on a fluid description of the intracellular actin cytoskeleton, and on its interaction with a molecular specie. The problem writes as a reaction-advection-diffusion for the molecular dynamics, and a Darcy law coupled with a Poisson problem for the fluid. A Dirichlet boundary condition on the fluid pressure accounts for both the molecular regulation and the active behavior of the cytoskeleton. The model accounts for both static and motile behaviors, as shown from mathematical analysis and numerical simulations. Furthermore, by adding stochastic fluctuations in the molecular advection term, the model provides numerical trajectories that share key-properties with their experimental counterparts. This is a joint work with Nicolas Meunier (LaMME, Évry) and Raphaël Voituriez (LJP, LPTMC, Sorbonne université).
By Richard Bailleul
By Florence Hubert
By Pierre-Emmanuel Jabin
By Markus Schmidtchen
By Camille Pouchol
By Monika Joanna Piotrowska
By Annabelle Collin
By Sébastien Benzekry
By Jose Munoz
By Pasquale Ciarletta
By Olivier Saut
By Anna Marciniak-Czochra
By Aleksandra Ardaseva
By Kevin Painter
By Nadia Loy
By Min Tang
By Christian Schmeiser
By Thierry Goudon
By Ariane Trescases
By Monica Colpi
By Albert Schwarz
By Mikolaj Fraczyk
By Deneuville Jean-Christophe
