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).
De Richard Bailleul
De Florence Hubert
De Pierre-Emmanuel Jabin
De Markus Schmidtchen
De Camille Pouchol
De Monika Joanna Piotrowska
De Annabelle Collin
De Sébastien Benzekry
De Jose Munoz
De Pasquale Ciarletta
De Olivier Saut
De Anna Marciniak-Czochra
De Aleksandra Ardaseva
De Kevin Painter
De Nadia Loy
De Min Tang
De Christian Schmeiser
De Thierry Goudon
De Ariane Trescases
De Albert Schwarz
De Albert Schwarz
De Juan Camilo Arosemena Serrato
De Amine Marrakchi
De Shirly Geffen
