A Fluid-Based Model for Single-Cell Migration

Explore a deterministic model of single-cell migration in this 32-minute conference talk by Christele Etchegaray from the University of Bordeaux. Delve into a fluid description of the intracellular actin cytoskeleton and its interaction with molecular species. Examine the mathematical formulation, including reaction-advection-diffusion for molecular dynamics and a Darcy law coupled with a Poisson problem for fluid mechanics. Understand how the Dirichlet boundary condition on fluid pressure incorporates molecular regulation and active cytoskeleton behavior. Discover how the model accounts for both static and motile cell behaviors through mathematical analysis and numerical simulations. Learn about the addition of stochastic fluctuations in molecular advection and how it produces numerical trajectories resembling experimental observations. Gain insights into this collaborative work with Nicolas Meunier and Raphaël Voituriez, presented at the Institut Henri Poincaré in Paris.