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math.AP2025
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension
Claire Alamichel, Nicolas Meunier
In this paper, we present a cell motility model that takes into account the cell membrane effect. The model introduced is an incompressible Darcy free boundary problem. This model…
math.AP2023
Convergence, concentration and critical mass phenomena in a model of cell motion with boundary signal production
Nicolas Meunier, Philippe Souplet
We consider a model of cell motion with boundary signal production which describes some aspects of eukaryotic cell migration. Generic polarity markers located in the cell are trans…