Talk: How do cells move? The Filament Based Lamellipodium Model in the limit of short filaments

One mathematical model for the dynamics of the actin filament network in the lamellipodium of migrating cells is the Filament Based Lamellipodium Model (FBLM) – a two-dimensional, anisotropic two-phase continuum model. In this thesis, we aim to propose a simplified version of this model, by considering rigid filaments of equal length. We then perform a formal asymptotic dimension reduction limit in the regime of small filaments. The resulting one-dimensional system describes the processes along the cell periphery.

Picture: By courtesy of Angelika Manhart.