3 papers
math.AP2020
A parabolic free boundary problem arising in a model of cell polarization
Anna Logioti, Barbara Niethammer, Matthias Röger +1
The amplification of an external signal is a key step in direction sensing of biological cells. We consider a simple model for the response to a time-depending signal, which was pr…
math.AP2019
A bulk-surface reaction-diffusion system for cell polarization
Barbara Niethammer, Matthias Röger, Juan J. L. Velázquez
We propose a model for cell polarization as a response to an external signal which results in a system of PDEs for different variants of a protein on the cell surface and interior…
math.AP2016
Global existence for a bulk/surface model for active-transport-induced polarisation in biological cells
Keith Anguige, Matthias Röger
We consider a coupled bulk/surface model for advection and diffusion of interacting chemical species in biological cells. Specifically, we consider a signalling protein that can ex…