Für interessierte UnRAVel Mitglieder: Weekly Seminar by RTG Eddy: A free boundary problem arising in a model of cell polarization

Donnerstag, 18.11.2021, 10.30 Uhr

Ort: Durch die COVID-19 Pandemie steht noch nicht fest, wie die Veranstaltung statt findet. Für up to date Informationen besuchen Sie bitte die Website des RTG Eddy.

Vortragender: Matthias Röger (TU Dortmund (Germany))

 

Abstract:

We consider the polarization of a cell in response to an outer signal. The mathematical model consists of a diffusion equation in the inner volume coupled to a reaction diffusion system on the cell membrane. In a certain asymptotic limit we rigorously prove the convergence towards a generalized obstacle problem. In term of this limit system we derive conditions for the onset of polarization.

(This is joint work with Anna Logioti, Barbara Niethammer and Juan Velazquez)