Open for all UnRAVeL Members: Weekly Seminar by RTG Eddy: A free boundary problem arising in a model of cell polarization

Thursday, November 18, 2021, 10:30am

Location: Because of the changeable situation during the COVID-19 pandemic, please consult the webpage for up to date location or, in the event that an online seminar is necessary, the access data.

Speaker: 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)