Asymptotic analysis for a sharp interface model related to pattern formation in biomembranes

Speaker: Dr. Denis Brazke, Heidelberg University

Title: Asymptotic analysis for a sharp interface model related to pattern formation in biomembranes

Abstract: 

We derive a macroscopic limit for a sharp interface version of a model proposed by Komura, Shimokawa and Andelman (2006) to investigate pattern formation due to competition of chemical and mechanical forces. The problem is reformulated as a non-local isoperimetric problem, for which we identify sub- and supercritical parameter regimes in terms of the relative strength of the competing local and non-local interactions. Using the autocorrelation function, we find an asymptotic expansion of the energy in terms of the length scale parameter up to second order and derive the Γ-limit in the subcritical and critical parameter regime. This is joint work with Hans Knüpfer and Anna Marciniak-Czochra.

Zoom Link:

https://oist.zoom.us/j/99160526222?pwd=cktkSy83MWhYZ2dqWVBLK1V0bzk0UT09