**Title:** Bidomain model and mean curvature flow

**Abstract:**

In this talk I will present an asymptotic analysis concerning
the so called "bidomain model", showing -at least at a formal level-
that the zero level set of the solution approximates an anisotropic mean
curvature flow. The anistropy is supposed to be smooth and uniformly convex,
and it turns out to be a proper "harmonic combination" of the two norms appearing
in the diffusion terms of the system.

The talk is divided in three parts. In the first part, I will recall some well known facts about Euclidean mean curvature flow; in the second part, I will generalize to the (smooth uniformly convex) anisotropic setting; in the last part, I will introduce the bidomain model, and I will exploit the first two orders in the asymptotic expansion. Open problems, first of all a (still missing) proof for this convergence result, are left at the end of the talk.

This seminar is part of the AJS series of seminars.