The Canham-Helfrich model for multiphase biomembranes

Katharina Brazda (University Vienna)

26-May-2020, 17:00-18:00 (4 years ago)

Abstract: Biological membranes adopt a fascinating variety of shapes. The Canham-Helfrich variational model describes their equilibrium configurations as surfaces of minimal elastic bending energy under area and volume constraints. In case of heterogeneous membranes with multiple phases, lateral fluidity gives rise to an additional coupling between composition and curvature. We present an existence result for multiphase Canham-Helfrich minimizers with sharp phase interfaces obtained in the framework of oriented curvature varifolds with boundary. This is joint work with Luca Lussardi and Ulisse Stefanelli.

Mathematics

Audience: researchers in the topic


Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php

Organizers: Simon Blatt*, Philipp Reiter*, Armin Schikorra*, Guofang Wang
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