Calculus of Variations and Geometric Measure Theory

L. Lussardi

The Canham-Helfrich model for the elasticity of biomembranes as a limit of mesoscopic energies

created by lussardi on 25 Sep 2019
modified on 15 Oct 2020



Inserted: 25 sep 2019
Last Updated: 15 oct 2020

Journal: Proceedings of the Twenty-First International Conference on Geometry, Integrability and Quantization
Volume: 21
Pages: 170-180
Year: 2020


In this paper we review some recent results concerning the variational deduction of a Canham-Helfrich model for biomembranes obtained starting from a mesoscopic model which implements the amphiphilic behavior of the lipid molecules and the head-tail connection. The 2-dimensional analysis is complete while in the 3-dimensional case we have partial results and open problems.