publication . Article . 2010

Modeling and computation of two phase geometric biomembranes using surface finite elements

Elliott, Charles M.; Stinner, Björn;
Open Access
  • Published: 01 Sep 2010 Journal: Journal of Computational Physics, volume 229, pages 6,585-6,612 (issn: 0021-9991, Copyright policy)
  • Publisher: Elsevier BV
  • Country: United Kingdom
Abstract
Biomembranes consisting of multiple lipids may involve phase separation phenomena leading to coexisting domains of different lipid compositions. The modeling of such biomembranes involves an elastic or bending energy together with a line energy associated with the phase interfaces. This leads to a free boundary problem for the phase interface on the unknown equilibrium surface which minimizes an energy functional subject to volume and area constraints. In this paper we propose a new computational tool for computing equilibria based on an L^2 relaxation flow for the total energy in which the line energy is approximated by a surface Ginzburg-Landau phase field fun...
Subjects
free text keywords: Curvature, Finite element method, Mean curvature, Free boundary problem, Discretization, Nonlinear system, Energy functional, Mathematical analysis, Mathematical optimization, Mathematics, Quadratic equation, QA, QP
Related Organizations
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publication . Article . 2010

Modeling and computation of two phase geometric biomembranes using surface finite elements

Elliott, Charles M.; Stinner, Björn;