A phase field approach in the numerical study of the elastic bending energy for vesicle membranes

Authors:
Qiang Du;Chun Liu;Xiaoqiang Wang
Affiliations:
Department of Mathematics, Pennsylvania State University, 218 MeAllister Building, University Park, PA;Department of Mathematics, Pennsylvania State University, 218 MeAllister Building, University Park, PA;Department of Mathematics, Pennsylvania State University, 218 MeAllister Building, University Park, PA
Venue:
Journal of Computational Physics
Year:
2004

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Abstract

In this paper, we compute the equilibrium configurations of a vesicle membrane under elastic bending energy, with prescribed volume and surface area. A variational phase field method is developed for such a problem. Discrete finite difference approximations and numerical simulations are carried out in the axial symmetrical cases. Different energetic bifurcation phenomena are discussed.