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

Qiang Du; Chun Liu; Xiaoqiang Wang

doi:10.1016/j.jcp.2004.01.029

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

Qiang Du, Chun Liu, Xiaoqiang Wang

Research output: Contribution to journal › Article › peer-review

336 Scopus citations

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.

Original language	English (US)
Pages (from-to)	450-468
Number of pages	19
Journal	Journal of Computational Physics
Volume	198
Issue number	2
DOIs	https://doi.org/10.1016/j.jcp.2004.01.029
State	Published - Aug 10 2004

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2004.01.029

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title = "A phase field approach in the numerical study of the elastic bending energy for vesicle membranes",

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.",

author = "Qiang Du and Chun Liu and Xiaoqiang Wang",

note = "Funding Information: The research of Q. Du and X. Wang is supported in part by NSF-DMS 0196522 and NSF-ITR 0205232. The research of C. Liu is supported in part by American Chemical Society. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",

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AU - Du, Qiang

AU - Liu, Chun

AU - Wang, Xiaoqiang

N1 - Funding Information: The research of Q. Du and X. Wang is supported in part by NSF-DMS 0196522 and NSF-ITR 0205232. The research of C. Liu is supported in part by American Chemical Society. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2004/8/10

Y1 - 2004/8/10

N2 - 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.

AB - 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.

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

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