Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions

Qiang Du; Chun Liu; Xiaoqiang Wang

doi:10.1016/j.jcp.2005.07.020

Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions

Qiang Du, Chun Liu, Xiaoqiang Wang

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212 Scopus citations

Abstract

In this paper, we study the three-dimensional deformation of a vesicle membrane under the elastic bending energy, with prescribed bulk volume and surface area. Both static and dynamic deformations are considered. A newly developed energetic variational formulation is employed to give an effective Eulerian description. Efficient time and spatial discretizations are considered and implemented. Numerical experiments illustrate some fascinating phenomena that are of interests in real applications.

Original language	English (US)
Pages (from-to)	757-777
Number of pages	21
Journal	Journal of Computational Physics
Volume	212
Issue number	2
DOIs	https://doi.org/10.1016/j.jcp.2005.07.020
State	Published - Mar 1 2006

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.2005.07.020

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abstract = "In this paper, we study the three-dimensional deformation of a vesicle membrane under the elastic bending energy, with prescribed bulk volume and surface area. Both static and dynamic deformations are considered. A newly developed energetic variational formulation is employed to give an effective Eulerian description. Efficient time and spatial discretizations are considered and implemented. Numerical experiments illustrate some fascinating phenomena that are of interests in real applications.",

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

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AB - In this paper, we study the three-dimensional deformation of a vesicle membrane under the elastic bending energy, with prescribed bulk volume and surface area. Both static and dynamic deformations are considered. A newly developed energetic variational formulation is employed to give an effective Eulerian description. Efficient time and spatial discretizations are considered and implemented. Numerical experiments illustrate some fascinating phenomena that are of interests in real applications.

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Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions

Abstract

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