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

被引：218

作者：

Du, Q ^{[1
]}

Liu, C ^{[1
]}

Wang, XQ ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2006年 / 212卷 / 02期

关键词：

vesicle membrane; elastic bending energy; energetic variational approach; diffusive interface approximation; phase field model; numerical methods; three-dimensional simulation;

D O I：

10.1016/j.jcp.2005.07.020

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：757 / 777

页数：21

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