Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation

被引：60
|
作者：
Du, Q [1 ]
Liu, C [1 ]
Ryham, R [1 ]
Wang, X [1 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2005年 / 4卷 / 03期
关键词：
phase field; elastic bending energy; cell membrane; spontaneous curvature; numerical simulation; solution branches;
D O I：
10.3934/cpaa.2005.4.537
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the effects of the spontaneous curvature on the static deformation of a vesicle membrane under the elastic bending energy, with prescribed bulk volume and surface area. Generalizing the phase field models developed in our previous works, we deduce a new energy formula involving the spontaneous curvature effects. Several axis-symmetric configurations are obtained through numerical simulations. Some analysis on the effects of the spontaneous curvature on the vesicle membrane shapes are also provided.
引用
收藏
页码：537 / 548
页数：12
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