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基于离散变分原理的耗散动力学模拟方法:模拟三维囊泡形状

夏彬凯 李剑锋 李卫华 张红东 邱枫

物理学报Issue(24):248701-1-248701-6,6.
物理学报Issue(24):248701-1-248701-6,6.DOI:10.7498/aps.62.248701

基于离散变分原理的耗散动力学模拟方法:模拟三维囊泡形状

A dissipative dynamical method based on discrete variational principle:stationary shapes of three-dimensional vesicle

夏彬凯 1李剑锋 1李卫华 2张红东 1邱枫1

作者信息

  • 1. 复旦大学高分子科学系,聚合物分子工程国家重点实验室,上海 200433
  • 2. 中国科学院卡弗里理论物理研究所,北京 100190
  • 折叠

摘要

Abstract

In this article, the dissipative dynamical evolution method based on the discrete variational principle is applied to a three-dimensional (3D) vesicle system. The stationary shapes of vesicles are obtained through the minimization of membrane bending energy without any symmetric assumption, which is an outstanding merit of our method. Aiming at a 3D vesicle system with certain parameter settings, a series of axisymmetric shapes are achieved by our method. The simulation results are in good agreement with those obtained with axisymmetric assumption, which indicates that our method can describe the deformation of 3D vesicle with ex-tremely high precision. In addition, a shape transition between two stable states with great difference is studied, which further implies the capability of our proposed method in simulating large deformations regarding the 3D membrane. We believe that we have provided a very powerful simulation method for the future studies of bio-membrane deformations.

关键词

生物膜/离散空间变分法/耗散动力学/三角网格划分

Key words

bio-membrane/discrete-space variational method/dissipative dynamics/triangulation

引用本文复制引用

夏彬凯,李剑锋,李卫华,张红东,邱枫..基于离散变分原理的耗散动力学模拟方法:模拟三维囊泡形状[J].物理学报,2013,(24):248701-1-248701-6,6.

基金项目

国家自然科学基金(批准号:21104010,20874019,21174031)资助的课题.@@@@Project supported by the National Natural Science Foundation of China (Grant Nos.21104010,20874019,21174031) (批准号:21104010,20874019,21174031)

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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