| A geometric theory on the elasticity of bio-membranes | |
| Tu, ZC ; Ou-Yang, ZC | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | LIPID BILAYERS VESICLES MODEL DOMAINS MODULI Physics, Multidisciplinary Physics, Mathematical |
| 中文摘要 | The purpose of this paper is to study the shapes and stabilities of bio-membranes within the framework of exterior differential forms. After a brief review of the current status of theoretical and experimental studies on the shapes of bio-membranes, a geometric scheme is proposed to discuss the shape equation of closed lipid bilayers, the shape equation and boundary conditions of open lipid bilayers and two-component membranes, the shape equation and in-plane strain equations of cell membranes with cross-linking structures, and the stabilities of closed lipid bilayers and cell membranes. The key point of this scheme is to deal with the variational problems on surfaces embedded in three-dimensional Euclidean space by using exterior differential forms. |
| 语种 | 英语 ; 英语 |
| 出版者 | IOP PUBLISHING LTD ; BRISTOL ; DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/14617]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Tu, ZC,Ou-Yang, ZC. A geometric theory on the elasticity of bio-membranes[J],2010, 2010. |
| APA | Tu, ZC,&Ou-Yang, ZC.(2010).A geometric theory on the elasticity of bio-membranes.. |
| MLA | Tu, ZC,et al."A geometric theory on the elasticity of bio-membranes".(2010). |
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