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Tu, ZC; Ou-Yang, ZC; Tu, ZC , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
A geometric theory on the elasticity of bio-membranes
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
KeywordLipid Bilayers Vesicles Model Domains Moduli
AbstractThe 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.
2004
ISSN0305-4470
Volume37Issue:47Pages:11407-11429
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13966
Collection理论物理所科研产出_SCI论文
Corresponding AuthorTu, ZC , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
Tu, ZC,Ou-Yang, ZC,Tu, ZC , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.. A geometric theory on the elasticity of bio-membranes[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2004,37(47):11407-11429.
APA Tu, ZC,Ou-Yang, ZC,&Tu, ZC , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2004).A geometric theory on the elasticity of bio-membranes.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,37(47),11407-11429.
MLA Tu, ZC,et al."A geometric theory on the elasticity of bio-membranes".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 37.47(2004):11407-11429.
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