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A geometric theory on the elasticity of bio-membranes
Tu, ZC; Ou-Yang, ZC; Tu, ZC , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
2004
发表期刊JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN0305-4470
卷号37期号:47页码:11407-11429
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.
部门归属Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Chinese Acad Sci, Grad Sch, Beijing 100864, Peoples R China; Tsing Hua Univ, Ctr Adv Study, Beijing 100084, Peoples R China
关键词Lipid Bilayers Vesicles Model Domains Moduli
学科领域Physics
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收录类别SCI
WOS记录号WOS:000225664800011
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被引频次:70[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13966
专题理论物理所SCI论文
通讯作者Tu, ZC , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
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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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