Geometric theory on the elasticity of bio-membranes

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dc.creatorTu, Z. C.
dc.creatorOu-Yang, Z. C.
dc.date2004-03-12
dc.date2004-11-10
dc.date.accessioned2026-07-07T02:56:55Z
dc.date.available2026-07-07T02:56:55Z
dc.descriptionThe 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 in 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 the surfaces embedded in three-dimensional Euclidean space by using exterior differential forms.
dc.description25 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0403309
dc.identifierhttp://arxiv.org/abs/cond-mat/0403309
dc.identifierJ. Phys. A: Math. Gen. 37 (2004) 11407-11429
dc.identifierdoi:10.1088/0305-4470/37/47/010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23517
dc.subjectSoft Condensed Matter
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subjectQuantitative Methods
dc.titleGeometric theory on the elasticity of bio-membranes
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