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The Study of Complex Shapes of Fluid Membranes, the Helfrich Functional and New Applications | |
Ou-Yang, ZC![]() | |
2016 | |
Conference Name | 10th International ISAAC Congress |
Source Publication | MATHEMATICAL ANALYSIS, PROBABILITY AND APPLICATIONS - PLENARY LECTURES |
Volume | 177 |
Pages | 77-101 |
Conference Date | AUG 03-08, 2015 |
Conference Place | Univ Macau, Macau, PEOPLES R CHINA |
Author of Source | Univ Macau |
Publication Place | NEW YORK |
ISSN | 2194-1009 |
Publisher | SPRINGER |
ISBN | 978-3-319-41945-9; 978-3-319-41943-5 |
Abstract | The theoretical study of complex configurations of fluid membranes is reported on the basis of the Helfrich functional. Series of analytical results on the governing equations of closed lipid vesicles and open lipid vesicles with holes are surveyed. The concepts of stress tensor and moment tensor in fluid membranes are investigated from two different viewpoints: the balance of forces (moments) and the generalized variational principle of free energy. Several examples on new applications of the Helfrich functional in understanding the growth mechanism of some mesoscopic structures are illustrated. |
Keyword | RED-BLOOD-CELL AXISYMMETRICAL VESICLES LIPID-MEMBRANES TOROIDAL VESICLES ISOTROPIC-PHASE CURVATURE ELASTICITY SURFACES EQUATIONS GEOMETRY |
DOI | 10.1007/978-3-319-41945-9_4 |
URL | 查看原文 |
Indexed By | CPCI |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics ; Statistics & Probability |
Citation statistics | |
Document Type | 会议论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/23562 |
Collection | SCI会议论文 |
Affiliation | 1.Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China 2.Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China |
Recommended Citation GB/T 7714 | Ou-Yang, ZC,Tu, ZC. The Study of Complex Shapes of Fluid Membranes, the Helfrich Functional and New Applications[C]//Univ Macau. NEW YORK:SPRINGER,2016:77-101. |
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