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The Study of Complex Shapes of Fluid Membranes, the Helfrich Functional and New Applications
Ou-Yang, ZC; Tu, ZC
2016
Conference Name10th International ISAAC Congress
Source PublicationMATHEMATICAL ANALYSIS, PROBABILITY AND APPLICATIONS - PLENARY LECTURES
Volume177
Pages77-101
Conference DateAUG 03-08, 2015
Conference PlaceUniv Macau, Macau, PEOPLES R CHINA
Author of SourceUniv Macau
Publication PlaceNEW YORK
ISSN2194-1009
PublisherSPRINGER
ISBN978-3-319-41945-9; 978-3-319-41943-5
AbstractThe 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.
KeywordRED-BLOOD-CELL AXISYMMETRICAL VESICLES LIPID-MEMBRANES TOROIDAL VESICLES ISOTROPIC-PHASE CURVATURE ELASTICITY SURFACES EQUATIONS GEOMETRY
DOI10.1007/978-3-319-41945-9_4
URL查看原文
Indexed ByCPCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics ; Statistics & Probability
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Document Type会议论文
Identifierhttp://ir.itp.ac.cn/handle/311006/23562
CollectionSCI会议论文
Affiliation1.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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