title: Recent theoretical advances in elasticity of membranes following Helfrich's spontaneous curvature model.
abstract: Recent theoretical advances in elasticity of membranes following Helfrich's famous spontaneous curvature model are summarized in this review. The governing equations describing equilibrium configurations of lipid vesicles, lipid membranes with free edges, and chiral lipid membranes are presented. Several analytic solutions to these equations and their corresponding configurations are demonstrated.
authors: Department of Physics, Beijing Normal University, Beijing 100875, China. Electronic address: tuzc@bnu.edu.cn.
authors: Z C
authors: ZC
authors: Tu
authors: Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China. Electronic address: oy@itp.ac.cn.
authors: Z C
authors: ZC
authors: Ou-Yang
mesh_terms: D000465:Algorithms; D000818:Animals; D032701:Biomimetics / Q000379:methods* / Q000639:trends; D055592:Biophysical Phenomena; D002462:Cell Membrane / Q000737:chemistry*; D004548:Elasticity; D006801:Humans; D008051:Lipid Bilayers / Q000737:chemistry; D008560:Membrane Fluidity; D008567:Membranes, Artificial; D008954:Models, Biological; D013499:Surface Properties
chemical_list: D008051:Lipid Bilayers; D008567:Membranes, Artificial
keywords: Analytic solution; Elasticity of membrane; Governing equation; Helfrich's spontaneous curvature model