Department of Physics, Beijing Normal University, Beijing 100875, China.
Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China.
Adv Colloid Interface Sci. 2014 Jun;208:66-75. doi: 10.1016/j.cis.2014.01.008. Epub 2014 Jan 24.
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.
本文总结了 Helfrich 著名的自发曲率模型之后关于膜弹性的最新理论进展。本文给出了描述脂质体、具有自由边缘的脂质膜和手性脂质膜平衡构型的控制方程。展示了这些方程的几个解析解及其对应的构型。