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›› 2008, Vol. 26 ›› Issue (6): 849-854.DOI: 10.7523/j.issn.2095-6134.2008.6.019

• 优秀博士论文 • Previous Articles    

Geometric theory of elasticity on biomembranes

Tu Zhan-Chun, Ou-Yang Zhong-Can   

  1. 1 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China; 2 Department of Physics, Beijing Normal University, Beijing 100875, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-11-15

Abstract: This paper is focused on discussing the elasticity of biomembranes by using modern differential geometry. The shape equation and boundary conditions of open lipid bilayers are derived. A cell membrane is simplified as a composite shell of lipid bilayer and membrane skeleton. The membrane skeleton is shown to enhance highly the mechanical stability of cell membranes.

Key words: biomembranes, elasticity, stability