Geometric theory of elasticity on biomembranes

Tu Zhan-Chun; Ou-Yang Zhong-Can

doi:10.7523/j.issn.2095-6134.2008.6.019

Journal of University of Chinese Academy of Sciences >

2008 , Vol. 25 >Issue 6: 849 - 854

DOI: https://doi.org/10.7523/j.issn.2095-6134.2008.6.019

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Geometric theory of elasticity on biomembranes

Tu Zhan-Chun ,
Ou-Yang Zhong-Can

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1 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China; 2 Department of Physics, Beijing Normal University, Beijing 100875, China

Received date: 1900-01-01

Revised date: 1900-01-01

Online published: 2008-11-15

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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

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Tu Zhan-Chun , Ou-Yang Zhong-Can . Geometric theory of elasticity on biomembranes[J]. Journal of University of Chinese Academy of Sciences, 2008 , 25(6) : 849 -854 . DOI: 10.7523/j.issn.2095-6134.2008.6.019

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