生物膜力学与几何中的对称  

SYMMETRIES IN THE MECHANICS AND GEOMETRY FOR BIOMEMBRANES

作　　者：殷雅俊[1] 

机构地区：[1]清华大学航天航空学院工程力学系,北京100084

出　　处：《力学与实践》2008年第2期1-10,共10页Mechanics in Engineering

基　　金：国家自然科学基金项目资助(10572076)

摘　　要：简要综述了生物膜力学与几何的新进展.在生物膜力学中,着重介绍了基于微分算子的平衡理论和几何约束理论;在生物膜几何中,重点评述了源于生物膜力学的新梯度算子及其积分性质.指出:新梯度算子可能在生物膜曲面上诱发新的驱动力;生物膜力学与几何是一个有机整体,其背后存在着一个对称的几何体系,包括对称的微分算子以及对称的积分定理系统.This paper briefly reviews the recent progress in the mechanics and geometry for biomembranes. In biomembrane mechanics, the equilibrium theory and geometrically constraint theory are introduced. In biomembrane geometry, a new gradient operator derived from biomembrane mechanics and its integral characteristics are summarized. The new gradient operator may be responsible for a new driving force on biomembrane surfaces. Besides, the mechanics and geometry for biomembranes are found to be an organic entity, behind which is a symmetric geometric system, including symmetric differential operators and symmetric integral theorems.

关 键 词：生物膜 第2类梯度算子 积分定理 对称 

分 类 号：O31[理学—一般力学与力学基础] Q73[理学—力学]