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.
出处
《力学与实践》
CSCD
北大核心
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)
关键词
生物膜
第2类梯度算子
积分定理
对称
biomembrane, second gradient operator, integral theorems, symmetry
