摘要
简要回顾生物膜纳米管实验的最新进展,综述(稳定)平衡的生物膜纳米管网络中的对称和拓扑不变现象,揭示平衡生物膜纳米管网络对称性和拓扑不变性的两个源泉:一是微分几何中对称的积分定理,二是能量极小原理和Steiner(最小)树,阐述生物膜纳米管网络(稳定)平衡定理的意义和应用.
This paper reviews the new developments in experiments of biomembrane nanotubes, focusing on the problems of symmetry and topological invariability in biomembrane nanotube networks at (stable) equilibriums. Two origins for the symmetric topology of biomembrane nanotube networks at (stable) equilibriums are disclosed: One is the symmetric integral theorems in differential geometry, and another is the stationary energy principle and Steiner (minimal) tree. The importance and applications of the (stable) equilibrium law for biomembrane nanotube networks are discussed.
出处
《力学与实践》
CSCD
北大核心
2008年第6期1-10,共10页
Mechanics in Engineering
基金
国家自然科学基金项目资助(10572076).