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力学与实践 ›› 2008, Vol. 30 ›› Issue (2): 1-10.doi: 10.6052/1000-0992-2007-526

• 专题综述 •    下一篇

生物膜力学与几何中的对称

殷雅俊 吴继业 吕存景 尹杰   

  1. 清华大学航天航空学院工程力学系
  • 收稿日期:2007-11-20 修回日期:1900-01-01 出版日期:2008-04-08 发布日期:2008-04-08

SYMMETRIES IN THE MECHANICS AND GEOMETRY FOR BIOMEMBRANES

  • Received:2007-11-20 Revised:1900-01-01 Online:2008-04-08 Published:2008-04-08

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.

Abstract: 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.