生物膜力学与几何中的对称

SYMMETRIES IN THE MECHANICS AND GEOMETRY FOR BIOMEMBRANES

  • 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 themechanics and geometry for biomembranes. In biomembrane mechanics,the equilibrium theory and geometrically constraint theory are introduced.In biomembrane geometry, a new gradient operator derived frombiomembrane mechanics and its integral characteristics are summarized. Thenew gradient operator may be responsible for a new driving force onbiomembrane surfaces. Besides, the mechanics and geometry for biomembranesare found to be an organic entity, behind which is a symmetric geometricsystem, including symmetric differential operators and symmetric integraltheorems.

     

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