SYMMETRIES IN THE MECHANICS AND GEOMETRY FOR BIOMEMBRANES
生物膜力学与几何中的对称

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.