SYMMETRIES IN THE MECHANICS AND GEOMETRY FOR BIOMEMBRANES

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.