Geometrical Constraint Equations and Geometrically Permissible Condition for Vesicles

The application of a geometrical constraint equation for lipid bilayer vesicles is investigated. First, both the physical meaning and the mathematical formulation for the spontaneous curvature of vesicles are clarified. Second, the geometrically permissible conditions and phase diagrams for vesicles, from which the criteria for the formation, existence and disintegration of vesicles may be determined, are revealed.