Correct Equilibrium Shape Equation of Axisymmetric Vesicles

摘要: Under favorable conditions, lipid molecules consisting hydrophobic tail and hydrophilic head groups, self assemble to form vesicles in aqueous medium with a bilayer separating the inner outer solutions [Ino96, Kom96]. Vesicles have been attracting enormous attentions because of their biological significance numerous applications such as drug delivery targeting, medical imaging, catalysis, etc. [KR96, Zan96]. It is recognized that equilibrium shape vesicle determined by minimizing energy given spontaneous-curvature model Helfrich [Hel73, OH89]: