Conditions for the Formation of Axisymmetric Biconcave Vesicles

Abstract

In this article, the formation of biconcave vesicle according to the minimization bending energy (Helfrich's model) is studied. We present that in order to have biconcave shape vesicle, there are necessary conditions on the parameters of the energy functional and there are implications on the geometric quantities of the vesicle. Furthermore, we also give a clear sufficient condition on the parameters to have the formation of biconcave shape vesicle.