  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.
