In this paper, we study the effects of the spontaneous curvature on
the static deformation of a vesicle membrane under the elastic bending
energy, with prescribed bulk volume and surface area. Generalizing
the phase field models developed in our previous works, we deduce
a new energy formula involving the spontaneous curvature effects.
Several axis-symmetric configurations are obtained through numerical
simulations. Some analysis on the effects of the spontaneous curvature
on the vesicle membrane shapes are also provided.
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