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Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation

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  • 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.
    Mathematics Subject Classification: 49Q10, 92B05, 74K15.

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