Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation
Qiang Du - Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA, United States (email)
Abstract: 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.
Keywords: Phase field, elastic bending energy, cell embrane, spontaneous curvature, numerical simulation, solution branches.
Received: November 2004; Revised: April 2005; Published: June 2005.
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