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2005, Volume 4, Issue 3: 537-548. Doi: 10.3934/cpaa.2005.4.537
This issue Previous Article Non-simultaneous blow-up for a quasilinear parabolic system with reaction at the boundary Next Article Existence and non-existence for a mean curvature equation in hyperbolic space

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

  • 1.

    Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA

  • 2.

    Department of Mathematics, The Pennsylvania State University, University Park, PA 16802

  • 3.

    Department of Mathematics, Pennsylvania State University, University Park, PA 16802

Received:  October 31, 2004
Revised:  March 31, 2005
Published:  August 2005
Abstract Related Papers Cited by
    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.
    Mathematics Subject Classification: 49Q10, 92B05, 74K15.

    Citation:
    shu

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