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

Q. Du, C. Liu, R. Ryham, X. Wang

Research output: Contribution to journalArticle

45 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)537-548
Number of pages12
JournalCommunications on Pure and Applied Analysis
Volume4
Issue number3
DOIs
StatePublished - Sep 1 2005

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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