Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions

Qiang Du, Chun Liu, Xiaoqiang Wang

Research output: Contribution to journalArticlepeer-review

180 Scopus citations

Abstract

In this paper, we study the three-dimensional deformation of a vesicle membrane under the elastic bending energy, with prescribed bulk volume and surface area. Both static and dynamic deformations are considered. A newly developed energetic variational formulation is employed to give an effective Eulerian description. Efficient time and spatial discretizations are considered and implemented. Numerical experiments illustrate some fascinating phenomena that are of interests in real applications.

Original languageEnglish (US)
Pages (from-to)757-777
Number of pages21
JournalJournal of Computational Physics
Volume212
Issue number2
DOIs
StatePublished - Mar 1 2006

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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