Dynamics of Biomembranes: Effect of the Bulk Fluid Academic Article uri icon


  • We derive a biomembrane model consisting of a fluid enclosed by a lipid membrane. The membrane is characterized by its Canham-Helfrich energy (Willmore energy with area constraint) and acts as a boundary force on the Navier-Stokes system modeling an incompressible fluid. We give a concise description of the model and of the associated numerical scheme. We provide numerical simulations with emphasis on the comparisons between different types of flow: the geometric model which does not take into account the bulk fluid and the biomembrane model for two different regimes of parameters. © EDP Sciences, 2011.

author list (cited authors)

  • Bonito, A., Nochetto, R. H., & Pauletti, M. S.

citation count

  • 37

publication date

  • August 2011