Dynamics of Biomembranes: Effect of the Bulk Fluid

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

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

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.
Original languageEnglish (US)
Pages (from-to)25-43
Number of pages19
JournalMathematical Modelling of Natural Phenomena
Volume6
Issue number5
DOIs
StatePublished - Aug 10 2011
Externally publishedYes

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