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 language||English (US)|
|Number of pages||19|
|Journal||Mathematical Modelling of Natural Phenomena|
|State||Published - Aug 10 2011|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: We wish to acknowledge funding support. Bonito was partially supported by NSF grants DMS-0807811 and DMS-0914977 and by Award No. KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST). Nochetto was partially supported by NSF grants DMS-0505454 and DMS-0807811. Pauletti was partially supported by NSF grants DMS-0505454 and DMS-0807811 and by Award No. KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.