KAUST Grant NumberKUS-C1-016-04
Online Publication Date2011-08-10
Print Publication Date2011
Permanent link to this recordhttp://hdl.handle.net/10754/598038
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AbstractWe 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.
CitationBonito A, Nochetto RH, Pauletti MS (2011) Dynamics of Biomembranes: Effect of the Bulk Fluid. Math Model Nat Phenom 6: 25–43. Available: http://dx.doi.org/10.1051/mmnp/20116502.
SponsorsWe 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).