@article{3df92f1efad345099aa234555fe26688,
title = "Dynamics of Biomembranes: Effect of the Bulk Fluid",
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. {\textcopyright} EDP Sciences, 2011.",
author = "A. Bonito and R.H. Nochetto and M.S. Pauletti",
note = "KAUST 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.",
year = "2011",
month = aug,
day = "10",
doi = "10.1051/mmnp/20116502",
language = "English (US)",
volume = "6",
pages = "25--43",
journal = "Mathematical Modelling of Natural Phenomena",
issn = "0973-5348",
publisher = "EDP Sciences",
number = "5",
}