Handle URI:
http://hdl.handle.net/10754/598038
Title:
Dynamics of Biomembranes: Effect of the Bulk Fluid
Authors:
Bonito, A.; Nochetto, R.H.; Pauletti, M.S.
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.
Citation:
Bonito 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.
Publisher:
EDP Sciences
Journal:
Mathematical Modelling of Natural Phenomena
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
2011
DOI:
10.1051/mmnp/20116502
Type:
Article
ISSN:
0973-5348; 1760-6101
Sponsors:
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).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBonito, A.en
dc.contributor.authorNochetto, R.H.en
dc.contributor.authorPauletti, M.S.en
dc.date.accessioned2016-02-25T13:11:29Zen
dc.date.available2016-02-25T13:11:29Zen
dc.date.issued2011en
dc.identifier.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.en
dc.identifier.issn0973-5348en
dc.identifier.issn1760-6101en
dc.identifier.doi10.1051/mmnp/20116502en
dc.identifier.urihttp://hdl.handle.net/10754/598038en
dc.description.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.en
dc.description.sponsorshipWe 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).en
dc.publisherEDP Sciencesen
dc.subjectBending energyen
dc.subjectBiomembraneen
dc.subjectHelfrichen
dc.subjectLagrange multipliersen
dc.subjectParametric finite elementen
dc.subjectRed blood cellen
dc.subjectVesicleen
dc.subjectWillmoreen
dc.titleDynamics of Biomembranes: Effect of the Bulk Fluiden
dc.typeArticleen
dc.identifier.journalMathematical Modelling of Natural Phenomenaen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionUniversity of Maryland, College Park, United Statesen
kaust.grant.numberKUS-C1-016-04en
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