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Dynamics of Biomembranes: Effect of the BulkFluid

Published online by Cambridge University Press:  10 August 2011

A. Bonito ,
R.H. Nochetto  and
M.S. Pauletti
A. Bonito*
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA
R.H. Nochetto
Affiliation:
Department of Mathematics, University of Maryland, College Park, Maryland, USA
M.S. Pauletti
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA
*
⋆ Corresponding author. E-mail: bonito@math.tamu.edu
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Abstract

We derive a biomembrane model consisting of a fluid enclosed by a lipid membrane. Themembrane is characterized by its Canham-Helfrich energy (Willmore energy with areaconstraint) and acts as a boundary force on the Navier-Stokes system modeling anincompressible fluid. We give a concise description of the model and of the associatednumerical scheme. We provide numerical simulations with emphasis on the comparisonsbetween different types of flow: the geometric model which does not take into account thebulk fluid and the biomembrane model for two different regimes of parameters.

Keywords

biomembranevesiclered blood cellhelfrichwillmorebending energyparametric finite elementLagrange multipliers
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 5: Complex Fluids , 2011 , pp. 25 - 43
Copyright
© EDP Sciences, 2011

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