Math. Model. Nat. Phenom.
Volume 6, Number 5, 2011Complex Fluids
|Page(s)||25 - 43|
|Published online||10 August 2011|
Dynamics of Biomembranes: Effect of the Bulk Fluid
Department of Mathematics, Texas A&M
2 Department of Mathematics, University of Maryland, College Park, Maryland, USA
⋆ Corresponding author. E-mail: firstname.lastname@example.org
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.
Mathematics Subject Classification: 65M60 / 76Z99 / 74F10 / 92C05
Key words: biomembrane / vesicle / red blood cell / helfrich / willmore / bending energy / parametric finite element / Lagrange multipliers
© EDP Sciences, 2011
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