Geodesic
Dynamics of Biomembranes: Effect of the Bulk Fluid
A. Bonito1 ; R.H. Nochetto2 ; M.S. Pauletti1
1 Department of Mathematics, Texas A&M University, College Station, Texas, USA
2 Department of Mathematics, University of Maryland, College Park, Maryland, USA
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 5, pp. 25-43.

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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.
DOI : 10.1051/mmnp/20116502

A. Bonito 1 ; R.H. Nochetto 2 ; M.S. Pauletti 1

1 Department of Mathematics, Texas A&M University, College Station, Texas, USA
2 Department of Mathematics, University of Maryland, College Park, Maryland, USA 
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A. Bonito; R.H. Nochetto; M.S. Pauletti. Dynamics of Biomembranes: Effect of the Bulk Fluid. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 5, pp. 25-43. doi : 10.1051/mmnp/20116502. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20116502/

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