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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.