Dynamics of Biomembranes: Effect of the Bulk Fluid

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

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 5, page 25-43
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Bonito, A., Nochetto, R.H., and Pauletti, M.S.. "Dynamics of Biomembranes: Effect of the Bulk Fluid." Mathematical Modelling of Natural Phenomena 6.5 (2011): 25-43. <http://eudml.org/doc/222241>.

@article{Bonito2011,
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. },
author = {Bonito, A., Nochetto, R.H., Pauletti, M.S.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {biomembrane; vesicle; red blood cell; helfrich; willmore; bending energy; parametric finite element; Lagrange multipliers; Helfrich; Willmore; parametric finite elements},
language = {eng},
month = {8},
number = {5},
pages = {25-43},
publisher = {EDP Sciences},
title = {Dynamics of Biomembranes: Effect of the Bulk Fluid},
url = {http://eudml.org/doc/222241},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Bonito, A.
AU - Nochetto, R.H.
AU - Pauletti, M.S.
TI - Dynamics of Biomembranes: Effect of the Bulk Fluid
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/8//
PB - EDP Sciences
VL - 6
IS - 5
SP - 25
EP - 43
AB - 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.
LA - eng
KW - biomembrane; vesicle; red blood cell; helfrich; willmore; bending energy; parametric finite element; Lagrange multipliers; Helfrich; Willmore; parametric finite elements
UR - http://eudml.org/doc/222241
ER -

References

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