Document Detail

Phase-field approach to three-dimensional vesicle dynamics.
MedLine Citation:
PMID:  16383434     Owner:  NLM     Status:  MEDLINE    
We extend our recent phase-field [T. Biben and C. Misbah, Phys. Rev. E 67, 031908 (2003)] approach to 3D vesicle dynamics. Unlike the boundary-integral formulations, based on the use of the Oseen tensor in the small Reynolds number limit, this method offers several important flexibilities. First, there is no need to track the membrane position; rather this is automatically encoded in dynamics of the phase field to which we assign a finite width representing the membrane extent. Secondly, this method allows naturally for any topology change, like vesicle budding, for example. Thirdly, any non-Newtonian constitutive law, that is generically nonlinear, can be naturally accounted for, a fact which is precluded by the boundary integral formulation. The phase-field approach raises, however, a complication due to the local membrane incompressibility, which, unlike usual interfacial problems, imposes a nontrivial constraint on the membrane. This problem is solved by introducing dynamics of a tension field. The first purpose of this paper is to show how to write adequately the advected-field model for 3D vesicles. We shall then perform a singular expansion of the phase field equation to show that they reduce, in the limit of a vanishing membrane extent, to the sharp boundary equations. Then, we present some results obtained by the phase-field model. We consider two examples; (i) kinetics towards equilibrium shapes and (ii) tanktreading and tumbling. We find a very good agreement between the two methods. We also discuss briefly how effects, such as the membrane shear elasticity and stretching elasticity, and the relative sliding of monolayers, can be accounted for in the phase-field approach.
Thierry Biben; Klaus Kassner; Chaouqi Misbah
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't     Date:  2005-10-20
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  72     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2005 Oct 
Date Detail:
Created Date:  2005-12-30     Completed Date:  2006-04-13     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  041921     Citation Subset:  IM    
LSP, Dynamique des Fluides Complexes et Morphogénèse, Université Joseph Fourier (CNRS), Grenoble I, B.P. 87, Saint-Martin d'Hères, 38402 Cedex, France.
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MeSH Terms
Computer Simulation
Liposomes / chemistry*
Membrane Fluidity*
Membranes, Artificial*
Microfluidics / methods
Models, Chemical*
Models, Molecular*
Stress, Mechanical
Reg. No./Substance:
0/Liposomes; 0/Membranes, Artificial

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