Dynamic model and stationary shapes of fluid vesicles

@article{Campelo2006DynamicMA,
  title={Dynamic model and stationary shapes of fluid vesicles},
  author={Felix Campelo and Aurora Hern{\'a}ndez-Machado},
  journal={The European Physical Journal E},
  year={2006},
  volume={20},
  pages={37-45}
}
Abstract.A phase-field model that takes into account the bending energy of fluid vesicles is presented. The Canham-Helfrich model is derived in the sharp-interface limit. A dynamic equation for the phase-field has been solved numerically to find stationary shapes of vesicles with different topologies and the dynamic evolution towards them. The results are in agreement with those found by minimization of the Canham-Helfrich free energy. This fact shows that our phase-field model could be applied… Expand
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  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2008
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References

SHOWING 1-10 OF 108 REFERENCES
Dynamics of domain growth in self-assembled fluid vesicles.
TLDR
The dynamics of phase separation in multicomponent bilayer fluid vesicles is investigated by means of large-scale dissipative particle dynamics and it is pointed out that the area-to-volume constraint has a strong influence on crossovers between these regimes. Expand
Fluid Vesicles in Shear Flow.
TLDR
A numerical scheme is presented which is capable of solving this flow problem for arbitrarily shaped vesicles using the Oseen tensor formalism and stationary shapes are found for a large range of parameters. Expand
Fluid vesicles with viscous membranes in shear flow.
TLDR
A new simulation technique is presented, which combines three-dimensional multiparticle collision dynamics for the solvent with a dynamically triangulated membrane model, to study the effect of membrane viscosity on the dynamics of vesicles in shear flow. Expand
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
In this paper, we compute the equilibrium configurations of a vesicle membrane under elastic bending energy, with prescribed volume and surface area. A variational phase field method is developed forExpand
Dynamics of fluid vesicles in shear flow: effect of membrane viscosity and thermal fluctuations.
  • H. Noguchi, G. Gompper
  • Materials Science, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2005
TLDR
A simulation technique is presented that combines a three-dimensional particle-based mesoscopic model (multiparticle collision dynamics) for the solvent with a dynamically triangulated surface model for the membrane to investigate the dynamical behavior of vesicles in simple shear flow. Expand
Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
TLDR
This paper studies the three-dimensional deformation of a vesicle membrane under the elastic bending energy, with prescribed bulk volume and surface area, with a newly developed energetic variational formulation. Expand
Elastic Properties of Lipid Bilayers: Theory and Possible Experiments
  • W. Helfrich
  • Chemistry, Materials Science
  • Zeitschrift fur Naturforschung. Teil C: Biochemie, Biophysik, Biologie, Virologie
  • 1973
TLDR
A theory of the elasticity of lipid bilayers is proposed and it is argued that in the case of vesicles (= closed bilayer films) the only elasticity controlling nonspherical shapes is that of curvature. Expand
Entropy-driven tension and bending elasticity in condensed-fluid membranes.
TLDR
Sensitive micropipet methods have been used to measure the relation between tension and the projected surface area in fluid membranes of vesicles and confirm the prediction of equilibrium theory that the projected area should increase logarithmically with tension as shape fluctuations become progressively restricted. Expand
Tumbling of vesicles under shear flow within an advected-field approach.
  • T. Biben, C. Misbah
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
TLDR
It is shown that the vesicle, which assumes a steady orientation with respect to the shear flow for r identical with eta(in)/eta(out)<r(c) undergoes a tumbling bifurcation for r>or=r( c), and develops a powerful method, the advected-field approach. Expand
Viscous Modes of Fluid Bilayer Membranes
We determine the dispersion relation for a fluid bilayer membrane, taking into account the coupling between bending and the local density of the two monolayers. Apart from important corrections toExpand
...
1
2
3
4
5
...