A Surface Phase Field Model for Two-Phase Biological Membranes

@article{Elliott2010ASP,
  title={A Surface Phase Field Model for Two-Phase Biological Membranes},
  author={Charles M. Elliott and Bj{\"o}rn Stinner},
  journal={SIAM Journal of Applied Mathematics},
  year={2010},
  volume={70},
  pages={2904-2928}
}
We study vesicles formed by lipid bilayers that are governed by an elastic bending energy and on which the lipids laterally separate forming two different phases. The energy laden phase interfaces may be modeled as curves on the hyper-surface representing the membrane (sharp interface model). The phase field methodology is another powerful tool to model such phase separation phenomena where thin layers describe the interfaces (diffuse interface model). For both approaches we characterize… CONTINUE READING

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View 1 Excerpt

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References

Publications referenced by this paper.
Showing 1-10 of 30 references

Neck geometry and shape transitions in vesicles with co-existing fluid phases: Role of gaussian curvature stiffness vs

S. L. Das, J. T. Jenkins, T. Baumgart
spontaneous curvature, Europhys. Lett., 86 • 2009
View 10 Excerpts
Highly Influenced

Neck geometry and shape transitions in vesicles with co - existing fluid phases : Role of gaussian curvature stiffness vs . spontaneous curvature

G. Dziuk
Europhys . Lett . • 2009

Relaxation dynamics of fluid membranes.

Physical review. E, Statistical, nonlinear, and soft matter physics • 2009
View 2 Excerpts

A higher-order boundary layer analysis for lipid vesicles with two fluid domains

S. L. Das, J. T. Jenkins
J. Fluid Mech., 597 • 2008
View 1 Excerpt

Computational parametric Willmore flow

Numerische Mathematik • 2008
View 1 Excerpt

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