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- Title
CONVERGENCE OF AN APPROXIMATION FOR ROTATIONALLY SYMMETRIC TWO-PHASE LIPID BILAYER MEMBRANES.
- Authors
HELMERS, MICHAEL
- Abstract
We consider a diffuse interface approximation for the lipid phases of rotationally symmetric two-phase bilayer membranes and rigorously derive its Γ-limit. In particular, we prove that limit vesicles are C1 across interfaces, which justifies a regularity assumption that is widely made in formal asymptotic and numerical studies. Moreover, a limit membrane may consist of several topological spheres, which are connected at the axis of revolution and resemble complete buds of the vesicle.
- Subjects
BILAYER lipid membranes; APPLIED mathematics education; EQUILIBRIUM; SOLID geometry; MATHEMATICAL programming; MATHEMATICAL models
- Publication
Quarterly Journal of Mathematics, 2015, Vol 66, Issue 1, p143
- ISSN
0033-5606
- Publication type
Article
- DOI
10.1093/qmath/hau027