Robust Stability of Multicomponent Membranes: the Role of Glycolipids
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AbstractWe present the multicomponent functionalized free energies that characterize the low-energy packings of amphiphilic molecules within a membrane through a correspondence to connecting orbits within a reduced dynamical system. To each connecting orbits we associate a manifold of low energy membrane-type configurations parameterized by a large class of admissible interfaces. The normal coercivity of the manifolds is established through criteria depending solely on the structure of the associated connecting orbit. We present a class of examples that arise naturally from geometric singular perturbation techniques, focusing on a model that characterizes the stabilizing role of cholesterol-like glycolipids within phospholipid membranes.
1998 ◽
Vol 96
(1)
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pp. 47-63
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2000 ◽
Vol 458
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pp. 155-161
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1983 ◽
Vol 59-60
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pp. 357-360
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2015 ◽
Vol 14
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pp. 383-389
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