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arXiv · 1912.09603

Robust Stability of Multicomponent Membranes: the Role of Glycolipids

Yuan Chen·Arjen Doelman·Keith Promislow·Frits Veerman
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Abstract

We 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.

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Yuan Chen, Arjen Doelman, Keith Promislow, Frits Veerman. 2019-12-20. Robust Stability of Multicomponent Membranes: the Role of Glycolipids. https://doi.org/10.1007/s00205-020-01571-x

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