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• W1969937004 abstract "The quantitative understanding of membranes is still rooted in work performed in the 1970s by Helfrich and others, concerning amphiphilic bilayers. However, most biological membranes contain a wide variety of nonamphiphilic molecules too. Drawing analogy with the physics of nematic/non-nematic mixtures, we present a dynamical (out of equilibrium) description of such multicomponent membranes. The approach combines nematohydrodynamics in the linear regime and a proper use of (differential) geometry. The main result is to demonstrate that one can obtain equations describing a cross-diffusion effect (similar to the Soret and Dufour effects) between curvature and the (in-membrane) flow of amphiphilic molecules relative to nonamphiphilic ones. Surprisingly, the shape of a membrane relaxes according to a simple heat equation in the mean curvature, a process that is accompanied by a simultaneous boost to the diffusion of amphiphiles away from regions of high curvature. The model also predicts the inverse process, by which the forced bending of a membrane induces a flow of amphiphilic molecules towards areas of high curvature. In principle, numerical values for the relevant diffusion coefficients should be verifiable by experiment." @default.
• W1969937004 created "2016-06-24" @default.
• W1969937004 creator A5084922225 @default.
• W1969937004 date "2014-06-09" @default.
• W1969937004 modified "2023-10-14" @default.
• W1969937004 title "Relaxation and curvature-induced molecular flows within multicomponent membranes" @default.
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• W1969937004 doi "https://doi.org/10.1103/physreve.89.062704" @default.
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