A coupled surface-Cahn--Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes

URN to cite this document:: urn:nbn:de:bvb:355-epub-330921
DOI to cite this document:: 10.5283/epub.33092

Garcke, Harald ; Kampmann, Johannes ; Rätz, Andreas ; Röger, Matthias

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Date of publication of this fulltext: 21 Dec 2015 12:57

Alternative links to fulltext:Arxiv

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Abstract

We propose and investigate a model for lipid raft formation and dynamics in biological membranes. The model describes the lipid composition of the membrane and an interaction with cholesterol. To account for cholesterol exchange between cytosol and cell membrane we couple a bulk-diffusion to an evolution equation on the membrane. The latter describes a relaxation dynamics for an energy taking ...