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

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


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 the relaxation dynamics for an energy which ...


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