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math.AP2018
On the Sharp Interface Limit of a Model for Phase Separation on Biological Membranes
Helmut Abels, Johannes Kampmann
We rigorously prove the convergence of weak solutions to a model for lipid raft formation in cell membranes which was recently proposed by Garcke et al. to weak (varifold) solution…
math.AP2018
On a Model for Phase Separation on Biological Membranes and its Relation to the Ohta-Kawasaki Equation
Helmut Abels, Johannes Kampmann
We provide a detailed mathematical analysis of a model for phase separation on biological membranes which was recently proposed by Garcke, Rätz, Röger and the second author. The mo…
math.AP2015★ 188 cited
A coupled surface-Cahn--Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes
Harald Garcke, Johannes Kampmann, Andreas Rätz +1
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…