188 citations · 272 across the 3 of their papers we have counts for
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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…
math.AP2012
Colliding Interfaces in Old and New Diffuse-interface Approximations of Willmore-flow
Selim Esedoglu, Andreas Rätz, Matthias Röger
This paper is concerned with diffuse-interface approximations of the Willmore flow. We first present numerical results of standard diffuse-interface models for colliding one dimens…
math.AP2011★ 60 cited
Turing instabilities in a mathematical model for signaling networks
Andreas Rätz, Matthias Röger
GTPase molecules are important regulators in cells that continuously run through an activation/deactivation and membrane-attachment/membrane-detachment cycle. Activated GTPase is a…