188 citations · 272 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
Spiral Growth and Step Edge Barriers
A. Redinger, O. Ricken, P. Kuhn +4
The growth of spiral mounds containing a screw dislocation is compared to the growth of wedding cakes by two-dimensional nucleation. Using phase field simulations and homoepitaxial…