3 papers
math.AP2016
Convergence of an approximation for rotationally symmetric two-phase lipid bilayer membranes
Michael Helmers
We consider a diffuse interface approximation for the lipid phases of rotationally symmetric two-phase bilayer membranes and rigorously derive its -limit. In particular, we prov…
math.AP2016
Kinks in two-phase lipid bilayer membranes
Michael Helmers
Common models for two-phase lipid bilayer membranes are based on an energy that consists of an elastic term for each lipid phase and a line energy at interfaces. Although such an e…
math.AP2016
Snapping elastic curves as a one-dimensional analogue of two-component lipid bilayers
Michael Helmers
In order to study a one-dimensional analogue of the spontaneous curvature model for two-component lipid bilayer membranes we consider planar curves that are made of a material with…