2 citations · 3 across the 3 of their papers we have counts for
4 papers
Hydrodynamic liquid crystal models for lipid bilayers
Ingo Nitschke, Jan Magnus Sischka, Axel Voigt
Coarse-grained continuous descriptions for lipid bilayers are typically based on minimizing the Helfrich energy. Such models consider the fluid properties of these structures only…
A numerical approach for the dynamics of active viscoelastic surfaces
Francine Kolley-Köchel, Jan Magnus Sischka, Axel Voigt +2
The dynamics of active viscoelastic surfaces plays an important role in biological systems. One prominent example is the actin cortex, a thin bio-polymer sheet underneath the outer…
The influence of higher order geometric terms on the asymmetry and dynamics of membranes
Jan Magnus Sischka, Ingo Nitschke, Axel Voigt
We consider membranes as fluid deformable surface and allow for higher order geometric terms in the bending energy. The evolution equations are derived and numerically solved using…
Degenerate area preserving surface Allen-Cahn equation and its sharp interface limit
Michal Benes, Miroslav Kolar, Jan M. Sischka +1
We consider formal matched asymptotics to show the convergence of a degenerate area preserving surface Allen-Cahn equation to its sharp interface limit of area preserving geodesic…