214 citations · 1.5k across the 65 of their papers we have counts for
9 papers · 1 filter
Coordinated motion of epithelial layers on curved surfaces
Lea Happel, Axel Voigt
Coordinated cellular movements are key processes in tissue morphogenesis. Using a cell-based modeling approach we study the dynamics of epithelial layers lining surfaces with const…
Stability of rotating equilibrium states of fluid deformable surfaces
Michael Nestler, Axel Voigt
We consider rotating equilibrium states of fluid deformable surfaces. These states are characterized by a force balance between centrifugal and bending forces, involve surface Kill…
A surface finite element method for the Navier-Stokes equations on evolving surfaces
Veit Krause, Eric Kunze, Axel Voigt
We introduce a surface finite element method for the numerical solution of Navier-Stokes equations on evolving surfaces with a prescribed deformation of the surface in normal direc…
Derivation and simulation of a two-phase fluid deformable surface model
Elena Bachini, Veit Krause, Ingo Nitschke +1
We consider two-phase fluid deformable surfaces as model systems for biomembranes. Such surfaces are modeled by incompressible surface Navier-Stokes-Cahn-Hilliard-like equations wi…
Tensorial time derivatives on moving surfaces: General concepts and a specific application for surface Landau-de Gennes models
Ingo Nitschke, Axel Voigt
Observer-invariance is regarded as a minimum requirement for an appropriate definition of time derivatives. We systematically discuss such time derivatives for surface tensor field…
A diffuse interface approach for vector-valued PDEs on surfaces
Michael Nestler, Axel Voigt
Approximating PDEs on surfaces by the diffuse interface approach allows us to use standard numerical tools to solve these problems. This makes it an attractive numerical approach.…
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…
The interplay of geometry and coarsening in multicomponent lipid vesicles under the influence of hydrodynamics
Elena Bachini, Veit Krause, Axel Voigt
We consider the impact of surface hydrodynamics on the interplay between curvature and composition in coarsening processes on model systems for biomembranes. This includes scaling…
Robust statistical properties of T1 transitions in confluent cell tissues
Harish P Jain, Axel Voigt, Luiza Angheluta
Large-scale tissue deformation which is fundamental to tissue development hinges on local cellular rearrangements, such as T1 transitions. In the realm of the multi-phase field mod…