3 citations · 4 across the 7 of their papers we have counts for
7 papers
Classification and stability analysis of polarising and depolarising travelling wave solutions for a model of collective cell migration
Nizhum Rahman, Robert Marangell, Dietmar Oelz
We study travelling wave solutions of a 1D continuum model for collective cell migration in which cells are characterised by position and polarity. Four different types of travelli…
Space dependent adhesion forces mediated by transient elastic linkages : new convergence and global existence results
Vuk Milisic, Dietmar Oelz
In the first part of this work we show the convergence with respect to an asymptotic parameter ε of a delayed heat equation. It represents a mathematical extension of works conside…
Existence and uniqueness of solutions for a model of non-sarcomeric actomyosin bundles
Stefanie Hirsch, Dietmar Oelz, Christian Schmeiser
The model for disordered actomyosin bundles recently derived by Oelz, in the work 'A viscous two-phase model for contractile actomyosin bundles' (Math. Biol., 68 (2013), 1653--1676…
Tear-off versus global existence for a structured model of adhesion mediated by transient elastic linkages
Vuk Milisic, Dietmar Oelz
We consider a microscopic model for friction mediated by transient elastic linkages introduced in [V. Milisic and D. Oelz. SIAM J. on Math. Anal. (2015). V. Milisic and D. Oelz. J.…
Numerical treatment of the Filament Based Lamellipodium Model (FBLM)
A. Manhart, D. Oelz, C. Schmeiser +1
We describe in this work the numerical treatment of the Filament Based Lamellipodium Model (FBLM). The model itself is a two-phase two-dimensional continuum model, describing the d…
An Extended Filament Based Lamellipodium Model Produces Various Moving Cell Shapes in the Presence of Chemotactic Signals
Angelika Manhart, Christian Schmeiser, Nikolaos Sfakianakis +1
The Filament Based Lamellipodium Model (FBLM) is a two-phase two-dimensional continuum model, describing the dynamcis of two interacting families of locally parallel actin filament…