30 citations · 127 across the 20 of their papers we have counts for
6 papers · 1 filter
Accurate reduced models for the pH oscillations in the urea-urease reaction confined to giant lipid vesicles
Arthur V. Straube, Stefanie Winkelmann, Felix Höfling
This theoretical study concerns a pH oscillator based on the urea-urease reaction confined to giant lipid vesicles. Under suitable conditions, differential transport of urea and hy…
Chemical diffusion master equation: formulations of reaction--diffusion processes on the molecular level
Mauricio J. del Razo, Stefanie Winkelmann, Rupert Klein +1
The chemical diffusion master equation (CDME) describes the probabilistic dynamics of reaction--diffusion systems at the molecular level [del Razo et al., Lett. Math. Phys. 112:49,…
Large population limits of Markov processes on random networks
Marvin Lücke, Jobst Heitzig, Péter Koltai +2
We consider time-continuous Markovian discrete-state dynamics on random networks of interacting agents and study the large population limit. The dynamics are projected onto low-dim…
Synchronization and random attractors for reaction jump processes
Maximilian Engel, Guillermo Olicón-Méndez, Nathalie Unger +1
This work explores a synchronization-like phenomenon induced by common noise for continuous-time Markov jump processes given by chemical reaction networks. A corresponding random d…
Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading
Stefanie Winkelmann, Johannes Zonker, Christof Schütte +1
Agent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost…
A route to the hydrodynamic limit of a reaction-diffusion master equation using gradient structures
Alberto Montefusco, Christof Schütte, Stefanie Winkelmann
The reaction-diffusion master equation (RDME) is a lattice-based stochastic model for spatially resolved cellular processes. It is often interpreted as an approximation to spatiall…