28 citations · 41 across the 3 of their papers we have counts for
4 papers
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…
Stochastic pH oscillations in a model of the urea-urease reaction confined to lipid vesicles
Arthur V. Straube, Stefanie Winkelmann, Christof Schütte +1
The urea-urease clock reaction is a pH switch from acid to basic that can turn into a pH oscillator if it occurs inside a suitable open reactor. We study the confinement of the rea…
From interacting agents to density-based modeling with stochastic PDEs
Luzie Helfmann, Natasa Djurdjevac Conrad, Ana Djurdjevac +2
Many real-world processes can naturally be modeled as systems of interacting agents. However, the long-term simulation of such agent-based models is often intractable when the syst…