30 citations · 127 across the 20 of their papers we have counts for
4 papers · 1 filter
Data-driven Reduction of Transfer Operators for Particle Clustering Dynamics
Nathalie Wehlitz, Grigorios A. Pavliotis, Christof Schütte +1
We develop an operator-based framework to coarse-grain interacting particle systems that exhibit clustering dynamics. Starting from the particle-based transfer operator, we first c…
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,…
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…
A probabilistic framework for particle-based reaction-diffusion dynamics using classical Fock space representations
Mauricio J. del Razo, Daniela Frömberg, Arthur V. Straube +3
The modeling and simulation of stochastic reaction-diffusion processes is a topic of steady interest that is approached with a wide range of methods. \rev{At the level of particle-…