102 citations · 119 across the 11 of their papers we have counts for
5 papers · 1 filter
Effects of different discretisations of the Laplacian upon stochastic simulations of reaction-diffusion systems on both static and growing domains
Bartosz J. Bartmanski, Ruth E. Baker
By discretising space into compartments and letting system dynamics be governed by the reaction-diffusion master equation, it is possible to derive and simulate a stochastic model…
Convergence of solutions in a mean-field model of go-or-grow type with reservation of sites for proliferation and cell cycle delay
Ruth E. Baker, Péter Boldog, Gergely Röst
We consider the mean-field approximation of an individual-based model describing cell motility and proliferation, which incorporates the volume exclusion principle, the go-or-grow…
Displacement of transport processes on networked topologies
Daniel B. Wilson, Ruth E. Baker, Francis G. Woodhouse
Consider a particle whose position evolves along the edges of a network. One definition for the displacement of a particle is the length of the shortest path on the network between…
Simulation and inference algorithms for stochastic biochemical reaction networks: from basic concepts to state-of-the-art
David J. Warne, Ruth E. Baker, Matthew J. Simpson
Stochasticity is a key characteristic of intracellular processes such as gene regulation and chemical signalling. Therefore, characterising stochastic effects in biochemical system…
Global dynamics of a novel delayed logistic equation arising from cell biology
Ruth E. Baker, Gergely Röst
The delayed logistic equation (also known as Hutchinson's equation or Wright's equation) was originally introduced to explain oscillatory phenomena in ecological dynamics. While it…