34 citations · 202 across the 25 of their papers we have counts for
5 papers · 1 filter
Spatially-extended hybrid methods: a review
Cameron A. Smith, Christian A. Yates
Many biological and physical systems exhibit behaviour at multiple spatial, temporal or population scales. Multiscale processes provide challenges when they are to be simulated usi…
Modelling persistence of motion in a crowded environment: the diffusive limit of excluding velocity-jump processes
Enrico Gavagnin, Christian A. Yates
Persistence of motion is the tendency of an object to maintain motion in a direction for short time scales without necessarily being biased in any direction in the long term. One o…
The auxiliary region method: A hybrid method for coupling PDE- and Brownian-based dynamics for reaction-diffusion systems
Cameron A. Smith, Christian A. Yates
Reaction-diffusion systems are used to represent many biological and physical phenomena. They model the random motion of particles (diffusion) and interactions between them (reacti…
Robustly simulating biochemical reaction kinetics using multi-level Monte Carlo approaches
Christopher Lester, Christian A. Yates, Ruth E. Baker
In this work, we consider the problem of estimating summary statistics to characterise biochemical reaction networks of interest. Such networks are often described using the framew…
A multi-stage representation of cell proliferation as a Markov process
Christian A Yates, Matthew J Ford, Richard L Mort
The stochastic simulation algorithm commonly known as Gillespie's algorithm is now used ubiquitously in the modelling of biological processes in which stochastic effects play an im…