65 citations · 131 across the 5 of their papers we have counts for
5 papers
Stochastic multi-scale models of competition within heterogeneous cellular populations: simulation methods and mean-field analysis
Roberto de la Cruz, Pilar Guerrero, Fabian Spill +1
We propose a modelling framework to analyse the stochastic behaviour of heterogeneous, multi-scale cellular populations. We illustrate our methodology with a particular example in…
Optimisation of Simulations of Stochastic Processes by Removal of Opposing Reactions
Fabian Spill, Philip K. Maini, Helen Byrne
Models invoking the chemical master equation are used in many areas of science, and, hence, their simulation is of interest to many researchers. The complexity of the problems at h…
The effects of intrinsic noise on the behaviour of bistable cell regulatory systems under quasi-steady state conditions
Roberto de la Cruz, Pilar Guerrero, Fabian Spill +1
We analyse the effect of intrinsic fluctuations on the properties of bistable stochastic systems with time scale separation operating under1 quasi-steady state conditions. We first…
Hybrid approaches for multiple-species stochastic reaction-diffusion models
Fabian Spill, Pilar Guerrero, Tomas Alarcon +2
Reaction-diffusion models are used to describe systems in fields as diverse as physics, chemistry, ecology and biology. The fundamental quantities in such models are individual ent…
Mesoscopic and continuum modelling of angiogenesis
Fabian Spill, Pilar Guerrero, Tomas Alarcon +2
Angiogenesis is the formation of new blood vessels from pre-existing ones in response to chemical signals secreted by, for example, a wound or a tumour. In this paper, we propose a…