5 papers
Minimum Action Path theory reveals the details of stochastic biochemical transitions out of oscillatory cellular states
Roberto de la Cruz, Ruben Perez-Carrasco, Pilar Guerrero +2
Cell state determination is the outcome of intrinsically stochastic biochemical reactions. Tran- sitions between such states are studied as noise-driven escape problems in the chem…
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…
Intrinsic noise profoundly alters the dynamics and steady state of morphogen-controlled bistable genetic switches
Ruben Perez-Carrasco, Pilar Guerrero, James Briscoe +1
During tissue development, patterns of gene expression determine the spatial arrangement of cell types. In many cases, gradients of secreted signaling molecules - morphogens - guid…
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…