30 citations · 60 across the 4 of their papers we have counts for
9 papers
Model reduction for stochastic chemical systems with abundant species
Stephen Smith, Claudia Cianci, Ramon Grima
Biochemical processes typically involve many chemical species, some in abundance and some in low molecule numbers. Here we first identify the rate constant limits under which the c…
Molecular finite-size effects in stochastic models of equilibrium chemical systems
Claudia Cianci, Stephen Smith, Ramon Grima
The reaction-diffusion master equation (RDME) is a standard modelling approach for understanding stochastic and spatial chemical kinetics. An inherent assumption is that molecules…
WKB versus generalized van Kampen system-size expansion: the stochastic logistic equation
Claudia Cianci, Duccio Fanelli, Alan J. McKane
Stochastic fluctuations are central to the understanding of extinction dynamics. In the context of population models they allow for the description of the transition from the vicin…
Stochastic patterns in a 1D Rock-Paper-Scissor model with mutation
Cianci Claudia, Timoteo Carletti
In the framework of a 1D cyclic competition model, the Rock-Paper-Scissor model, where bacteria are allowed to mutate and move in space, we study the formation of stochastic patter…
Linear noise approximation for stochastic oscillations of intracellular calcium
Laura Cantini, Claudia Cianci, Duccio Fanelli +2
A stochastic model of intracellular calcium oscillations is analytically studied. The governing master equation is expanded under the linear noise approximation and a closed predic…
Stochastic Turing Patterns for systems with one diffusing species
Laura Cantini, Claudia Cianci, Duccio Fanelli +2
The problem of pattern formation in a generic two species reaction--diffusion model is studied, under the hypothesis that only one species can diffuse. For such a system, the class…