341 citations · 1.7k across the 37 of their papers we have counts for
6 papers · 1 filter
Stochastic Simulation of Biomolecular Networks in Dynamic Environments
Margaritis Voliotis, Philipp Thomas, Ramon Grima +1
Simulation of biomolecular networks is now indispensable for studying biological systems, from small reaction networks to large ensembles of cells. Here we present a novel approach…
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…
Distribution approximations for the chemical master equation: comparison of the method of moments and the system size expansion
Alexander Andreychenko, Luca Bortolussi, Ramon Grima +2
The stochastic nature of chemical reactions involving randomly fluctuating population sizes has lead to a growing research interest in discrete-state stochastic models and their an…
The linear-noise approximation and the chemical master equation exactly agree up to second-order moments for a class of chemical systems
Ramon Grima
It is well known that the linear-noise approximation (LNA) exactly agrees with the chemical master equation, up to second-order moments, for chemical systems composed of zero and f…
Comparison of different moment-closure approximations for stochastic chemical kinetics
David Schnoerr, Guido Sanguinetti, Ramon Grima
In recent years moment-closure approximations (MA) of the chemical master equation have become a popular method for the study of stochastic effects in chemical reaction systems. Se…