341 citations · 1.7k across the 37 of their papers we have counts for
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An exact solution to Brownian dynamics of a reversible bimolecular reaction in one dimension
Stephen Smith, Ramon Grima
Brownian dynamics is a popular fine-grained method for simulating systems of interacting particles, such as chemical reactions. Though the method is simple to simulate, it is gener…
Cox process representation and inference for stochastic reaction-diffusion processes
David Schnoerr, Ramon Grima, Guido Sanguinetti
Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction-diffusion processes are widely used to m…
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…
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…
Approximate probability distributions of the master equation
Philipp Thomas, Ramon Grima
Master equations are common descriptions of mesoscopic systems. Analytical solutions to these equations can rarely be obtained. We here derive an analytical approximation of the ti…
System size expansion using Feynman rules and diagrams
Philipp Thomas, Christian Fleck, Ramon Grima +1
Few analytical methods exist for quantitative studies of large fluctuations in stochastic systems. In this article, we develop a simple diagrammatic approach to the Chemical Master…