341 citations · 1.7k across the 37 of their papers we have counts for
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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…
Noise-induced multistability in chemical systems: Discrete vs Continuum modeling
Andrew Duncan, Shuohao Liao, Tomas Vejchodsky +2
The noisy dynamics of chemical systems is commonly studied using either the chemical master equation (CME) or the chemical Fokker-Planck equation (CFPE). The latter is a continuum…
The complex chemical Langevin equation
David Schnoerr, Guido Sanguinetti, Ramon Grima
The chemical Langevin equation (CLE) is a popular simulation method to probe the stochastic dynamics of chemical systems. The CLE's main disadvantage is its break down in finite ti…
Validity conditions for moment closure approximations in stochastic chemical kinetics
David Schnoerr, Guido Sanguinetti, Ramon Grima
Approximations based on moment-closure (MA) are commonly used to obtain estimates of the mean molecule numbers and of the variance of fluctuations in the number of molecules of che…