A unified framework for limit results in chemical reaction networks on multiple time-scales

DOI10.1214/22-ejp897zbMath1517.60037arXiv2111.15396OpenAlexW3215653992MaRDI QIDQ6164914

Timo Enger, Peter Pfaffelhuber

Publication date: 4 July 2023

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15396

zbMATH Keywords

Markov jump processstochastic averagingfunctional central limit thoerem

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Biochemistry, molecular biology (92C40) Functional limit theorems; invariance principles (60F17) Transition functions, generators and resolvents (60J35) Jump processes on general state spaces (60J76)

Cites Work

• Elimination of intermediate species in multiscale stochastic reaction networks
• Graphical reduction of reaction networks by linear elimination of species
• Asymptotic analysis of multiscale approximations to reaction networks
• Separation of time-scales and model reduction for stochastic reaction networks
• Heineken, Tsuchiya and Aris: ``On the mathematical status of the pseudo-steady state hypothesis. A classic from Volume 1 of \textit{Mathematical Biosciences}
• Central limit theorems and diffusion approximations for multiscale Markov chain models
• Stochastic Analysis of Biochemical Systems
• Solutions of ordinary differential equations as limits of pure jump markov processes
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes

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