Conditions for extinction events in chemical reaction networks with discrete state spaces

DOI10.1007/s00285-017-1182-xzbMath1392.92032arXiv1701.02012OpenAlexW2572651849WikidataQ47670209 ScholiaQ47670209MaRDI QIDQ1742481

Matthew D. Johnston, Gheorghe Craciun, David F. Anderson, Robert Brijder

Publication date: 11 April 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02012

zbMATH Keywords

stochastic processextinctionPetri netreaction graphreaction network

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Systems biology, networks (92C42) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (8)

Polynomial Time Reachability Analysis in Discrete State Chemical Reaction Networks Obeying Conservation Laws ⋮ Structural classification of continuous time Markov chains with applications ⋮ An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks ⋮ Existence of a unique quasi-stationary distribution in stochastic reaction networks ⋮ Comparison of deterministic and stochastic regime in a model for Cdc42 oscillations in fission yeast ⋮ A computational approach to extinction events in chemical reaction networks with discrete state spaces ⋮ Stationary distributions via decomposition of stochastic reaction networks ⋮ Discrepancies between extinction events and boundary equilibria in reaction networks

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