Non-explosivity of Stochastically Modeled Reaction Networks that are Complex Balanced

We consider stochastically modeled reaction networks and prove that if a constant solution to the Kolmogorov forward equation decays fast enough relatively to the transition rates, then the model is non-explosive. In particular, complex-balanced reaction networks are non-explosive.

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Bibliographic Details
Published inBulletin of mathematical biology Vol. 80; no. 10; pp. 2561 - 2579
Main Authors Anderson, David F., Cappelletti, Daniele, Koyama, Masanori, Kurtz, Thomas G.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.10.2018
Springer Nature B.V
Subjects
Cell Biology
Decay rate
Life Sciences
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Networks
Original Article
Stochastic reaction networks
Continuous-time Markov chain
Reaction network
Explosivity
Stationary distribution
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Summary:We consider stochastically modeled reaction networks and prove that if a constant solution to the Kolmogorov forward equation decays fast enough relatively to the transition rates, then the model is non-explosive. In particular, complex-balanced reaction networks are non-explosive.
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ISSN:0092-8240
1522-9602
DOI:10.1007/s11538-018-0473-8