Literature DB >> 30117084

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

David F Anderson1, Daniele Cappelletti2, Masanori Koyama3, Thomas G Kurtz1.   

Abstract

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.

Keywords:  Continuous-time Markov chain; Explosivity; Reaction network; Stationary distribution; Stochastic reaction networks

Mesh:

Year:  2018        PMID: 30117084     DOI: 10.1007/s11538-018-0473-8

Source DB:  PubMed          Journal:  Bull Math Biol        ISSN: 0092-8240            Impact factor:   1.758


  2 in total

1.  Discrepancies between extinction events and boundary equilibria in reaction networks.

Authors:  David F Anderson; Daniele Cappelletti
Journal:  J Math Biol       Date:  2019-06-22       Impact factor: 2.259

2.  Incorporating age and delay into models for biophysical systems.

Authors:  Wasiur R KhudaBukhsh; Hye-Won Kang; Eben Kenah; Grzegorz A Rempała
Journal:  Phys Biol       Date:  2021-02-13       Impact factor: 2.959

  2 in total

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