Literature DB >> 29024749

A computational approach to extinction events in chemical reaction networks with discrete state spaces.

Matthew D Johnston1.   

Abstract

Recent work of Johnston et al. has produced sufficient conditions on the structure of a chemical reaction network which guarantee that the corresponding discrete state space system exhibits an extinction event. The conditions consist of a series of systems of equalities and inequalities on the edges of a modified reaction network called a domination-expanded reaction network. In this paper, we present a computational implementation of these conditions written in Python and apply the program on examples drawn from the biochemical literature. We also run the program on 458 models from the European Bioinformatics Institute's BioModels Database and report our results.
Copyright © 2017 Elsevier Inc. All rights reserved.

Keywords:  Algorithms; Discrete extinction; Linear programming; Reaction network; Stochastic process

Mesh:

Year:  2017        PMID: 29024749     DOI: 10.1016/j.mbs.2017.10.003

Source DB:  PubMed          Journal:  Math Biosci        ISSN: 0025-5564            Impact factor:   2.144


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

Authors:  Matthew D Johnston; David F Anderson; Gheorghe Craciun; Robert Brijder
Journal:  J Math Biol       Date:  2017-09-26       Impact factor: 2.259

3.  Derivation of stationary distributions of biochemical reaction networks via structure transformation.

Authors:  Hyukpyo Hong; Jinsu Kim; M Ali Al-Radhawi; Eduardo D Sontag; Jae Kyoung Kim
Journal:  Commun Biol       Date:  2021-05-24
  3 in total

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