{
  "id": "1701.02014",
  "version": "v1",
  "published": "2017-01-08T20:33:52.000Z",
  "updated": "2017-01-08T20:33:52.000Z",
  "title": "A Computational Approach to Extinction Events in Chemical Reaction Networks with Discrete State Spaces",
  "authors": [
    "Matthew D. Johnston"
  ],
  "comment": "27 pages",
  "categories": [
    "math.OC",
    "math.DS"
  ],
  "abstract": "Recent work of M.D. 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, including a model of polyamine metabolism in mammals and a model of the pentose phosphate pathway in Trypanosoma brucei. We also run the program on 458 models from the European Bioinformatics Institute's BioModels Database and report our results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-08T20:33:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "92C42",
      "90C90"
    ],
    "keywords": [
      "chemical reaction network",
      "extinction event",
      "computational approach",
      "discrete state space system",
      "european bioinformatics institutes biomodels database"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}