{
  "id": "2104.03454",
  "version": "v1",
  "published": "2021-04-08T01:23:04.000Z",
  "updated": "2021-04-08T01:23:04.000Z",
  "title": "Analysis of Mass-Action Systems by Split Network Translation",
  "authors": [
    "Matthew D. Johnston"
  ],
  "categories": [
    "math.DS",
    "math.OC"
  ],
  "abstract": "We introduce the notion of corresponding a chemical reaction network to a split network translation, and use this novel process to extend the scope of existing network-based theory for characterizing the steady state set of mass-action systems. In the process of network splitting, the reactions of a network are divided into subnetworks, called slices, in such a way that, when summed across the slices, the stoichiometry of each reaction sums to that of the original network. This can produce a network with more desirable structural properties, such as weak reversibility and a lower deficiency, which can then be used to establish steady state properties of the original mass-action system such as multistationarity and absolute concentration robustness. We also present a computational implementation utilizing mixed-integer linear programming for determining whether a given chemical reaction network has a weakly reversible split network translation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-08T01:23:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "92C42",
      "34A34"
    ],
    "keywords": [
      "mass-action system",
      "reversible split network translation",
      "chemical reaction network",
      "utilizing mixed-integer linear programming",
      "computational implementation utilizing mixed-integer linear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}