{
  "id": "1908.04497",
  "version": "v1",
  "published": "2019-08-13T05:41:13.000Z",
  "updated": "2019-08-13T05:41:13.000Z",
  "title": "Robustness in Power-law Kinetic Systems with Reactant-determined Interactions",
  "authors": [
    "Noel T. Fortun",
    "Eduardo R. Mendoza",
    "Luis F. Razon",
    "Angelyn R. Lao"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Robustness against the presence of environmental disruptions can be observed in many systems of chemical reaction network. However, identifying the underlying components of a system that give rise to robustness is often elusive. The influential work of Shinar and Feinberg established simple yet subtle network-based conditions for absolute concentration robustness (ACR), a phenomena in which a species in a mass-action system has the same concentration for any steady state the network may admit. In this contribution, we extend this result to embrace kinetic systems more general than mass-action systems, namely, power-law kinetic systems with reactant-determined interactions (denoted by \"PL-RDK\"). In PL-RDK, the kinetic order vectors (which we call \"interactions\") of reactions with the same reactant complex are identical. As illustration, we considered a scenario in the pre-industrial state of global carbon cycle. A power-law approximation of the dynamical system of this scenario is found to be dynamically equivalent to an ACR-possessing PL-RDK system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-13T05:41:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "power-law kinetic systems",
      "reactant-determined interactions",
      "mass-action system",
      "kinetic order vectors",
      "embrace kinetic systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}