{
  "id": "1105.0301",
  "version": "v1",
  "published": "2011-05-02T11:01:42.000Z",
  "updated": "2011-05-02T11:01:42.000Z",
  "title": "Analytical study of an exclusive genetic switch",
  "authors": [
    "J. Venegas-Ortiz",
    "M. R. Evans"
  ],
  "comment": "28 pages, 6 figures",
  "journal": "J. Phys. A: Math. Theor. 44 (2011) 355001",
  "doi": "10.1088/1751-8113/44/35/355001",
  "categories": [
    "cond-mat.stat-mech",
    "q-bio.MN"
  ],
  "abstract": "The nonequilibrium stationary state of an exclusive genetic switch is considered. The model comprises two competing species and a single binding site which, when bound to by a protein of one species, causes the other species to be repressed. The model may be thought of as a minimal model of the power struggle between two competing parties. Exact solutions are given for the limits of vanishing binding/unbinding rates and infinite binding/unbinding rates. A mean field theory is introduced which is exact in the limit of vanishing binding/unbinding rates. The mean field theory and numerical simulations reveal that generically bistability occurs and the system is in a symmetry broken state. An exact perturbative solution which in principle allows the nonequilibrium stationary state to be computed is also developed and computed to first and second order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-02T11:01:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exclusive genetic switch",
      "analytical study",
      "nonequilibrium stationary state",
      "mean field theory",
      "vanishing binding/unbinding rates"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2011,
      "month": "Sep",
      "volume": 44,
      "number": 35,
      "pages": 355001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JPhA...44I5001V"
    }
  }
}