{
  "id": "cond-mat/0005265",
  "version": "v1",
  "published": "2000-05-16T18:29:08.000Z",
  "updated": "2000-05-16T18:29:08.000Z",
  "title": "Time evolution of the Partridge-Barton Model",
  "authors": [
    "Roberto N. Onody",
    "Nazareno G. F. de Medeiros"
  ],
  "comment": "10 pages, Latex, 1 postscript figure, published in Phys. Rev. E 61, 5664 (2000)",
  "doi": "10.1103/PhysRevE.61.5664",
  "categories": [
    "cond-mat.stat-mech",
    "q-bio"
  ],
  "abstract": "The time evolution of the Partridge-Barton model in the presence of the pleiotropic constraint and deleterious somatic mutations is exactly solved for arbitrary fecundity in the context of a matricial formalism. Analytical expressions for the time dependence of the mean survival probabilities are derived. Using the fact that the asymptotic behavior for large time $t$ is controlled by the largest matrix eigenvalue, we obtain the steady state values for the mean survival probabilities and the Malthusian growth exponent. The mean age of the population exhibits a $t^{-1}$ power law decayment. Some Monte Carlo simulations were also performed and they corroborated our theoretical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-16T18:29:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "time evolution",
      "partridge-barton model",
      "mean survival probabilities",
      "largest matrix eigenvalue",
      "steady state values"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}