{
  "id": "1001.5469",
  "version": "v1",
  "published": "2010-01-29T20:12:03.000Z",
  "updated": "2010-01-29T20:12:03.000Z",
  "title": "Long time behaviour in a model of microtubule growth",
  "authors": [
    "O. Hryniv",
    "M. Menshikov"
  ],
  "comment": "To appear in Advances in Applied Probability",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a continuous time stochastic process on strings made of two types of particles, whose dynamics mimics the behaviour of microtubules in a living cell; namely, the strings evolve via a competition between (local) growth/shrinking as well as (global) hydrolysis processes. We give a complete characterization of the phase diagram of the model, and derive several criteria of the transient and recurrent regimes for the underlying stochastic process.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-29T20:12:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B41"
    ],
    "keywords": [
      "long time behaviour",
      "microtubule growth",
      "continuous time stochastic process",
      "underlying stochastic process",
      "recurrent regimes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.5469H"
    }
  }
}