{
  "id": "cond-mat/9905106",
  "version": "v1",
  "published": "1999-05-07T23:49:47.000Z",
  "updated": "1999-05-07T23:49:47.000Z",
  "title": "Random walks in the space of conformations of toy proteins",
  "authors": [
    "Rose Du",
    "Alexander Yu. Grosberg",
    "Toyoichi Tanaka"
  ],
  "comment": "4 pages, 3 figures",
  "journal": "Phys. Rev. Lett., v. 84, n. 8, pp. 1828-1831, 2000.",
  "doi": "10.1103/PhysRevLett.84.1828",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.soft",
    "q-bio"
  ],
  "abstract": "Monte Carlo dynamics of the lattice 48 monomers toy protein is interpreted as a random walk in an abstract (discrete) space of conformations. To test the geometry of this space, we examine the return probability $P(T)$, which is the probability to find the polymer in the native state after $T$ Monte Carlo steps, provided that it starts from the native state at the initial moment. Comparing computational data with the theoretical expressions for $P(T)$ for random walks in a variety of different spaces, we show that conformational spaces of polymer loops may have non-trivial dimensions and exhibit negative curvature characteristic of Lobachevskii (hyperbolic) geometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-05-07T23:49:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random walk",
      "conformations",
      "monte carlo dynamics",
      "native state",
      "monte carlo steps"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}