{
  "annotation_id": "e420d158-5b7d-479e-b52d-e51834ebc719",
  "date_created": "2026-03-02T18:01:35.038000Z",
  "date_modified": "2026-03-02T18:01:35.038000Z",
  "file_hash": "1f97abcec8881986f224e7e923453e6a5c3771028d00ba73767c57f5e15a6870",
  "private": false,
  "record": {
    "abstract": "We study a classical two-state stochastic system in a sea of substrates and\nproducts (absorbing states), which can be interpreted as a single\nMichaelis-Menten catalyzing enzyme or as a channel on a cell surface. We\nintroduce a novel general method and use it to derive the expression for the\nfull counting statistics of transitions among the absorbing states. For the\nevolution of the system under a periodic perturbation of the kinetic rates, the\nlatter contains a term with a purely geometrical (the Berry phase)\ninterpretation. This term gives rise to a pump current between the absorbing\nstates, which is due entirely to the stochastic nature of the system. We\ncalculate the first two cumulants of this current, and we argue that it is\nobservable experimentally.",
    "arxiv_id": "q-bio/0612018",
    "authors": [
      "N. A. Sinitsyn",
      "Ilya Nemenman"
    ],
    "categories": [
      "q-bio.QM",
      "q-bio.MN"
    ],
    "doi": "10.1209/0295-5075/80/38001",
    "journal_ref": "EPL, 77 (2007) 58001",
    "title": "The Berry phase and the pump flux in stochastic chemical kinetics",
    "url": "https://arxiv.org/abs/q-bio/0612018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "858dd702-00cd-4aa6-b003-9b74475c9cac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}