{
  "annotation_id": "5d826967-0c25-4ada-985a-6834b8942095",
  "date_created": "2026-03-02T18:00:29.405000Z",
  "date_modified": "2026-03-02T18:00:29.405000Z",
  "file_hash": "53c55bda0c6630f8e53f82f65864677a9144e34b71c5ae45237ebbb18d7a6604",
  "private": false,
  "record": {
    "abstract": "We propose a simple discrete stochastic model for calcium dynamics in living\ncells. Specifically, the calcium concentration distribution is assumed to give\nrise to a set of probabilities for the opening/closing of channels which\nrelease calcium thereby changing those probabilities. We study this model in\none dimension, analytically in the mean-field limit of large number of channels\nper site N, and numerically for small N. As the number of channels per site is\nincreased, the transition from a non-propagating region of activity to a\npropagating one changes in nature from one described by directed percolation to\nthat of deterministic depinning in a spatially discrete system. Also, for a\nsmall number of channels a propagating calcium wave can leave behind a novel\nfluctuation-driven state, in a parameter range where the limiting deterministic\nmodel exhibits only single pulse propagation.",
    "arxiv_id": "patt-sol/9910001",
    "authors": [
      "Markus Baer",
      "Martin Falcke",
      "Herbert Levine",
      "Lev S. Tsimring"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS",
      "q-bio.SC"
    ],
    "doi": "10.1103/PhysRevLett.84.5664",
    "title": "Discrete stochastic modeling of calcium channel dynamics",
    "url": "https://arxiv.org/abs/patt-sol/9910001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f4891e1e-6361-4bdc-a2c7-b31062ced429",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}