{
  "annotation_id": "b4cef779-f8f4-48de-8602-21887f81f385",
  "date_created": "2026-03-02T18:01:25.371000Z",
  "date_modified": "2026-03-02T18:01:25.371000Z",
  "file_hash": "85f22d335fd1bc9a82866c0a612c8cc1d700808cbdd10795544aeba86ba60411",
  "private": false,
  "record": {
    "abstract": "We consider evolution of initial disturbances in spatially extended systems\nwith autonomous rhythmic activity, such as the heart. We consider the case when\nthe activity is stable with respect to very smooth (changing little across the\nmedium) disturbances and construct lattice models for description of\nnot-so-smooth disturbances, in particular, topological defects; these models\nare modifications of the diffusive XY model. We find that when the activity on\neach lattice site is very rigid in maintaining its form, the topological\ndefects - vortices or spirals - nucleate a transition to a disordered,\nturbulent state.",
    "arxiv_id": "physics/9904067",
    "authors": [
      "S. Khlebnikov"
    ],
    "categories": [
      "physics.bio-ph",
      "chao-dyn",
      "cond-mat.stat-mech",
      "nlin.CD",
      "q-bio.TO"
    ],
    "doi": "10.1103/PhysRevE.60.7262",
    "journal_ref": "Phys. Rev. E 60, 7262 (1999)",
    "title": "Dynamics of lattice spins as a model of arrhythmia",
    "url": "https://arxiv.org/abs/physics/9904067"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "27b24ec5-3695-4e83-afa9-467eabf032c1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}