{
  "annotation_id": "f274c501-4629-492d-8676-2d711b2feaf2",
  "date_created": "2026-03-02T18:00:43.209000Z",
  "date_modified": "2026-03-02T18:00:43.209000Z",
  "file_hash": "4b82b8bedc309fd761d7ec664480fd7e76ec6ef8029f0cd3026faf760f366a3a",
  "private": false,
  "record": {
    "abstract": "The pattern formation in orientation and ocular dominance columns is one of\nthe most investigated problems in the brain. From a known cortical structure,\nwe build spin-like Hamiltonian models with long-range interactions of the\nMexican hat type. These Hamiltonian models allow a coherent interpretation of\nthe diverse phenomena in the visual map formation with the help of relaxation\ndynamics of spin systems. In particular, we explain various phenomena of\nself-organization in orientation and ocular dominance map formation including\nthe pinwheel annihilation and its dependency on the columnar wave vector and\nboundary conditions.",
    "arxiv_id": "physics/0306047",
    "authors": [
      "Myoung Won Cho",
      "Seunghwan Kim"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio.NC"
    ],
    "doi": "10.1103/PhysRevLett.92.018101",
    "title": "Understanding visual map formation through vortex dynamics of spin   Hamiltonian models",
    "url": "https://arxiv.org/abs/physics/0306047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea10ee1d-72e3-487b-b2b1-2e5686e12358",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}