{
  "annotation_id": "02178003-4e85-45f7-bfeb-eea6c289a233",
  "date_created": "2026-03-02T18:01:11.178000Z",
  "date_modified": "2026-03-02T18:01:11.178000Z",
  "file_hash": "115b9c8b1b45b3636289620be8b7846b16575b275263e658b4f644a0740ad9b7",
  "private": false,
  "record": {
    "abstract": "We follow our general model in Ref. [3] and analyze the formation of\nretinotopic projections for the biologically relevant situation of spherical\ngeometries. To this end we elaborate both a linear and a nonlinear synergetic\nanalysis which results in order parameter equations for the dynamics of\nconnection weights between two spherical cell sheets. We show that these\nequations of evolution provide stable stationary solutions which correspond to\nretinotopic modes. A further analysis of higher modes furnishes proof that our\nmodel describes the emergence of a perfect one-to-one retinotopy between two\nspheres.",
    "arxiv_id": "physics/0609109",
    "authors": [
      "M. Guessmann",
      "G. Wunner",
      "A. Pelster"
    ],
    "categories": [
      "physics.bio-ph"
    ],
    "title": "Self-Organized Formation of Retinotopic Projections Between Manifolds of   Different Geometries -- Part 3: Spherical Geometries",
    "url": "https://arxiv.org/abs/physics/0609109"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e616af88-0279-4822-941b-1915e31fc266",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}