{
  "annotation_id": "775b60c0-e611-4aa0-af0e-928a404b4562",
  "date_created": "2026-03-02T18:00:46.166000Z",
  "date_modified": "2026-03-02T18:00:46.166000Z",
  "file_hash": "21dacf19e966f332f0296e552edd7fc6587af2578077151f0fdc70fc16180c17",
  "private": false,
  "record": {
    "abstract": "For a substance diffusing on a curved surface, we obtain an explicit relation\nvalid for very small values of the time, between the local concentration, the\ndiffusion coefficient, the intrinsic spatial curvature and the time. We recover\nthe known solution of Fick\u0027s law of diffusion in the flat space limit. In the\nbiological context, this result would be useful in understanding the variations\nin the diffusion rates of integral proteins and other molecules on membranes.",
    "arxiv_id": "physics/0308089",
    "authors": [
      "J. Balakrishnan"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio.SC"
    ],
    "doi": "10.1103/PhysRevE.61.4648",
    "journal_ref": "Phys.Rev.E61, 4648 (2000)",
    "title": "Spatial curvature effects on molecular transport by diffusion",
    "url": "https://arxiv.org/abs/physics/0308089"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cfe39064-8c9b-48f5-a918-495feab061ea",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}