{
  "annotation_id": "7ace837a-df8e-4292-aca8-300832fc2ec3",
  "date_created": "2026-03-02T18:01:03.607000Z",
  "date_modified": "2026-03-02T18:01:03.607000Z",
  "file_hash": "0eb7a3c6d4499f1c774408f99642e8ff2adaeb649b39763540b89e2596b390e1",
  "private": false,
  "record": {
    "abstract": "We calculate the hydrodynamic flow field generated far from a cilium which is\nattached to a surface and beats periodically. In the case of two beating cilia,\nhydrodynamic interactions can lead to synchronization of the cilia, which are\nnonlinear oscillators. We present a state diagram where synchronized states\noccur as a function of distance of cilia and the relative orientation of their\nbeat. Synchronized states occur with different relative phases. In addition,\nasynchronous solutions exist. Our work could be relevant for the synchronized\nmotion of cilia generating hydrodynamic flows on the surface of cells.",
    "arxiv_id": "physics/0512046",
    "authors": [
      "Andrej Vilfan",
      "Frank Julicher"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio.CB"
    ],
    "doi": "10.1103/PhysRevLett.96.058102",
    "journal_ref": "Phys. Rev. Lett. 96, 058102 (2006)",
    "title": "Hydrodynamic flow patterns and synchronization of beating cilia",
    "url": "https://arxiv.org/abs/physics/0512046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "da04fd07-aeb0-4188-bfa2-e878c0684942",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}