{
  "annotation_id": "a337fac5-c000-4b20-bb5f-aa57f341d505",
  "date_created": "2026-03-02T18:00:43.466000Z",
  "date_modified": "2026-03-02T18:00:43.466000Z",
  "file_hash": "c99cc813161d8304f382ab20b310e3ce309c3745f9aee1d9a565113b222ff4e3",
  "private": false,
  "record": {
    "abstract": "We employ a model system, called rowers, as a generic physical framework to\ndefine the problem of the coordinated motion of cilia (the metachronal wave) as\na far from equilibrium process. Rowers are active (two-state) oscillators\ninteracting solely through forces of hydrodynamic origin. In this work, we\nconsider the case of fully deterministic dynamics, find analytical solutions of\nthe equation of motion in the long wavelength (continuum) limit, and\ninvestigate numerically the short wavelength limit. We prove the existence of\nmetachronal waves below a characteristic wavelength. Such waves are unstable\nand become stable only if the sign of the coupling is reversed. We also find\nthat with normal hydrodynamic interaction the metachronal pattern has the form\nof stable trains of traveling wave packets sustained by the onset of\nanti-coordinated beating of consecutive rowers.",
    "arxiv_id": "physics/0301061",
    "authors": [
      "M. Cosentino Lagomarsino",
      "P. Jona",
      "B. Bassetti"
    ],
    "categories": [
      "physics.bio-ph",
      "cond-mat"
    ],
    "doi": "10.1103/PhysRevE.68.021908",
    "title": "Metachronal wave and hydrodynamic interaction for deterministic   switching rowers",
    "url": "https://arxiv.org/abs/physics/0301061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fa3c07d0-23f6-43ca-aeff-36f4b9c8bcb5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}