{
  "annotation_id": "95534b53-d874-4b10-9e85-6d7f041aebbf",
  "date_created": "2026-03-02T18:01:32.177000Z",
  "date_modified": "2026-03-02T18:01:32.177000Z",
  "file_hash": "b7607a1c913abf2179944cbd11ee0da0adb888b79009462a3148ec5b5f1194cf",
  "private": false,
  "record": {
    "abstract": "We develop a formalism that describes the bending and twisting of\naxoneme-like filament bundles. We obtain general formulas to determine the\nrelative sliding between any arbitrary filaments in a bundle subjected to\nunconstrained deformations. Particular examples for bending, twisting, helical\nand toroidal shapes, and combinations of these are discussed. Resulting\nequations for sliding and transversal shifting, expressed in terms of the\ncurvature and torsion of the bundle, are applied to flagellar bend data. We\nprove that simultaneous combination of twisting and bending can produce a\ndrastically drop in the sliding, by decreasing bending rigidity.",
    "arxiv_id": "q-bio/0411026",
    "authors": [
      "A. Ludu",
      "N. Hutchings"
    ],
    "categories": [
      "q-bio.CB",
      "math-ph",
      "math.MP",
      "nlin.PS",
      "physics.bio-ph",
      "q-bio.QM"
    ],
    "title": "Geometry of Axoneme-like Filament Bundles",
    "url": "https://arxiv.org/abs/q-bio/0411026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5f39a172-1eb1-44b1-b04c-fff7cb278013",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}