{
  "annotation_id": "475ecc57-6768-422e-9a21-bcfda8f59195",
  "date_created": "2026-03-02T18:00:49.583000Z",
  "date_modified": "2026-03-02T18:00:49.583000Z",
  "file_hash": "eaf91e15763563200a97afd5dcb7ad178f0ee6b820dfb957c2a87a9bfa41a8c3",
  "private": false,
  "record": {
    "abstract": "Vesicles under a shear flow exhibit a tank-treading motion of their membrane,\nwhile their long axis points with an angle \u003c 45 degrees with respect to the\nshear stress if the viscosity contrast between the interior and the exterior is\nnot large enough. Above a certain viscosity contrast, the vesicle undergoes a\ntumbling bifurcation, a bifurcation which is known for red blood cells. We have\nrecently presented the full numerical analysis of this transition. In this\npaper, we introduce an analytical model that has the advantage of being both\nsimple enough and capturing the essential features found numerically. The model\nis based on general considerations and does not resort to the explicit\ncomputation of the full hydrodynamic field inside and outside the vesicle.",
    "arxiv_id": "physics/0401159",
    "authors": [
      "F. Rioual",
      "T. Biben",
      "C. Misbah"
    ],
    "categories": [
      "physics.bio-ph"
    ],
    "doi": "10.1103/PhysRevE.69.061914",
    "title": "An analytical analysis of vesicle tumbling under a shear flow",
    "url": "https://arxiv.org/abs/physics/0401159"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea03d075-ed40-493b-a3d4-3871fca058ad",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}