{
  "annotation_id": "b8d8b21b-c255-4cd8-a0ad-d034d1e4a4f7",
  "date_created": "2026-03-02T18:01:24.768000Z",
  "date_modified": "2026-03-02T18:01:24.768000Z",
  "file_hash": "9386c39135e22d2ff589c9dc772d13e4c481de93b38ab9484bc8a0bf95c60f78",
  "private": false,
  "record": {
    "abstract": "In this article, the formation of biconcave vesicle according to the\nminimization bending energy (Helfrich\u0027s model) is studied. We present that in\norder to have biconcave shape vesicle, there are necessary conditions on the\nparameters of the energy functional and there are implications on the geometric\nquantities of the vesicle. Furthermore, we also give a clear sufficient\ncondition on the parameters to have the formation of biconcave shape vesicle.",
    "arxiv_id": "physics/9905013",
    "authors": [
      "Thomas Kwok-keung Au",
      "Tom Yau-heng Wan"
    ],
    "categories": [
      "physics.bio-ph",
      "physics.med-ph",
      "q-bio"
    ],
    "title": "Conditions for the Formation of Axisymmetric Biconcave Vesicles",
    "url": "https://arxiv.org/abs/physics/9905013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2308dc31-7490-4bc5-8921-6100c89389a1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}