{
  "annotation_id": "a4d35023-8f1d-4087-a665-81f0cb3ccf46",
  "date_created": "2026-03-02T18:00:42.214000Z",
  "date_modified": "2026-03-02T18:00:42.214000Z",
  "file_hash": "78def002584b917c7276f19935d8724a9a18086f7bee7a2ba28f1fba1eac223c",
  "private": false,
  "record": {
    "abstract": "In linear elastic theory, membrane deformation energy caused by inclusions\n(e.g., membrane-spanning peptides in lipid bilayers) can be rigorously\npresented in terms of coupled harmonic oscillators. The general expressions for\nthe corresponding \"effective spring constants\" are derived here for quite\ngeneral boundary conditions allowing, e.g., for the azimuthal variation of the\ncontact slope. The case of two insertions is considered in more details.",
    "arxiv_id": "physics/0212038",
    "authors": [
      "Yury S. Neustadt",
      "Michael B. Partenskii"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio.BM"
    ],
    "title": "Effective spring constants for the elastically coupled insertions in   membranes",
    "url": "https://arxiv.org/abs/physics/0212038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b8a8e558-0b2d-412f-a15b-13162f01c6fc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}