{
  "annotation_id": "2e7a23db-b3b7-4131-9675-3ec175edaf73",
  "date_created": "2026-03-02T18:00:29.382000Z",
  "date_modified": "2026-03-02T18:00:29.382000Z",
  "file_hash": "da85c7f626bd749516b89222040a1c05d400cfea3690102853af3413a86c3b53",
  "private": false,
  "record": {
    "abstract": "We present a model for unicellular algal growth as motivated by several\nexperiments implicating the importance of calcium ions and ``loosening\u0027\u0027\nenzymes in morphogenesis. A growing cell at rest in a diffusive calcium\nsolution is viewed as an elastic shell on short timescales. For a given turgor\npressure, we calculate the stressed shapes of the wall elements whose elastic\nproperties are determined by Young\u0027s modulus and the thickness of the wall. The\nlocal enzyme concentration then determines the rate at which the unstressed\nshape of a wall element relaxes toward its stressed shape. The local wall\nthickness is calculated from the calcium-mediated addition of material and\nthinning due to elongation. We use this model to calculate growth rates for\nsmall perturbations to a circular cell. We find an instability related to\nmodulations of the wall thickness, leading to growth rates which peak at a\nfinite wave number.",
    "arxiv_id": "patt-sol/9705005",
    "authors": [
      "Royce Kam",
      "Herbert Levine"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS",
      "q-bio"
    ],
    "doi": "10.1103/PhysRevLett.79.4290",
    "title": "Unicellular algal growth: A biomechanical approach to cell wall dynamics",
    "url": "https://arxiv.org/abs/patt-sol/9705005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4eb44f7b-c465-4036-bf69-d63f2fc03b86",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}