{
  "annotation_id": "a26b7bb9-16a2-4bee-8bff-36f007d5166e",
  "date_created": "2026-03-02T18:01:35.774000Z",
  "date_modified": "2026-03-02T18:01:35.774000Z",
  "file_hash": "5d03df518a9123eaefd4312385faa822b7b2b275a23b2aa303601033c0d33ba1",
  "private": false,
  "record": {
    "abstract": "During each ovarian cycle, only a definite number of follicles ovulate, while\nthe others undergo a degeneration process called atresia. We have designed a\nmulti-scale mathematical model where ovulation and atresia result from a\nhormonal controlled selection process. A 2D-conservation law describes the age\nand maturity structuration of the follicular cell population. In this paper, we\nfocus on the operating mode of the control, through the study of the\ncharacteristics of the conservation law. We describe in particular the set of\nmicroscopic initial conditions leading to the macroscopic phenomenon of either\novulation or atresia, in the framework of backwards reachable sets theory.",
    "arxiv_id": "q-bio/0607030",
    "authors": [
      "Nki Echenim",
      "Frederique Clement",
      "Michel Sorine"
    ],
    "categories": [
      "q-bio.TO",
      "math.AP",
      "q-bio.QM"
    ],
    "doi": "10.1137/060664495",
    "journal_ref": "Multiscale Modeling \u0026 Simulation 6, 3 (2007) 895--912",
    "title": "Multi-scale modeling of follicular ovulation as a reachability problem",
    "url": "https://arxiv.org/abs/q-bio/0607030"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b0e812f2-ad47-4f8a-ab49-e0f41ba3390b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}