{
  "annotation_id": "51289d1e-d9ed-4580-a8a8-6e46a4919226",
  "date_created": "2026-03-02T18:01:34.860000Z",
  "date_modified": "2026-03-02T18:01:34.860000Z",
  "file_hash": "1e46390c14bf574fda21e95cf162637f16422a4efa495df8cc14bd906bf30e2a",
  "private": false,
  "record": {
    "abstract": "We propose a mathematical model allowing for the alternating pulse and surge\npattern of GnRH (Gonadotropin Releasing Hormone) secretion. The model is based\non the coupling between two systems running on different time scales. The\nfaster system corresponds to the average activity of GnRH neurons, while the\nslower one corresponds to the average activity of regulatory neurons. The\nanalysis of the slow/fast dynamics exhibited within and between both systems\nallows to explain the different patterns (slow oscillations, fast oscillations\nand periodical surge) of GnRH secretion. Specifications on the model parameter\nvalues are derived from physiological knowledge in terms of amplitude,\nfrequency and plateau length of oscillations. The behavior of the model is\nfinally illustrated by numerical simulations reproducing natural ovarian cycles\nand either direct or indirect actions of ovarian steroids on GnRH secretion.",
    "arxiv_id": "q-bio/0511023",
    "authors": [
      "Frederique Clement",
      "Jean-Pierre Francoise"
    ],
    "categories": [
      "q-bio.TO",
      "math.DS"
    ],
    "journal_ref": "SIAM Journal on Applied Dynamical Systems, Vol. 6 (2007), No. 2,\n  pp 441-456",
    "title": "Mathematical modeling of the GnRH pulse and surge generator",
    "url": "https://arxiv.org/abs/q-bio/0511023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2ccd84a2-cf31-445e-bf24-aba980dec17d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}