{
  "abstract": "An impulsive model of endocrine regulation equipped with frequency- and amplitude-modulated pulsatile feedback is extended to study the dynamical effects pertaining to limitations due to the releasable hormone pool. The model describes a three-hormone regulatory loop and is applicable to endocrine systems such as the reproductive, stress, and growth hormone axes. Conditions guaranteeing the existence and uniqueness of a periodic solution with a single feedback-triggered impulse per period (a 1-cycle) are derived, together with monotonicity properties of its characteristics. An explicit Jacobian formula is obtained to assess local orbital stability. Model analysis demonstrates that a reduced hormone-pool replenishment rate produces a lower-amplitude, higher-frequency 1-cycle. This behavior is consistent with experimentally observed alterations in testosterone regulation in aging human males.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.13277",
  "author_total": 2,
  "authors": [
    {
      "name": "Anton V. Proskurnikov"
    },
    {
      "name": "Alexander Medvedev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/263jktya2bnyj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.13277",
  "fulltext_url": null,
  "id": "263jktya2bnyj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.13277",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.SY"
    ],
    [
      "arxiv",
      "eess.SY"
    ],
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "arxiv",
      "q-bio.QM"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.13277",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/263jktya2bnyj.ris",
  "sources": [
    {
      "first_seen": "2026-11-11T06:21:55Z",
      "native_id": "2611.13277",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.13277"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "arxiv:q-bio.QM",
      "subfield": "bioinformatics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Pulsatile Endocrine Regulation with a Releasable Hormone Pool: Impulsive Feedback Model",
  "title_text": "Pulsatile Endocrine Regulation with a Releasable Hormone Pool: Impulsive Feedback Model",
  "type": "preprint",
  "updated_at": "2026-11-13T06:20:14Z",
  "url": "https://research.draconitic.com/paper/263jktya2bnyj",
  "venue": "arXiv",
  "versions": []
}