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PreprintCC BY-NC-ND 4.0arXiv

Pulsatile Endocrine Regulation with a Releasable Hormone Pool: Impulsive Feedback Model

  • Anton V. Proskurnikov
  • Alexander Medvedev
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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.

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Cite

BibTeXRIS
BibTeX
@misc{proskurnikov2026pulsatile,
  title = {{Pulsatile Endocrine Regulation with a Releasable Hormone Pool: Impulsive Feedback Model}},
  author = {Anton V. Proskurnikov and Alexander Medvedev},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.13277},
  eprint = {2611.13277},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.13277},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Pulsatile Endocrine Regulation with a Releasable Hormone Pool: Impulsive Feedback Model
AU  - Anton V. Proskurnikov
AU  - Alexander Medvedev
PY  - 2026
DA  - 2026/11/09
PB  - arXiv
DO  - 10.48550/arxiv.2611.13277
UR  - https://arxiv.org/abs/2611.13277
AB  - 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.
ER  -