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Hypothalamic regulation of pituitary secretion of luteinizing hormone—II feedback control of gonadotropin secretion

Bulletin of Mathematical Biology volume 42, pages 57–78 (1980)Cite this article

Abstract

A general mathematical model describing the biochemical interactions of the hormones luteinizing hormone releasing hormone (LHRH), luteinizing hormone (LH) and testosterone (T) in the male is presented. The model structure consists of a negative feedback system of three ordinary differential equations, in which the qualitative behavior is either a stable constant equilibrium solution or oscillatory solutions. A specific realization of the model is used to describe the experimental observations of pulsatile hormone release, its experimental suppression, the onset of puberty, the effects of castration, and several other qualitative and quantitative results. This model is presented as a first step in understanding the physicochemical interactions of the hypothalamic-pituitary-gonadal axis.

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Authors and Affiliations

  1. Department of Mathematics and Department of Physiology and Biophysics, Dalhousie University, B3H 4H8, Halifax, Nova Scotia, Canada

    William R. Smith

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Smith, W.R. Hypothalamic regulation of pituitary secretion of luteinizing hormone—II feedback control of gonadotropin secretion. Bltn Mathcal Biology 42, 57–78 (1980). https://doi.org/10.1007/BF02462366

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  • DOI: https://doi.org/10.1007/BF02462366

Keywords

  • Testosterone
  • Periodic Solution
  • Luteinizing Hormone
  • Luteinizing Hormone Release Hormone
  • Luteinizing Hormone Level