A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man

DOI10.1016/J.NA.2009.01.031zbMath1238.93065OpenAlexW2588325593WikidataQ115343137 ScholiaQ115343137MaRDI QIDQ419853

David Greenhalgh, Qamar Jalil Ahmed Khan

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/14027/

zbMATH Keywords

time delaylimit cyclesHopf bifurcationdifferential equationstestosteroneequilibrium and stability analysishuman hormonal systemsluteinizing hormoneluteinizing hormone release hormone

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Application models in control theory (93C95) Medical applications (general) (92C50)

Related Items (6)

Design of interval observers for uncertain dynamical systems ⋮ Local and global analysis of endocrine regulation as a non-cyclic feedback system ⋮ Systems of delay differential equations: analysis of a model with feedback ⋮ An integrate-and-fire model for pulsatility in the neuroendocrine system ⋮ Impulsive model of endocrine regulation with a local continuous feedback ⋮ Interval estimation for uncertain systems with time-varying delays

Cites Work

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• Hypothalamic regulation of pituitary secretion of luteinizing hormone - II. Feedback control of gonadotropin secretion
• Mathematical physiology
• A Stochastic Biomathematical Model of the Male Reproductive Hormone System

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