Journal Article

Variability in the secretion of corticotropin-releasing hormone, adrenocorticotropic hormone and cortisol and understandability of the hypothalamic-pituitary-adrenal axis dynamics—a mathematical study based on clinical evidence

N. Bairagi, Samrat Chatterjee and J. Chattopadhyay

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 25, issue 1, pages 37-63
Published in print March 2008 | ISSN: 1477-8599
Published online March 2008 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/dqn003
Variability in the secretion of corticotropin-releasing hormone, adrenocorticotropic hormone and cortisol and understandability of the hypothalamic-pituitary-adrenal axis dynamics—a mathematical study based on clinical evidence

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In this article, we have developed a simple mathematical model that captures the vital mechanisms of the hypothalamic-pituitary-adrenal (HPA) axis self-regulatory activities. For this, a system of three-component non-linear delay differential equations has been proposed and analysed to observe the ultradian and circadian variabilities of the hormone secretion of the HPA axis in normal subjects. Our analysis reveals that a feedback mechanism is sufficient to show the ultradian variability of the hormone secretion pattern but fails to show the circadian variability. A central nervous system-driven pulse generator coupled with the primary feedback mechanism can exhibit the ultradian as well as circadian variability in the hormone secretion of the HPA axis. The model can also predict different dynamics of the normal HPA axis following physiological changes (viz. adrenalectomy and hypophysectomy) and pathological changes (viz. infusion of different hormones).

Keywords: hypothalamic-pituitary-adrenal axis; corticotropin-releasing hormone; adrenocorticotropic hormone; cortisol; ultradian and circadian variability; delay; local stability

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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