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
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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DOI：
10.1093/imammb/dqn003
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发表时间：
2008-03-01
影响因子：
1.1
通讯作者：
Chattopadhyay, J.
中科院分区：
文献类型：
--
作者：
Bairagi, N.;Chatterjee, Samrat;Chattopadhyay, J.
在这篇文章中，我们开发了一个简单的数学模型，它捕捉到了下丘脑-垂体-肾上腺(HPA)轴自我调节活动的重要机制。为此，提出并分析了一个三分量非线性延迟微分方程组，以观察正常人HPA轴激素分泌的超常和昼夜变化。我们的分析表明，反馈机制足以显示激素分泌模式的极端变异性，但不能显示昼夜变异性。中枢神经系统驱动的脉冲发生器与初级反馈机制相结合，可以显示HPA轴激素分泌的超常和昼夜变化。该模型还可以预测正常HPA轴在生理变化后的不同动力学(即。肾上腺切除和垂体切除)和病理改变(即。注入不同的激素)。
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).