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Math Med Biol. 2005 Mar;22(1):15-33.

A delay-differential equation model of the feedback-controlled hypothalamus-pituitary-adrenal axis in humans.

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  • 1Department of Mathematics, Faculty of Science, Mahidol University, Rama 6 Rd., Bangkok 10400, Thailand.


The present work develops and analyses a model system of delay-differential equations which describes the core dynamics of the stress-responsive hypothalamus-pituitary-adrenal axis. This neuroendocrine ensemble exhibits prominent pulsatile secretory patterns governed by nonlinear and time-delayed feedforward and feedback signal interchanges. Formulation and subsequent bifurcation analysis of the model provide a qualitative and mathematical frame work for a better understanding of the delayed responsive mechanisms as well as the dynamic variations in different pathological situations.

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