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Title: A delay-differential equation model of the feedback-controlled hypothalamus-pituitary-adrenal axis in humans
Authors: Yongwimon Lenbury
Pornsarp Pornsawad
Mahidol University
Keywords: Biochemistry, Genetics and Molecular Biology;Environmental Science;Immunology and Microbiology;Mathematics;Medicine;Neuroscience;Pharmacology, Toxicology and Pharmaceutics
Issue Date: 1-Mar-2005
Citation: Mathematical Medicine and Biology. Vol.22, No.1 (2005), 15-33
Abstract: 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. © The Author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All Rights Reserved.
ISSN: 14778599
Appears in Collections:Scopus 2001-2005

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