Publication: A delay-differential equation model of the feedback-controlled hypothalamus-pituitary-adrenal axis in humans
Issued Date
2005-03-01
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ISSN
14778599
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2-s2.0-17144425726
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Mahidol University
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SCOPUS
Bibliographic Citation
Mathematical Medicine and Biology. Vol.22, No.1 (2005), 15-33
Suggested Citation
Yongwimon Lenbury, Pornsarp Pornsawad A delay-differential equation model of the feedback-controlled hypothalamus-pituitary-adrenal axis in humans. Mathematical Medicine and Biology. Vol.22, No.1 (2005), 15-33. doi:10.1093/imammb/dqh020 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/16369
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Title
A delay-differential equation model of the feedback-controlled hypothalamus-pituitary-adrenal axis in humans
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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.