STABILITY OF A GENERAL DELAY DIFFERENTIAL MODEL OF THE HYPOTHALAMO-PITUITARY-ADRENOCORTICAL SYSTEM-Reference-Cited by-同舟云学术

STABILITY OF A GENERAL DELAY DIFFERENTIAL MODEL OF THE HYPOTHALAMO-PITUITARY-ADRENOCORTICAL SYSTEM

Published:2006-10 Issue:10 Volume:16 Page:3079-3085
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

SAVIĆ DANKA¹,JELIĆ SMILJANA¹,BURIĆ NIKOLA²

Affiliation:

1. Vinča Institute of Nuclear Sciences, Laboratory for Theoretical and Condensed Matter Physics, Belgrade, Serbia and Montenegro

2. Faculty of Pharmacy, University of Beograd, Department of Mathematics and Physics, Belgrade, Serbia and Montenegro

Abstract

Most of the systems in an organism (human included) function in a regular daily rhythm. Hypothalamo-pituitary-adrenocortical (HPA) axis, although mostly known for its role in stress response, probably has a role in conveying rhythmic signals from the major pacemaker, suprachiazmatic nucleus (SCN), to the periphery. A general qualitative nonphenomenological mathematical model of the HPA axis is constructed and its dynamics is examined using linear stability analysis and Roushe's theorem. The results show that this system is asymptotically stable, i.e. it does not generate circadian oscillations, but only responds to the external pacemaker.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127406016665

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