Title
Stability Of A General Delay Differential Model Of The Hypothalamo-Pituitary-Adrenocortical System
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.
Year
DOI
Venue
2006
10.1142/S0218127406016665
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
hypothalamo-pituitary-adrenocortical (HPA) axis, circadian rhythm, DDE, stability analysis, Roushe's theorem
Journal
16
Issue
ISSN
Citations 
10
0218-1274
2
PageRank 
References 
Authors
0.49
0
3
Name
Order
Citations
PageRank
Danka Savic120.49
Smiljana Jelic220.49
Nikola Buric332.08