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 Roushes 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.
Keywords:
hypothalamo-pituitary-adrenocortical (HPA) axis / circadian rhythm / DDE / stability analysis / Roushes theoremSource:
International Journal of Bifurcation and Chaos, 2006, 16, 10, 3079-3085
DOI: 10.1142/S0218127406016665
ISSN: 0218-1274
WoS: 000243320500021
Scopus: 2-s2.0-33845547295
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VinčaTY - JOUR AU - Savić, Danka A. AU - Jelić, Smiljana AU - Buric, Nikola PY - 2006 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3139 AB - 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 Roushes 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. T2 - International Journal of Bifurcation and Chaos T1 - Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system VL - 16 IS - 10 SP - 3079 EP - 3085 DO - 10.1142/S0218127406016665 ER -
@article{ author = "Savić, Danka A. and Jelić, Smiljana and Buric, Nikola", year = "2006", 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 Roushes 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.", journal = "International Journal of Bifurcation and Chaos", title = "Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system", volume = "16", number = "10", pages = "3079-3085", doi = "10.1142/S0218127406016665" }
Savić, D. A., Jelić, S.,& Buric, N.. (2006). Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system. in International Journal of Bifurcation and Chaos, 16(10), 3079-3085. https://doi.org/10.1142/S0218127406016665
Savić DA, Jelić S, Buric N. Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system. in International Journal of Bifurcation and Chaos. 2006;16(10):3079-3085. doi:10.1142/S0218127406016665 .
Savić, Danka A., Jelić, Smiljana, Buric, Nikola, "Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system" in International Journal of Bifurcation and Chaos, 16, no. 10 (2006):3079-3085, https://doi.org/10.1142/S0218127406016665 . .