A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis
Само за регистроване кориснике
2005
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It is commonly assumed that the hypothalamo-pituitary-adrenocorticat (HPA) axis generates oscillations, because a regular daily rhythm of its component hormones is observed. We offer another plausible explanation of the origin of its circadian oscillations: HPA just responds to an independent external pacemaker (from the suprachiazmatic nucleus, SCN). Five versions (with and without time delay) of a qualitative non-phenomenological mathematical model of the HPA axis as a feedback mechanism are constructed wherein all the terms in the equations are introduced according to the rules of chemical kinetics, i.e. are physicochemically interpretable. The dynamics of the HPA axis model was examined using linear stability analysis. The results show stability of this system, meaning that it does not generate diurnal oscillations. Computer simulation based on this model shows oscillations that are systems response to an external pulsing activator (SCN) implying that the observed time-periodic pat...tern does not have to be an intrinsic property of the HPA axis. (c) 2005 Elsevier Ltd. All rights reserved.
Извор:
Chaos, Solitons and Fractals, 2005, 26, 2, 427-436
DOI: 10.1016/j.chaos.2005.01.013
ISSN: 0960-0779
WoS: 000229654200017
Scopus: 2-s2.0-18544374277
Институција/група
VinčaTY - JOUR AU - Savić, Danka A. AU - Jelić, Smiljana PY - 2005 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2898 AB - It is commonly assumed that the hypothalamo-pituitary-adrenocorticat (HPA) axis generates oscillations, because a regular daily rhythm of its component hormones is observed. We offer another plausible explanation of the origin of its circadian oscillations: HPA just responds to an independent external pacemaker (from the suprachiazmatic nucleus, SCN). Five versions (with and without time delay) of a qualitative non-phenomenological mathematical model of the HPA axis as a feedback mechanism are constructed wherein all the terms in the equations are introduced according to the rules of chemical kinetics, i.e. are physicochemically interpretable. The dynamics of the HPA axis model was examined using linear stability analysis. The results show stability of this system, meaning that it does not generate diurnal oscillations. Computer simulation based on this model shows oscillations that are systems response to an external pulsing activator (SCN) implying that the observed time-periodic pattern does not have to be an intrinsic property of the HPA axis. (c) 2005 Elsevier Ltd. All rights reserved. T2 - Chaos, Solitons and Fractals T1 - A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis VL - 26 IS - 2 SP - 427 EP - 436 DO - 10.1016/j.chaos.2005.01.013 ER -
@article{ author = "Savić, Danka A. and Jelić, Smiljana", year = "2005", abstract = "It is commonly assumed that the hypothalamo-pituitary-adrenocorticat (HPA) axis generates oscillations, because a regular daily rhythm of its component hormones is observed. We offer another plausible explanation of the origin of its circadian oscillations: HPA just responds to an independent external pacemaker (from the suprachiazmatic nucleus, SCN). Five versions (with and without time delay) of a qualitative non-phenomenological mathematical model of the HPA axis as a feedback mechanism are constructed wherein all the terms in the equations are introduced according to the rules of chemical kinetics, i.e. are physicochemically interpretable. The dynamics of the HPA axis model was examined using linear stability analysis. The results show stability of this system, meaning that it does not generate diurnal oscillations. Computer simulation based on this model shows oscillations that are systems response to an external pulsing activator (SCN) implying that the observed time-periodic pattern does not have to be an intrinsic property of the HPA axis. (c) 2005 Elsevier Ltd. All rights reserved.", journal = "Chaos, Solitons and Fractals", title = "A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis", volume = "26", number = "2", pages = "427-436", doi = "10.1016/j.chaos.2005.01.013" }
Savić, D. A.,& Jelić, S.. (2005). A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis. in Chaos, Solitons and Fractals, 26(2), 427-436. https://doi.org/10.1016/j.chaos.2005.01.013
Savić DA, Jelić S. A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis. in Chaos, Solitons and Fractals. 2005;26(2):427-436. doi:10.1016/j.chaos.2005.01.013 .
Savić, Danka A., Jelić, Smiljana, "A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis" in Chaos, Solitons and Fractals, 26, no. 2 (2005):427-436, https://doi.org/10.1016/j.chaos.2005.01.013 . .