Mathematical modeling has proven to be valuable in understanding of the complex biological systems dynamics. In the present report we have developed an initial model of the hypothalamic-pituitary-adrenal system self-regulatory activity. A four-dimensional non-linear differential equation model of the hormone secretion was formulated and used to analyze plasma cortisol levels in humans. The aim of this work was to explore in greater detail the role of this system in normal, homeostatic, conditions, since it is the first and unavoidable step in further understanding of the role of this complex neuroendocrine system in pathophysiological conditions. Neither the underlying mechanisms nor the physiological significance of this system are fully understood yet.
Keywords:
HPA system / Cortisol / Mathematical model / Non-linear dynamics / Stability analysis
Source:
Mathematical Biosciences, 2005, 197, 2, 173-187
Publisher:
Elsevier
Funding / projects:
Present report was partially supported by the Ministry of Sciences and Environmental Protection of Serbia under the project no. 1225, 1448, 1807.
TY - JOUR
AU - Jelić, Smiljana
AU - Čupić, Željko
AU - Kolar-Anić, Ljiljana
PY - 2005
UR - https://cer.ihtm.bg.ac.rs/handle/123456789/4116
AB - Mathematical modeling has proven to be valuable in understanding of the complex biological systems dynamics. In the present report we have developed an initial model of the hypothalamic-pituitary-adrenal system self-regulatory activity. A four-dimensional non-linear differential equation model of the hormone secretion was formulated and used to analyze plasma cortisol levels in humans. The aim of this work was to explore in greater detail the role of this system in normal, homeostatic, conditions, since it is the first and unavoidable step in further understanding of the role of this complex neuroendocrine system in pathophysiological conditions. Neither the underlying mechanisms nor the physiological significance of this system are fully understood yet.
PB - Elsevier
T2 - Mathematical Biosciences
T1 - Mathematical modeling of the hypothalamic–pituitary–adrenal system activity
VL - 197
IS - 2
SP - 173
EP - 187
DO - 10.1016/j.mbs.2005.06.006
ER -
@article{
author = "Jelić, Smiljana and Čupić, Željko and Kolar-Anić, Ljiljana",
year = "2005",
abstract = "Mathematical modeling has proven to be valuable in understanding of the complex biological systems dynamics. In the present report we have developed an initial model of the hypothalamic-pituitary-adrenal system self-regulatory activity. A four-dimensional non-linear differential equation model of the hormone secretion was formulated and used to analyze plasma cortisol levels in humans. The aim of this work was to explore in greater detail the role of this system in normal, homeostatic, conditions, since it is the first and unavoidable step in further understanding of the role of this complex neuroendocrine system in pathophysiological conditions. Neither the underlying mechanisms nor the physiological significance of this system are fully understood yet.",
publisher = "Elsevier",
journal = "Mathematical Biosciences",
title = "Mathematical modeling of the hypothalamic–pituitary–adrenal system activity",
volume = "197",
number = "2",
pages = "173-187",
doi = "10.1016/j.mbs.2005.06.006"
}
Jelić, S., Čupić, Ž.,& Kolar-Anić, L.. (2005). Mathematical modeling of the hypothalamic–pituitary–adrenal system activity. in Mathematical Biosciences
Elsevier., 197(2), 173-187.
https://doi.org/10.1016/j.mbs.2005.06.006
Jelić S, Čupić Ž, Kolar-Anić L. Mathematical modeling of the hypothalamic–pituitary–adrenal system activity. in Mathematical Biosciences. 2005;197(2):173-187.
doi:10.1016/j.mbs.2005.06.006 .
Jelić, Smiljana, Čupić, Željko, Kolar-Anić, Ljiljana, "Mathematical modeling of the hypothalamic–pituitary–adrenal system activity" in Mathematical Biosciences, 197, no. 2 (2005):173-187,
https://doi.org/10.1016/j.mbs.2005.06.006 . .
, 
