TY  - JOUR
AU  - Jelić, S.
AU  - Čupić, Željko
AU  - Kolar-Anić, Ljiljana
AU  - Vukojević, V.
PY  - 2009
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/626
AB  - Two methods for dynamic systems analysis, Stoichiometric Network Analysis (SNA) and Quenching of Small Amplitude Oscillations (QA), are used to study the behaviour of a vital biological system. Both methods use geometric approaches for the study of complex reaction systems. In SNA, methods based on convex polytopes geometry are applied for stability analysis and optimization of reaction networks. QA relies on a geometric representation of the concentration phase space, introduces the concept of manifolds and the singular perturbation theory to study the dynamics of complex processes. The analyzed system, the Hypothalamic-Pituitary-Adrenal (HPA) axis, as a major constituent of the neuroendocrine system has a critical role in integrating biological responses in basal conditions and during stress. Self-regulation in the HPA system was modeled through a positive and negative feedback effect of Cortisol. A systematically reduced low-dimensional model of HPA activity in humans was fine-tuned by SNA, until quantitative agreement with experimental findings was achieved. By QA, we revealed an important dynamic regulatory mechanism that is a natural consequence of the intrinsic rhythmicity of the considered system.
T2  - International Journal of Nonlinear Sciences and Numerical Simulation
T1  - Predictive modeling of the hypothalamic-pituitary-adrenal (HPA) function. dynamic systems theory approach by stoichiometric network analysis and quenching small amplitude oscillations
VL  - 10
IS  - 11-12
SP  - 1451
EP  - 1472
UR  - https://hdl.handle.net/21.15107/rcub_cer_626
ER  - 

@article{
author = "Jelić, S. and Čupić, Željko and Kolar-Anić, Ljiljana and Vukojević, V.",
year = "2009",
abstract = "Two methods for dynamic systems analysis, Stoichiometric Network Analysis (SNA) and Quenching of Small Amplitude Oscillations (QA), are used to study the behaviour of a vital biological system. Both methods use geometric approaches for the study of complex reaction systems. In SNA, methods based on convex polytopes geometry are applied for stability analysis and optimization of reaction networks. QA relies on a geometric representation of the concentration phase space, introduces the concept of manifolds and the singular perturbation theory to study the dynamics of complex processes. The analyzed system, the Hypothalamic-Pituitary-Adrenal (HPA) axis, as a major constituent of the neuroendocrine system has a critical role in integrating biological responses in basal conditions and during stress. Self-regulation in the HPA system was modeled through a positive and negative feedback effect of Cortisol. A systematically reduced low-dimensional model of HPA activity in humans was fine-tuned by SNA, until quantitative agreement with experimental findings was achieved. By QA, we revealed an important dynamic regulatory mechanism that is a natural consequence of the intrinsic rhythmicity of the considered system.",
journal = "International Journal of Nonlinear Sciences and Numerical Simulation",
title = "Predictive modeling of the hypothalamic-pituitary-adrenal (HPA) function. dynamic systems theory approach by stoichiometric network analysis and quenching small amplitude oscillations",
volume = "10",
number = "11-12",
pages = "1451-1472",
url = "https://hdl.handle.net/21.15107/rcub_cer_626"
}

Jelić, S., Čupić, Ž., Kolar-Anić, L.,& Vukojević, V.. (2009). Predictive modeling of the hypothalamic-pituitary-adrenal (HPA) function. dynamic systems theory approach by stoichiometric network analysis and quenching small amplitude oscillations. in International Journal of Nonlinear Sciences and Numerical Simulation, 10(11-12), 1451-1472.
https://hdl.handle.net/21.15107/rcub_cer_626

Jelić S, Čupić Ž, Kolar-Anić L, Vukojević V. Predictive modeling of the hypothalamic-pituitary-adrenal (HPA) function. dynamic systems theory approach by stoichiometric network analysis and quenching small amplitude oscillations. in International Journal of Nonlinear Sciences and Numerical Simulation. 2009;10(11-12):1451-1472.
https://hdl.handle.net/21.15107/rcub_cer_626 .

Jelić, S., Čupić, Željko, Kolar-Anić, Ljiljana, Vukojević, V., "Predictive modeling of the hypothalamic-pituitary-adrenal (HPA) function. dynamic systems theory approach by stoichiometric network analysis and quenching small amplitude oscillations" in International Journal of Nonlinear Sciences and Numerical Simulation, 10, no. 11-12 (2009):1451-1472,
https://hdl.handle.net/21.15107/rcub_cer_626 .