TY  - JOUR
AU  - Stanojevic, A.
AU  - Markovic, V. M.
AU  - Čupić, Željko
AU  - Vukojevic, V.
AU  - Kolar-Anić, Ljiljana
PY  - 2017
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/2254
AB  - A model was developed that can be used to study the effect of gradual cholesterol intake by food on the HPA axis dynamics. Namely, well defined oscillatory dynamics of vital neuroendocrine hypothalamic-pituitary-adrenal (HPA) axis has proven to be necessary for maintaining regular basal physiology and formulating appropriate stress response to various types of perturbations. Cholesterol, as a precursor of all steroid HPA axis hormones, can alter the dynamics of HPA axis. To analyse its particular influence on the HPA axis dynamics we used stoichiometric model of HPA axis activity, and simulate cholesterol perturbations in the form of finite duration pulses, with asymmetrically distributed concentration profile. Our numerical simulations showed that there is a complex, nonlinear dependence between the HPA axis responsiveness and different forms of applied cholesterol concentration pulses, indicating the significance of kinetic modelling, and dynamical systems theory for the understanding of large-scale self-regulatory, and homeostatic processes within this neuroendocrine system.
PB  - Maik Nauka/Interperiodica/Springer, New York
T2  - Russian Journal of Physical Chemistry A
T1  - Modelling of the Hypothalamic-Pituitary-Adrenal Axis Perturbations by Externally Induced Cholesterol Pulses of Finite Duration and with Asymmetrically Distributed Concentration Profile
VL  - 91
IS  - 13
SP  - 2600
EP  - 2607
DO  - 10.1134/S0036024417130027
ER  - 

@article{
author = "Stanojevic, A. and Markovic, V. M. and Čupić, Željko and Vukojevic, V. and Kolar-Anić, Ljiljana",
year = "2017",
abstract = "A model was developed that can be used to study the effect of gradual cholesterol intake by food on the HPA axis dynamics. Namely, well defined oscillatory dynamics of vital neuroendocrine hypothalamic-pituitary-adrenal (HPA) axis has proven to be necessary for maintaining regular basal physiology and formulating appropriate stress response to various types of perturbations. Cholesterol, as a precursor of all steroid HPA axis hormones, can alter the dynamics of HPA axis. To analyse its particular influence on the HPA axis dynamics we used stoichiometric model of HPA axis activity, and simulate cholesterol perturbations in the form of finite duration pulses, with asymmetrically distributed concentration profile. Our numerical simulations showed that there is a complex, nonlinear dependence between the HPA axis responsiveness and different forms of applied cholesterol concentration pulses, indicating the significance of kinetic modelling, and dynamical systems theory for the understanding of large-scale self-regulatory, and homeostatic processes within this neuroendocrine system.",
publisher = "Maik Nauka/Interperiodica/Springer, New York",
journal = "Russian Journal of Physical Chemistry A",
title = "Modelling of the Hypothalamic-Pituitary-Adrenal Axis Perturbations by Externally Induced Cholesterol Pulses of Finite Duration and with Asymmetrically Distributed Concentration Profile",
volume = "91",
number = "13",
pages = "2600-2607",
doi = "10.1134/S0036024417130027"
}

Stanojevic, A., Markovic, V. M., Čupić, Ž., Vukojevic, V.,& Kolar-Anić, L.. (2017). Modelling of the Hypothalamic-Pituitary-Adrenal Axis Perturbations by Externally Induced Cholesterol Pulses of Finite Duration and with Asymmetrically Distributed Concentration Profile. in Russian Journal of Physical Chemistry A
Maik Nauka/Interperiodica/Springer, New York., 91(13), 2600-2607.
https://doi.org/10.1134/S0036024417130027

Stanojevic A, Markovic VM, Čupić Ž, Vukojevic V, Kolar-Anić L. Modelling of the Hypothalamic-Pituitary-Adrenal Axis Perturbations by Externally Induced Cholesterol Pulses of Finite Duration and with Asymmetrically Distributed Concentration Profile. in Russian Journal of Physical Chemistry A. 2017;91(13):2600-2607.
doi:10.1134/S0036024417130027 .

Stanojevic, A., Markovic, V. M., Čupić, Željko, Vukojevic, V., Kolar-Anić, Ljiljana, "Modelling of the Hypothalamic-Pituitary-Adrenal Axis Perturbations by Externally Induced Cholesterol Pulses of Finite Duration and with Asymmetrically Distributed Concentration Profile" in Russian Journal of Physical Chemistry A, 91, no. 13 (2017):2600-2607,
https://doi.org/10.1134/S0036024417130027 . .

TY  - JOUR
AU  - Ivanović-Šašić, Ana
AU  - Markovic, V. M.
AU  - Anić, Slobodan
AU  - Kolar-Anić, Ljiljana
AU  - Čupić, Željko
PY  - 2011
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/841
AB  - By numerically simulating the Bray-Liebhafsky (BL) reaction (the hydrogen peroxide decomposition in the presence of hydrogen and iodate ions) in a continuously fed well stirred tank reactor (CSTR), we find "structured" types of chaos emerging in regular order with respect to flow rate as the control parameter. These chaotic "structures" appear between each two successive periodic states, and have forms and evolution resembling to the neighboring periodic dynamics. More precisely, in the transition from period-doubling route to chaos to the arising periodic mixture of different mixed-mode oscillations, we are able to recognize and qualitatively and quantitatively distinguish the sequence of "period-doubling" chaos and chaos consisted of mixed-mode oscillations (the "mixed-mode structured" chaos), both appearing in regular order between succeeding periodic states. Additionally, between these types of chaos, the chaos without such recognizable "structures" ("unstructured" chaos) is also distinguished. Furthermore, all transitions between two successive periodic states are realized through bifurcation of chaotic states. This scenario is a universal feature throughout the whole mixed-mode region, as well as throughout other mixed-mode regions obtained under different initial conditions.
PB  - Royal Soc Chemistry, Cambridge
T2  - Physical Chemistry Chemical Physics
T1  - Structures of chaos in open reaction systems
VL  - 13
IS  - 45
SP  - 20162
EP  - 20171
DO  - 10.1039/c1cp22496d
ER  - 

@article{
author = "Ivanović-Šašić, Ana and Markovic, V. M. and Anić, Slobodan and Kolar-Anić, Ljiljana and Čupić, Željko",
year = "2011",
abstract = "By numerically simulating the Bray-Liebhafsky (BL) reaction (the hydrogen peroxide decomposition in the presence of hydrogen and iodate ions) in a continuously fed well stirred tank reactor (CSTR), we find "structured" types of chaos emerging in regular order with respect to flow rate as the control parameter. These chaotic "structures" appear between each two successive periodic states, and have forms and evolution resembling to the neighboring periodic dynamics. More precisely, in the transition from period-doubling route to chaos to the arising periodic mixture of different mixed-mode oscillations, we are able to recognize and qualitatively and quantitatively distinguish the sequence of "period-doubling" chaos and chaos consisted of mixed-mode oscillations (the "mixed-mode structured" chaos), both appearing in regular order between succeeding periodic states. Additionally, between these types of chaos, the chaos without such recognizable "structures" ("unstructured" chaos) is also distinguished. Furthermore, all transitions between two successive periodic states are realized through bifurcation of chaotic states. This scenario is a universal feature throughout the whole mixed-mode region, as well as throughout other mixed-mode regions obtained under different initial conditions.",
publisher = "Royal Soc Chemistry, Cambridge",
journal = "Physical Chemistry Chemical Physics",
title = "Structures of chaos in open reaction systems",
volume = "13",
number = "45",
pages = "20162-20171",
doi = "10.1039/c1cp22496d"
}

Ivanović-Šašić, A., Markovic, V. M., Anić, S., Kolar-Anić, L.,& Čupić, Ž.. (2011). Structures of chaos in open reaction systems. in Physical Chemistry Chemical Physics
Royal Soc Chemistry, Cambridge., 13(45), 20162-20171.
https://doi.org/10.1039/c1cp22496d

Ivanović-Šašić A, Markovic VM, Anić S, Kolar-Anić L, Čupić Ž. Structures of chaos in open reaction systems. in Physical Chemistry Chemical Physics. 2011;13(45):20162-20171.
doi:10.1039/c1cp22496d .

Ivanović-Šašić, Ana, Markovic, V. M., Anić, Slobodan, Kolar-Anić, Ljiljana, Čupić, Željko, "Structures of chaos in open reaction systems" in Physical Chemistry Chemical Physics, 13, no. 45 (2011):20162-20171,
https://doi.org/10.1039/c1cp22496d . .

TY  - JOUR
AU  - Markovic, V. M.
AU  - Čupić, Željko
AU  - Ivanović-Šašić, Ana
AU  - Kolar-Anić, Ljiljana
PY  - 2011
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/824
AB  - Stoichiometric network analysis (SNA) represents a powerful mathematical tool for stability analysis of complex stoichiometric networks. Recently, the important improvement of the method has been made, according to which instability relations can be entirely expressed via reaction rates, instead of thus far used, in general case undefined, current rates. Such an improved SNA methodology was applied to the determination of exact instability conditions of the extended model of the hypothalamic-pituitary-adrenal (HPA) axis, a neuroendocrinological system, whose hormone concentrations exert complex oscillatory evolution. For emergence of oscillations, the Hopf bifurcation condition was utilized. Instability relations predicted by SNA showed good correlation with numerical simulation data of the HPA axis model.
PB  - Maik Nauka/Interperiodica/Springer, New York
T2  - Russian Journal of Physical Chemistry A
T1  - The stability of the extended model of hypothalamic-pituitary-adrenal axis examined by stoichiometric network analysis
VL  - 85
IS  - 13
SP  - 2327
EP  - 2335
DO  - 10.1134/S0036024411130115
ER  - 

@article{
author = "Markovic, V. M. and Čupić, Željko and Ivanović-Šašić, Ana and Kolar-Anić, Ljiljana",
year = "2011",
abstract = "Stoichiometric network analysis (SNA) represents a powerful mathematical tool for stability analysis of complex stoichiometric networks. Recently, the important improvement of the method has been made, according to which instability relations can be entirely expressed via reaction rates, instead of thus far used, in general case undefined, current rates. Such an improved SNA methodology was applied to the determination of exact instability conditions of the extended model of the hypothalamic-pituitary-adrenal (HPA) axis, a neuroendocrinological system, whose hormone concentrations exert complex oscillatory evolution. For emergence of oscillations, the Hopf bifurcation condition was utilized. Instability relations predicted by SNA showed good correlation with numerical simulation data of the HPA axis model.",
publisher = "Maik Nauka/Interperiodica/Springer, New York",
journal = "Russian Journal of Physical Chemistry A",
title = "The stability of the extended model of hypothalamic-pituitary-adrenal axis examined by stoichiometric network analysis",
volume = "85",
number = "13",
pages = "2327-2335",
doi = "10.1134/S0036024411130115"
}

Markovic, V. M., Čupić, Ž., Ivanović-Šašić, A.,& Kolar-Anić, L.. (2011). The stability of the extended model of hypothalamic-pituitary-adrenal axis examined by stoichiometric network analysis. in Russian Journal of Physical Chemistry A
Maik Nauka/Interperiodica/Springer, New York., 85(13), 2327-2335.
https://doi.org/10.1134/S0036024411130115

Markovic VM, Čupić Ž, Ivanović-Šašić A, Kolar-Anić L. The stability of the extended model of hypothalamic-pituitary-adrenal axis examined by stoichiometric network analysis. in Russian Journal of Physical Chemistry A. 2011;85(13):2327-2335.
doi:10.1134/S0036024411130115 .

Markovic, V. M., Čupić, Željko, Ivanović-Šašić, Ana, Kolar-Anić, Ljiljana, "The stability of the extended model of hypothalamic-pituitary-adrenal axis examined by stoichiometric network analysis" in Russian Journal of Physical Chemistry A, 85, no. 13 (2011):2327-2335,
https://doi.org/10.1134/S0036024411130115 . .