TY  - JOUR
AU  - Bubanja, Itana Nuša
AU  - Macesic, Stevan R.
AU  - Ivanović-Šašić, Ana
AU  - Čupić, Željko
AU  - Anić, Slobodan
AU  - Kolar-Anić, Ljiljana
PY  - 2016
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/2037
AB  - Intermittent oscillations as a chaotic mixture of large amplitude relaxation oscillations, grouped in bursts and small-amplitude sinusoidal ones or even quiescent parts between them known as gaps, were found and examined in the Bray-Liebhafsky (BL) reaction performed in CSTR under controlled temperature variations. They were obtained in a narrow temperature range from 61.0 degrees C to 63.1 degrees C, where 61.0 degrees C is the critical temperature for burst emergence from the stable steady state and 63.1 degrees C is the critical temperature for gap emergence from regular oscillations. Since intermittencies appear gradually from the regular oscillatory state, and no hysteresis was obtained with decreasing/increasing temperature in the vicinity of these two bifurcations, a linear relationship between (tau(B)/tau)(2) and (tau(G)/tau)(2) (where tau(B), tau(G) and tau denotes duration of bursts, gaps, and whole experiment, respectively), as a function of the temperature as the control parameter, was expected and obtained. Although these intermittent oscillations are chaotic with respect to the lengths of individual gaps as well as bursts, their deterministic behavior related to temperature was additionally established. Thus, the number of bursts or gaps per unit of time (N-B/tau and N-G/tau) has the form of a normal distribution function over the temperature range in the region where intermittencies are obtained. Temperature dependence of the Lyapunov exponents was also described by a function of the normal distribution form. Hence, we established some regularities in the chaotic behavior of intermittent oscillations that are common in life but difficult for determinations.
PB  - Royal Soc Chemistry, Cambridge
T2  - Physical Chemistry Chemical Physics
T1  - Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence
VL  - 18
IS  - 14
SP  - 9770
EP  - 9778
DO  - 10.1039/c6cp00759g
ER  - 

@article{
author = "Bubanja, Itana Nuša and Macesic, Stevan R. and Ivanović-Šašić, Ana and Čupić, Željko and Anić, Slobodan and Kolar-Anić, Ljiljana",
year = "2016",
abstract = "Intermittent oscillations as a chaotic mixture of large amplitude relaxation oscillations, grouped in bursts and small-amplitude sinusoidal ones or even quiescent parts between them known as gaps, were found and examined in the Bray-Liebhafsky (BL) reaction performed in CSTR under controlled temperature variations. They were obtained in a narrow temperature range from 61.0 degrees C to 63.1 degrees C, where 61.0 degrees C is the critical temperature for burst emergence from the stable steady state and 63.1 degrees C is the critical temperature for gap emergence from regular oscillations. Since intermittencies appear gradually from the regular oscillatory state, and no hysteresis was obtained with decreasing/increasing temperature in the vicinity of these two bifurcations, a linear relationship between (tau(B)/tau)(2) and (tau(G)/tau)(2) (where tau(B), tau(G) and tau denotes duration of bursts, gaps, and whole experiment, respectively), as a function of the temperature as the control parameter, was expected and obtained. Although these intermittent oscillations are chaotic with respect to the lengths of individual gaps as well as bursts, their deterministic behavior related to temperature was additionally established. Thus, the number of bursts or gaps per unit of time (N-B/tau and N-G/tau) has the form of a normal distribution function over the temperature range in the region where intermittencies are obtained. Temperature dependence of the Lyapunov exponents was also described by a function of the normal distribution form. Hence, we established some regularities in the chaotic behavior of intermittent oscillations that are common in life but difficult for determinations.",
publisher = "Royal Soc Chemistry, Cambridge",
journal = "Physical Chemistry Chemical Physics",
title = "Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence",
volume = "18",
number = "14",
pages = "9770-9778",
doi = "10.1039/c6cp00759g"
}

Bubanja, I. N., Macesic, S. R., Ivanović-Šašić, A., Čupić, Ž., Anić, S.,& Kolar-Anić, L.. (2016). Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence. in Physical Chemistry Chemical Physics
Royal Soc Chemistry, Cambridge., 18(14), 9770-9778.
https://doi.org/10.1039/c6cp00759g

Bubanja IN, Macesic SR, Ivanović-Šašić A, Čupić Ž, Anić S, Kolar-Anić L. Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence. in Physical Chemistry Chemical Physics. 2016;18(14):9770-9778.
doi:10.1039/c6cp00759g .

Bubanja, Itana Nuša, Macesic, Stevan R., Ivanović-Šašić, Ana, Čupić, Željko, Anić, Slobodan, Kolar-Anić, Ljiljana, "Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence" in Physical Chemistry Chemical Physics, 18, no. 14 (2016):9770-9778,
https://doi.org/10.1039/c6cp00759g . .

TY  - JOUR
AU  - Stankovic, Branislav
AU  - Čupić, Željko
AU  - Macesic, Stevan R.
AU  - Pejić, Nataša
AU  - Kolar-Anić, Ljiljana
PY  - 2016
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/1863
AB  - The mixing of different types of bifurcations, i.e. supercritical Andronov-Hopf (SAH), double loop (DL) and saddle-loop (SL) bifurcations in the vicinity of their total annihilation, is examined on the highly nonlinear six-variable model for the Bray-Liebhafsky (BL) oscillatory reaction under continuously well-stirred tank reactor (CSTR) conditions. For this kind of the reaction system where the law of mass conservation is additional constraint that must be satisfied and where because of that, some simple bifurcations cannot be formed independently to the others, the considered transformations of the bifurcations are particularly important. That is why as the control parameters for bifurcation analysis, the specific flow rate (j(0)), as well as the inflow hydrogen peroxide concentration (h = [H2O2](in)), were used. The complex bifurcations obtained from numerical simulations are compared with some experimental results. It was shown that these complex bifurcations cannot be easily recognized in experimental investigations without knowing their evolution.
PB  - Oxford : Pergamon-Elsevier Science Ltd
T2  - Chaos Solitons & Fractals
T1  - Complex bifurcations in the oscillatory reaction model
VL  - 87
SP  - 84
EP  - 91
DO  - 10.1016/j.chaos.2016.03.013
ER  - 

@article{
author = "Stankovic, Branislav and Čupić, Željko and Macesic, Stevan R. and Pejić, Nataša and Kolar-Anić, Ljiljana",
year = "2016",
abstract = "The mixing of different types of bifurcations, i.e. supercritical Andronov-Hopf (SAH), double loop (DL) and saddle-loop (SL) bifurcations in the vicinity of their total annihilation, is examined on the highly nonlinear six-variable model for the Bray-Liebhafsky (BL) oscillatory reaction under continuously well-stirred tank reactor (CSTR) conditions. For this kind of the reaction system where the law of mass conservation is additional constraint that must be satisfied and where because of that, some simple bifurcations cannot be formed independently to the others, the considered transformations of the bifurcations are particularly important. That is why as the control parameters for bifurcation analysis, the specific flow rate (j(0)), as well as the inflow hydrogen peroxide concentration (h = [H2O2](in)), were used. The complex bifurcations obtained from numerical simulations are compared with some experimental results. It was shown that these complex bifurcations cannot be easily recognized in experimental investigations without knowing their evolution.",
publisher = "Oxford : Pergamon-Elsevier Science Ltd",
journal = "Chaos Solitons & Fractals",
title = "Complex bifurcations in the oscillatory reaction model",
volume = "87",
pages = "84-91",
doi = "10.1016/j.chaos.2016.03.013"
}

Stankovic, B., Čupić, Ž., Macesic, S. R., Pejić, N.,& Kolar-Anić, L.. (2016). Complex bifurcations in the oscillatory reaction model. in Chaos Solitons & Fractals
Oxford : Pergamon-Elsevier Science Ltd., 87, 84-91.
https://doi.org/10.1016/j.chaos.2016.03.013

Stankovic B, Čupić Ž, Macesic SR, Pejić N, Kolar-Anić L. Complex bifurcations in the oscillatory reaction model. in Chaos Solitons & Fractals. 2016;87:84-91.
doi:10.1016/j.chaos.2016.03.013 .

Stankovic, Branislav, Čupić, Željko, Macesic, Stevan R., Pejić, Nataša, Kolar-Anić, Ljiljana, "Complex bifurcations in the oscillatory reaction model" in Chaos Solitons & Fractals, 87 (2016):84-91,
https://doi.org/10.1016/j.chaos.2016.03.013 . .

TY  - JOUR
AU  - Marković, Vladimir M.
AU  - Čupić, Željko
AU  - Macesic, Stevan
AU  - Stanojevic, Ana
AU  - Vukojevic, Vladana
AU  - Kolar-Anić, Ljiljana
PY  - 2016
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/1929
AB  - A mathematical model of the hypothalamic-pituitary-adrenal (HPA) axis with cholesterol as a dynamical variable was derived to investigate the effects of cholesterol, the primary precursor of all steroid hormones, on the ultradian and circadian HPA axis activity. To develop the model, the parameter space was systematically examined by stoichiometric network analysis to identify conditions for ultradian oscillations, determine conditions under which dynamic transitions, i.e. bifurcations occur and identify bifurcation types. The bifurcations were further characterized using numerical simulations. Model predictions agree well with empirical findings reported in the literature, indicating that cholesterol levels may critically affect the global dynamics of the HPA axis. The proposed model provides a base for better understanding of experimental observations, it may be used as a tool for designing experiments and offers useful insights into the characteristics of basic dynamic regulatory mechanisms that, when impaired, may lead to the development of some modern-lifestyle-associated diseases.
PB  - Oxford Univ Press, Oxford
T2  - Mathematical Medicine and Biology-A Journal of the Ima
T1  - Modelling cholesterol effects on the dynamics of the hypothalamic-pituitary-adrenal (HPA) axis
VL  - 33
IS  - 1
SP  - 1
EP  - 28
DO  - 10.1093/imammb/dqu020
ER  - 

@article{
author = "Marković, Vladimir M. and Čupić, Željko and Macesic, Stevan and Stanojevic, Ana and Vukojevic, Vladana and Kolar-Anić, Ljiljana",
year = "2016",
abstract = "A mathematical model of the hypothalamic-pituitary-adrenal (HPA) axis with cholesterol as a dynamical variable was derived to investigate the effects of cholesterol, the primary precursor of all steroid hormones, on the ultradian and circadian HPA axis activity. To develop the model, the parameter space was systematically examined by stoichiometric network analysis to identify conditions for ultradian oscillations, determine conditions under which dynamic transitions, i.e. bifurcations occur and identify bifurcation types. The bifurcations were further characterized using numerical simulations. Model predictions agree well with empirical findings reported in the literature, indicating that cholesterol levels may critically affect the global dynamics of the HPA axis. The proposed model provides a base for better understanding of experimental observations, it may be used as a tool for designing experiments and offers useful insights into the characteristics of basic dynamic regulatory mechanisms that, when impaired, may lead to the development of some modern-lifestyle-associated diseases.",
publisher = "Oxford Univ Press, Oxford",
journal = "Mathematical Medicine and Biology-A Journal of the Ima",
title = "Modelling cholesterol effects on the dynamics of the hypothalamic-pituitary-adrenal (HPA) axis",
volume = "33",
number = "1",
pages = "1-28",
doi = "10.1093/imammb/dqu020"
}

Marković, V. M., Čupić, Ž., Macesic, S., Stanojevic, A., Vukojevic, V.,& Kolar-Anić, L.. (2016). Modelling cholesterol effects on the dynamics of the hypothalamic-pituitary-adrenal (HPA) axis. in Mathematical Medicine and Biology-A Journal of the Ima
Oxford Univ Press, Oxford., 33(1), 1-28.
https://doi.org/10.1093/imammb/dqu020

Marković VM, Čupić Ž, Macesic S, Stanojevic A, Vukojevic V, Kolar-Anić L. Modelling cholesterol effects on the dynamics of the hypothalamic-pituitary-adrenal (HPA) axis. in Mathematical Medicine and Biology-A Journal of the Ima. 2016;33(1):1-28.
doi:10.1093/imammb/dqu020 .

Marković, Vladimir M., Čupić, Željko, Macesic, Stevan, Stanojevic, Ana, Vukojevic, Vladana, Kolar-Anić, Ljiljana, "Modelling cholesterol effects on the dynamics of the hypothalamic-pituitary-adrenal (HPA) axis" in Mathematical Medicine and Biology-A Journal of the Ima, 33, no. 1 (2016):1-28,
https://doi.org/10.1093/imammb/dqu020 . .

TY  - JOUR
AU  - Macesic, Stevan
AU  - Čupić, Željko
AU  - Kolar-Anić, Ljiljana
PY  - 2016
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/2000
AB  - In this paper, an already published model of the Bray-Liebhafsky reaction was improved by removing the direct autoinhibitory step, which resulted in a new variant of the model with more realistic kinetic scheme than the earlier version. The obtained variant of the model retains all intermediate species (I-, HIO, HIO2 and I-2) that were present in the previous model and has one reaction less. Stability analysis of the improved model was performed by stoichiometric network analysis (SNA). By this method, it was shown that improved model can simulate Andronov-Hopf and saddle-node bifurcations. In order to confirm the results of SNA, bifurcation analysis was performed with the initial concentrations of [H2O2](0) as the control parameter. With selected set of rate constants and constant concentrations of external species, two Andronov-Hopf bifurcations were detected at [H2O2](0) = 5.62 x 10(-2) M and [H2O2](0) = 10.73 M, while the rate constants ought to be changed for a saddle-node to occur. Bifurcation analysis also showed that the interaction between intermediate species I-, HIO and HIO2 has a crucial impact on the emergence of Andronov-Hopf bifurcation.
PB  - Springer Netherlands
T2  - Reaction Kinetics, Mechanisms and Catalysis
T1  - Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction
VL  - 118
IS  - 1
SP  - 39
EP  - 55
DO  - 10.1007/s11144-016-1000-2
ER  - 

@article{
author = "Macesic, Stevan and Čupić, Željko and Kolar-Anić, Ljiljana",
year = "2016",
abstract = "In this paper, an already published model of the Bray-Liebhafsky reaction was improved by removing the direct autoinhibitory step, which resulted in a new variant of the model with more realistic kinetic scheme than the earlier version. The obtained variant of the model retains all intermediate species (I-, HIO, HIO2 and I-2) that were present in the previous model and has one reaction less. Stability analysis of the improved model was performed by stoichiometric network analysis (SNA). By this method, it was shown that improved model can simulate Andronov-Hopf and saddle-node bifurcations. In order to confirm the results of SNA, bifurcation analysis was performed with the initial concentrations of [H2O2](0) as the control parameter. With selected set of rate constants and constant concentrations of external species, two Andronov-Hopf bifurcations were detected at [H2O2](0) = 5.62 x 10(-2) M and [H2O2](0) = 10.73 M, while the rate constants ought to be changed for a saddle-node to occur. Bifurcation analysis also showed that the interaction between intermediate species I-, HIO and HIO2 has a crucial impact on the emergence of Andronov-Hopf bifurcation.",
publisher = "Springer Netherlands",
journal = "Reaction Kinetics, Mechanisms and Catalysis",
title = "Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction",
volume = "118",
number = "1",
pages = "39-55",
doi = "10.1007/s11144-016-1000-2"
}

Macesic, S., Čupić, Ž.,& Kolar-Anić, L.. (2016). Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction. in Reaction Kinetics, Mechanisms and Catalysis
Springer Netherlands., 118(1), 39-55.
https://doi.org/10.1007/s11144-016-1000-2

Macesic S, Čupić Ž, Kolar-Anić L. Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction. in Reaction Kinetics, Mechanisms and Catalysis. 2016;118(1):39-55.
doi:10.1007/s11144-016-1000-2 .

Macesic, Stevan, Čupić, Željko, Kolar-Anić, Ljiljana, "Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction" in Reaction Kinetics, Mechanisms and Catalysis, 118, no. 1 (2016):39-55,
https://doi.org/10.1007/s11144-016-1000-2 . .

TY  - JOUR
AU  - Macesic, Stevan
AU  - Čupić, Željko
AU  - Kolar-Anić, Ljiljana
PY  - 2016
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/2015
PB  - Springer Netherlands
T2  - Reaction Kinetics, Mechanisms and Catalysis
T1  - Erratum: Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction (vol 118, pg 39, 2016)
VL  - 118
IS  - 1
SP  - 57
EP  - 57
DO  - 10.1007/s11144-016-1015-8
ER  - 

@article{
author = "Macesic, Stevan and Čupić, Željko and Kolar-Anić, Ljiljana",
year = "2016",
publisher = "Springer Netherlands",
journal = "Reaction Kinetics, Mechanisms and Catalysis",
title = "Erratum: Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction (vol 118, pg 39, 2016)",
volume = "118",
number = "1",
pages = "57-57",
doi = "10.1007/s11144-016-1015-8"
}

Macesic, S., Čupić, Ž.,& Kolar-Anić, L.. (2016). Erratum: Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction (vol 118, pg 39, 2016). in Reaction Kinetics, Mechanisms and Catalysis
Springer Netherlands., 118(1), 57-57.
https://doi.org/10.1007/s11144-016-1015-8

Macesic S, Čupić Ž, Kolar-Anić L. Erratum: Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction (vol 118, pg 39, 2016). in Reaction Kinetics, Mechanisms and Catalysis. 2016;118(1):57-57.
doi:10.1007/s11144-016-1015-8 .

Macesic, Stevan, Čupić, Željko, Kolar-Anić, Ljiljana, "Erratum: Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction (vol 118, pg 39, 2016)" in Reaction Kinetics, Mechanisms and Catalysis, 118, no. 1 (2016):57-57,
https://doi.org/10.1007/s11144-016-1015-8 . .

TY  - JOUR
AU  - Čupić, Željko
AU  - Marković, Vladimir M.
AU  - Macesic, Stevan
AU  - Stanojevic, Ana
AU  - Damjanovic, Svetozar
AU  - Vukojevic, Vladana
AU  - Kolar-Anić, Ljiljana
PY  - 2016
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/2036
AB  - Dynamic properties of a nonlinear five-dimensional stoichiometric model of the hypothalamicpituitary-adrenal (HPA) axis were systematically investigated. Conditions under which qualitative transitions between dynamic states occur are determined by independently varying the rate constants of all reactions that constitute the model. Bifurcation types were further characterized using continuation algorithms and scale factor methods. Regions of bistability and transitions through supercritical Andronov-Hopf and saddle loop bifurcations were identified. Dynamic state analysis predicts that the HPA axis operates under basal (healthy) physiological conditions close to an Andronov-Hopf bifurcation. Dynamic properties of the stress-control axis have not been characterized experimentally, but modelling suggests that the proximity to a supercritical Andronov-Hopf bifurcation can give the HPA axis both, flexibility to respond to external stimuli and adjust to new conditions and stability, i.e., the capacity to return to the original dynamic state afterwards, which is essential for maintaining homeostasis. The analysis presented here reflects the properties of a low-dimensional model that succinctly describes neurochemical transformations underlying the HPA axis. However, the model accounts correctly for a number of experimentally observed properties of the stress-response axis. We therefore regard that the presented analysis is meaningful, showing how in silico investigations can be used to guide the experimentalists in understanding how the HPA axis activity changes under chronic disease and/or specific pharmacological manipulations.
PB  - Amer Inst Physics, Melville
T2  - Chaos
T1  - Dynamic transitions in a model of the hypothalamic-pituitary-adrenal axis
VL  - 26
IS  - 3
DO  - 10.1063/1.4944040
ER  - 

@article{
author = "Čupić, Željko and Marković, Vladimir M. and Macesic, Stevan and Stanojevic, Ana and Damjanovic, Svetozar and Vukojevic, Vladana and Kolar-Anić, Ljiljana",
year = "2016",
abstract = "Dynamic properties of a nonlinear five-dimensional stoichiometric model of the hypothalamicpituitary-adrenal (HPA) axis were systematically investigated. Conditions under which qualitative transitions between dynamic states occur are determined by independently varying the rate constants of all reactions that constitute the model. Bifurcation types were further characterized using continuation algorithms and scale factor methods. Regions of bistability and transitions through supercritical Andronov-Hopf and saddle loop bifurcations were identified. Dynamic state analysis predicts that the HPA axis operates under basal (healthy) physiological conditions close to an Andronov-Hopf bifurcation. Dynamic properties of the stress-control axis have not been characterized experimentally, but modelling suggests that the proximity to a supercritical Andronov-Hopf bifurcation can give the HPA axis both, flexibility to respond to external stimuli and adjust to new conditions and stability, i.e., the capacity to return to the original dynamic state afterwards, which is essential for maintaining homeostasis. The analysis presented here reflects the properties of a low-dimensional model that succinctly describes neurochemical transformations underlying the HPA axis. However, the model accounts correctly for a number of experimentally observed properties of the stress-response axis. We therefore regard that the presented analysis is meaningful, showing how in silico investigations can be used to guide the experimentalists in understanding how the HPA axis activity changes under chronic disease and/or specific pharmacological manipulations.",
publisher = "Amer Inst Physics, Melville",
journal = "Chaos",
title = "Dynamic transitions in a model of the hypothalamic-pituitary-adrenal axis",
volume = "26",
number = "3",
doi = "10.1063/1.4944040"
}

Čupić, Ž., Marković, V. M., Macesic, S., Stanojevic, A., Damjanovic, S., Vukojevic, V.,& Kolar-Anić, L.. (2016). Dynamic transitions in a model of the hypothalamic-pituitary-adrenal axis. in Chaos
Amer Inst Physics, Melville., 26(3).
https://doi.org/10.1063/1.4944040

Čupić Ž, Marković VM, Macesic S, Stanojevic A, Damjanovic S, Vukojevic V, Kolar-Anić L. Dynamic transitions in a model of the hypothalamic-pituitary-adrenal axis. in Chaos. 2016;26(3).
doi:10.1063/1.4944040 .

Čupić, Željko, Marković, Vladimir M., Macesic, Stevan, Stanojevic, Ana, Damjanovic, Svetozar, Vukojevic, Vladana, Kolar-Anić, Ljiljana, "Dynamic transitions in a model of the hypothalamic-pituitary-adrenal axis" in Chaos, 26, no. 3 (2016),
https://doi.org/10.1063/1.4944040 . .

TY  - JOUR
AU  - Macesic, Stevan R.
AU  - Čupić, Željko
AU  - Anić, Slobodan
AU  - Kolar-Anić, Ljiljana
PY  - 2015
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/1665
AB  - The mathematical analogy between properties of simple and complex models of non-linear reactions was used to determine reaction steps in the complex model, necessary to generate instability region and appropriate type of bifurcations on the border between stable and unstable non-equilibrium stationary state. The autocatalator was recognized as the simple prototype two-variable non-linear model practical for examination of the complex four-variable non-linear neuroendocrine system known as the Hypothalamic-Pituitary-Adrenal (HPA) axis. In both cases, we derived the instability criteria by stoichiometric network analysis (SNA), determine conditions under which dynamic transitions, i.e. bifurcations occur, and identify the type of bifurcation. The supercritical Andronov-Hopf bifurcation was found in both cases whereas saddle-node bifurcation was detected only in the model for HPA axis. Thus, by stoichiometric network analysis, the mathematical analogy is found between two different models with same autocatalytic steps, that is, between two models with easily recognizable qualitative analogy.
PB  - Oxford : Pergamon-Elsevier Science Ltd
T2  - International Journal of Non-Linear Mechanics
T1  - Autocatalator as the source of instability in the complex non-linear neuroendocrine model
VL  - 73
SP  - 25
EP  - 30
DO  - 10.1016/j.ijnonlinmec.2014.11.008
ER  - 

@article{
author = "Macesic, Stevan R. and Čupić, Željko and Anić, Slobodan and Kolar-Anić, Ljiljana",
year = "2015",
abstract = "The mathematical analogy between properties of simple and complex models of non-linear reactions was used to determine reaction steps in the complex model, necessary to generate instability region and appropriate type of bifurcations on the border between stable and unstable non-equilibrium stationary state. The autocatalator was recognized as the simple prototype two-variable non-linear model practical for examination of the complex four-variable non-linear neuroendocrine system known as the Hypothalamic-Pituitary-Adrenal (HPA) axis. In both cases, we derived the instability criteria by stoichiometric network analysis (SNA), determine conditions under which dynamic transitions, i.e. bifurcations occur, and identify the type of bifurcation. The supercritical Andronov-Hopf bifurcation was found in both cases whereas saddle-node bifurcation was detected only in the model for HPA axis. Thus, by stoichiometric network analysis, the mathematical analogy is found between two different models with same autocatalytic steps, that is, between two models with easily recognizable qualitative analogy.",
publisher = "Oxford : Pergamon-Elsevier Science Ltd",
journal = "International Journal of Non-Linear Mechanics",
title = "Autocatalator as the source of instability in the complex non-linear neuroendocrine model",
volume = "73",
pages = "25-30",
doi = "10.1016/j.ijnonlinmec.2014.11.008"
}

Macesic, S. R., Čupić, Ž., Anić, S.,& Kolar-Anić, L.. (2015). Autocatalator as the source of instability in the complex non-linear neuroendocrine model. in International Journal of Non-Linear Mechanics
Oxford : Pergamon-Elsevier Science Ltd., 73, 25-30.
https://doi.org/10.1016/j.ijnonlinmec.2014.11.008

Macesic SR, Čupić Ž, Anić S, Kolar-Anić L. Autocatalator as the source of instability in the complex non-linear neuroendocrine model. in International Journal of Non-Linear Mechanics. 2015;73:25-30.
doi:10.1016/j.ijnonlinmec.2014.11.008 .

Macesic, Stevan R., Čupić, Željko, Anić, Slobodan, Kolar-Anić, Ljiljana, "Autocatalator as the source of instability in the complex non-linear neuroendocrine model" in International Journal of Non-Linear Mechanics, 73 (2015):25-30,
https://doi.org/10.1016/j.ijnonlinmec.2014.11.008 . .

TY  - JOUR
AU  - Macesic, Stevan R.
AU  - Čupić, Željko
AU  - Blagojević, Slavica
AU  - Pejić, Nataša
AU  - Anić, Slobodan
AU  - Kolar-Anić, Ljiljana
PY  - 2015
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/1661
AB  - In stoichiometric network analysis (SNA) the instability condition is calculated by the current rates. Recently, we have shown that in the final result the current rates can be substituted by reaction rates, which is a more appropriate value for the examination of instability from experimental point of view. Here, we elaborate the problem of whether the current rates are necessary parameters in the calculation, with the aim of obtaining the region of instability. All calculations are performed on a model for Belousov-Zhabotinsky (BZ) reaction, which has not been examined by SNA.
PB  - De Gruyter
T2  - Open Chemistry
T1  - Current rates and reaction rates in the Stoichiometric Network Analysis (SNA)
VL  - 13
IS  - 1
SP  - 591
EP  - 599
DO  - 10.1515/chem-2015-0077
ER  - 

@article{
author = "Macesic, Stevan R. and Čupić, Željko and Blagojević, Slavica and Pejić, Nataša and Anić, Slobodan and Kolar-Anić, Ljiljana",
year = "2015",
abstract = "In stoichiometric network analysis (SNA) the instability condition is calculated by the current rates. Recently, we have shown that in the final result the current rates can be substituted by reaction rates, which is a more appropriate value for the examination of instability from experimental point of view. Here, we elaborate the problem of whether the current rates are necessary parameters in the calculation, with the aim of obtaining the region of instability. All calculations are performed on a model for Belousov-Zhabotinsky (BZ) reaction, which has not been examined by SNA.",
publisher = "De Gruyter",
journal = "Open Chemistry",
title = "Current rates and reaction rates in the Stoichiometric Network Analysis (SNA)",
volume = "13",
number = "1",
pages = "591-599",
doi = "10.1515/chem-2015-0077"
}

Macesic, S. R., Čupić, Ž., Blagojević, S., Pejić, N., Anić, S.,& Kolar-Anić, L.. (2015). Current rates and reaction rates in the Stoichiometric Network Analysis (SNA). in Open Chemistry
De Gruyter., 13(1), 591-599.
https://doi.org/10.1515/chem-2015-0077

Macesic SR, Čupić Ž, Blagojević S, Pejić N, Anić S, Kolar-Anić L. Current rates and reaction rates in the Stoichiometric Network Analysis (SNA). in Open Chemistry. 2015;13(1):591-599.
doi:10.1515/chem-2015-0077 .

Macesic, Stevan R., Čupić, Željko, Blagojević, Slavica, Pejić, Nataša, Anić, Slobodan, Kolar-Anić, Ljiljana, "Current rates and reaction rates in the Stoichiometric Network Analysis (SNA)" in Open Chemistry, 13, no. 1 (2015):591-599,
https://doi.org/10.1515/chem-2015-0077 . .

TY  - JOUR
AU  - Čupić, Željko
AU  - Kolar-Anić, Ljiljana
AU  - Anić, Slobodan
AU  - Macesic, Stevan R.
AU  - Maksimović, Jelena
AU  - Pavlović, Marko S.
AU  - Milenković, Maja
AU  - Bubanja, Itana Nuša
AU  - Greco, Emanuela
AU  - Furrow, Stanley D.
AU  - Cervellati, Rinaldo
PY  - 2014
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/1505
AB  - The intermittency or intermittent bursting as the type of dynamic state when two qualitatively different behaviors replace one another randomly during the course of the reaction, although all the control parameters remain constant, is found in the Briggs Symbol of the Klingon Empire Rauscher oscillating system moderated by a very small amount of phenol. Within a range of phenol concentrations, the oscillation amplitude is diminished considerably, and after oscillations cease, they repeat intermittently, giving several bursts of oscillations. For the concentrations used here, the range of phenol concentrations where intermittent bursting oscillations occur in a closed reactor is ca. 1.8x10(-5) to 3.6x10(-5) M. Bursting also occurs in an open reactor and can be sustained indefinitely at 5.53x10(-5) M concentration. The intermittent bursting behavior is robust, and can be achieved at a variety of conditions.
PB  - Wiley-V C H Verlag Gmbh, Weinheim
T2  - Helvetica Chimica Acta
T1  - Regularity of Intermittent Bursts in Briggs Symbol of the Klingon Empire Rauscher Oscillating Systems with Phenol
VL  - 97
IS  - 3
SP  - 321
EP  - 333
DO  - 10.1002/hlca.201300178
ER  - 

@article{
author = "Čupić, Željko and Kolar-Anić, Ljiljana and Anić, Slobodan and Macesic, Stevan R. and Maksimović, Jelena and Pavlović, Marko S. and Milenković, Maja and Bubanja, Itana Nuša and Greco, Emanuela and Furrow, Stanley D. and Cervellati, Rinaldo",
year = "2014",
abstract = "The intermittency or intermittent bursting as the type of dynamic state when two qualitatively different behaviors replace one another randomly during the course of the reaction, although all the control parameters remain constant, is found in the Briggs Symbol of the Klingon Empire Rauscher oscillating system moderated by a very small amount of phenol. Within a range of phenol concentrations, the oscillation amplitude is diminished considerably, and after oscillations cease, they repeat intermittently, giving several bursts of oscillations. For the concentrations used here, the range of phenol concentrations where intermittent bursting oscillations occur in a closed reactor is ca. 1.8x10(-5) to 3.6x10(-5) M. Bursting also occurs in an open reactor and can be sustained indefinitely at 5.53x10(-5) M concentration. The intermittent bursting behavior is robust, and can be achieved at a variety of conditions.",
publisher = "Wiley-V C H Verlag Gmbh, Weinheim",
journal = "Helvetica Chimica Acta",
title = "Regularity of Intermittent Bursts in Briggs Symbol of the Klingon Empire Rauscher Oscillating Systems with Phenol",
volume = "97",
number = "3",
pages = "321-333",
doi = "10.1002/hlca.201300178"
}

Čupić, Ž., Kolar-Anić, L., Anić, S., Macesic, S. R., Maksimović, J., Pavlović, M. S., Milenković, M., Bubanja, I. N., Greco, E., Furrow, S. D.,& Cervellati, R.. (2014). Regularity of Intermittent Bursts in Briggs Symbol of the Klingon Empire Rauscher Oscillating Systems with Phenol. in Helvetica Chimica Acta
Wiley-V C H Verlag Gmbh, Weinheim., 97(3), 321-333.
https://doi.org/10.1002/hlca.201300178

Čupić Ž, Kolar-Anić L, Anić S, Macesic SR, Maksimović J, Pavlović MS, Milenković M, Bubanja IN, Greco E, Furrow SD, Cervellati R. Regularity of Intermittent Bursts in Briggs Symbol of the Klingon Empire Rauscher Oscillating Systems with Phenol. in Helvetica Chimica Acta. 2014;97(3):321-333.
doi:10.1002/hlca.201300178 .

Čupić, Željko, Kolar-Anić, Ljiljana, Anić, Slobodan, Macesic, Stevan R., Maksimović, Jelena, Pavlović, Marko S., Milenković, Maja, Bubanja, Itana Nuša, Greco, Emanuela, Furrow, Stanley D., Cervellati, Rinaldo, "Regularity of Intermittent Bursts in Briggs Symbol of the Klingon Empire Rauscher Oscillating Systems with Phenol" in Helvetica Chimica Acta, 97, no. 3 (2014):321-333,
https://doi.org/10.1002/hlca.201300178 . .