Kolar-Anic, Ljiljana

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  • Kolar-Anic, Ljiljana (5)
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Author's Bibliography

Bifurcation analysis: a tool for determining model parameters of the considered process

Macesic, Stevan; Cupic, Zeljko; Ivanovic-Sasic, Ana; Anic, Slobodan; Radenković, Mirjana; Pejic, Natasa; Kolar-Anic, Ljiljana

(2018)

TY  - JOUR
AU  - Macesic, Stevan
AU  - Cupic, Zeljko
AU  - Ivanovic-Sasic, Ana
AU  - Anic, Slobodan
AU  - Radenković, Mirjana
AU  - Pejic, Natasa
AU  - Kolar-Anic, Ljiljana
PY  - 2018
UR  - http://vinar.vin.bg.ac.rs/handle/123456789/1901
AB  - In this paper, we intend to show the importance of the bifurcation analysis in understanding of an oscillatory process. Hence, we use the bifurcation diagram of the Bray-Liebhafsky reaction performed in continuous well-stirred tank reactor under controlled temperature variations for the determination of the activation energies as well as rate constants of particular steps appearing in the kinetic model of oscillatory reaction mechanism. This approach has led us to the development of general procedure for treatment of experimentally obtained data and extracting kinetic parameters from them, which was very important considering that some rate constants of the already proposed model could not be determined experimentally and have to be fitted (or guessed). Also, the proposed approach has the potential to inspire the refinement of already proposed models and the development of a new one that will be able to reproduce experimentally obtained systems dynamical features more successfully. In particular, the dynamic states of the Bray-Liebhafsky oscillatory reaction have been analyzed experimentally and numerically using already proposed model together with qualitative and quantitative analysis of bifurcation diagrams in both cases.
T2  - Reaction Kinetics, Mechanisms and Catalysis
T1  - Bifurcation analysis: a tool for determining model parameters of the considered process
VL  - 123
IS  - 1
SP  - 31
EP  - 45
DO  - 10.1007/s11144-017-1324-6
ER  - 
@article{
author = "Macesic, Stevan and Cupic, Zeljko and Ivanovic-Sasic, Ana and Anic, Slobodan and Radenković, Mirjana and Pejic, Natasa and Kolar-Anic, Ljiljana",
year = "2018",
url = "http://vinar.vin.bg.ac.rs/handle/123456789/1901",
abstract = "In this paper, we intend to show the importance of the bifurcation analysis in understanding of an oscillatory process. Hence, we use the bifurcation diagram of the Bray-Liebhafsky reaction performed in continuous well-stirred tank reactor under controlled temperature variations for the determination of the activation energies as well as rate constants of particular steps appearing in the kinetic model of oscillatory reaction mechanism. This approach has led us to the development of general procedure for treatment of experimentally obtained data and extracting kinetic parameters from them, which was very important considering that some rate constants of the already proposed model could not be determined experimentally and have to be fitted (or guessed). Also, the proposed approach has the potential to inspire the refinement of already proposed models and the development of a new one that will be able to reproduce experimentally obtained systems dynamical features more successfully. In particular, the dynamic states of the Bray-Liebhafsky oscillatory reaction have been analyzed experimentally and numerically using already proposed model together with qualitative and quantitative analysis of bifurcation diagrams in both cases.",
journal = "Reaction Kinetics, Mechanisms and Catalysis",
title = "Bifurcation analysis: a tool for determining model parameters of the considered process",
volume = "123",
number = "1",
pages = "31-45",
doi = "10.1007/s11144-017-1324-6"
}
Macesic, S., Cupic, Z., Ivanovic-Sasic, A., Anic, S., Radenković, M., Pejic, N.,& Kolar-Anic, L. (2018). Bifurcation analysis: a tool for determining model parameters of the considered process.
Reaction Kinetics, Mechanisms and Catalysis, 123(1), 31-45.
https://doi.org/10.1007/s11144-017-1324-6
Macesic S, Cupic Z, Ivanovic-Sasic A, Anic S, Radenković M, Pejic N, Kolar-Anic L. Bifurcation analysis: a tool for determining model parameters of the considered process. Reaction Kinetics, Mechanisms and Catalysis. 2018;123(1):31-45
Macesic Stevan, Cupic Zeljko, Ivanovic-Sasic Ana, Anic Slobodan, Radenković Mirjana, Pejic Natasa, Kolar-Anic Ljiljana, "Bifurcation analysis: a tool for determining model parameters of the considered process" Reaction Kinetics, Mechanisms and Catalysis, 123, no. 1 (2018):31-45,
https://doi.org/10.1007/s11144-017-1324-6 .
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Dynamic transitions in the Bray-Liebhafsky oscillating reaction. Effect of hydrogen peroxide and temperature on bifurcation

Pejic, Natasa; Kolar-Anic, Ljiljana; Maksimovic, Jelena; Janković, Marija M.; Vukojevic, Vladana; Anic, Slobodan

(2016)

TY  - JOUR
AU  - Pejic, Natasa
AU  - Kolar-Anic, Ljiljana
AU  - Maksimovic, Jelena
AU  - Janković, Marija M.
AU  - Vukojevic, Vladana
AU  - Anic, Slobodan
PY  - 2016
UR  - http://vinar.vin.bg.ac.rs/handle/123456789/1078
AB  - The temporal dynamics of the Bray-Liebhafsky reaction (iodate-based catalytic decomposition of hydrogen peroxide in an acidic aqueous solution) was experimentally characterized in a continuous stirred tank reactor by independently varying the temperature and the mixed inflow hydrogen peroxide concentration. When the temperature was the bifurcation parameter, the emergence/disappearance of oscillatory behavior via a supercritical Andronov-Hopf bifurcation was observed for different mixed inflow hydrogen peroxide concentrations. An increase in the mixed inflow hydrogen-peroxide concentration resulted in a shift of the bifurcation point towards higher values of temperature, but did not alter the bifurcation type.
T2  - Reaction Kinetics, Mechanisms and Catalysis
T1  - Dynamic transitions in the Bray-Liebhafsky oscillating reaction. Effect of hydrogen peroxide and temperature on bifurcation
VL  - 118
IS  - 1
SP  - 15
EP  - 26
DO  - 10.1007/s11144-016-0984-y
ER  - 
@article{
author = "Pejic, Natasa and Kolar-Anic, Ljiljana and Maksimovic, Jelena and Janković, Marija M. and Vukojevic, Vladana and Anic, Slobodan",
year = "2016",
url = "http://vinar.vin.bg.ac.rs/handle/123456789/1078",
abstract = "The temporal dynamics of the Bray-Liebhafsky reaction (iodate-based catalytic decomposition of hydrogen peroxide in an acidic aqueous solution) was experimentally characterized in a continuous stirred tank reactor by independently varying the temperature and the mixed inflow hydrogen peroxide concentration. When the temperature was the bifurcation parameter, the emergence/disappearance of oscillatory behavior via a supercritical Andronov-Hopf bifurcation was observed for different mixed inflow hydrogen peroxide concentrations. An increase in the mixed inflow hydrogen-peroxide concentration resulted in a shift of the bifurcation point towards higher values of temperature, but did not alter the bifurcation type.",
journal = "Reaction Kinetics, Mechanisms and Catalysis",
title = "Dynamic transitions in the Bray-Liebhafsky oscillating reaction. Effect of hydrogen peroxide and temperature on bifurcation",
volume = "118",
number = "1",
pages = "15-26",
doi = "10.1007/s11144-016-0984-y"
}
Pejic, N., Kolar-Anic, L., Maksimovic, J., Janković, M. M., Vukojevic, V.,& Anic, S. (2016). Dynamic transitions in the Bray-Liebhafsky oscillating reaction. Effect of hydrogen peroxide and temperature on bifurcation.
Reaction Kinetics, Mechanisms and Catalysis, 118(1), 15-26.
https://doi.org/10.1007/s11144-016-0984-y
Pejic N, Kolar-Anic L, Maksimovic J, Janković MM, Vukojevic V, Anic S. Dynamic transitions in the Bray-Liebhafsky oscillating reaction. Effect of hydrogen peroxide and temperature on bifurcation. Reaction Kinetics, Mechanisms and Catalysis. 2016;118(1):15-26
Pejic Natasa, Kolar-Anic Ljiljana, Maksimovic Jelena, Janković Marija M., Vukojevic Vladana, Anic Slobodan, "Dynamic transitions in the Bray-Liebhafsky oscillating reaction. Effect of hydrogen peroxide and temperature on bifurcation" Reaction Kinetics, Mechanisms and Catalysis, 118, no. 1 (2016):15-26,
https://doi.org/10.1007/s11144-016-0984-y .
3
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The non-isothermal thermogravimetric tests of animal bones combustion. Part II. Statistical analysis: Application of the Weibull mixture model

Janković, Bojan Ž.; Adnađević, Borivoj; Kolar-Anic, Ljiljana; Smičiklas, Ivana D.

(2010)

TY  - JOUR
AU  - Janković, Bojan Ž.
AU  - Adnađević, Borivoj
AU  - Kolar-Anic, Ljiljana
AU  - Smičiklas, Ivana D.
PY  - 2010
UR  - http://vinar.vin.bg.ac.rs/handle/123456789/4022
AB  - The possibility of applying the Weibull mixture model for the fitting of the non-isothermal conversion data for the combustion process of animal bone samples has been investigated. It has been found that the conversion data at the different heating rates for the investigated samples, can be successfully described by the linear combination of few Weibull distribution functions. An optimal fitting of the conversion data has been obtained by a mixture of three Weibull distribution functions. It was established that the conversion curves calculated by the proposed model, are in good agreement with the raw conversion data of the investigated bone samples. The alterations of distribution parameters in the Weibull mixture model, indicate a probably change of the kinetic nature of the particular reaction stage. A model with a continuous distribution of the apparent activation energies (E-a) can adequately represents the individually stages of the complex combustion process. The characterization of the estimated distribution curves, enable us to receive the additional informations about the kinetic behaviour of individual reaction stages, which does not attainable from the results of conventional kinetic analysis. (C) 2010 Elsevier B.V. All rights reserved.
T2  - Thermochimica Acta
T1  - The non-isothermal thermogravimetric tests of animal bones combustion. Part II. Statistical analysis: Application of the Weibull mixture model
VL  - 505
IS  - 1-2
SP  - 98
EP  - 105
DO  - 10.1016/j.tca.2010.04.005
ER  - 
@article{
author = "Janković, Bojan Ž. and Adnađević, Borivoj and Kolar-Anic, Ljiljana and Smičiklas, Ivana D.",
year = "2010",
url = "http://vinar.vin.bg.ac.rs/handle/123456789/4022",
abstract = "The possibility of applying the Weibull mixture model for the fitting of the non-isothermal conversion data for the combustion process of animal bone samples has been investigated. It has been found that the conversion data at the different heating rates for the investigated samples, can be successfully described by the linear combination of few Weibull distribution functions. An optimal fitting of the conversion data has been obtained by a mixture of three Weibull distribution functions. It was established that the conversion curves calculated by the proposed model, are in good agreement with the raw conversion data of the investigated bone samples. The alterations of distribution parameters in the Weibull mixture model, indicate a probably change of the kinetic nature of the particular reaction stage. A model with a continuous distribution of the apparent activation energies (E-a) can adequately represents the individually stages of the complex combustion process. The characterization of the estimated distribution curves, enable us to receive the additional informations about the kinetic behaviour of individual reaction stages, which does not attainable from the results of conventional kinetic analysis. (C) 2010 Elsevier B.V. All rights reserved.",
journal = "Thermochimica Acta",
title = "The non-isothermal thermogravimetric tests of animal bones combustion. Part II. Statistical analysis: Application of the Weibull mixture model",
volume = "505",
number = "1-2",
pages = "98-105",
doi = "10.1016/j.tca.2010.04.005"
}
Janković, B. Ž., Adnađević, B., Kolar-Anic, L.,& Smičiklas, I. D. (2010). The non-isothermal thermogravimetric tests of animal bones combustion. Part II. Statistical analysis: Application of the Weibull mixture model.
Thermochimica Acta, 505(1-2), 98-105.
https://doi.org/10.1016/j.tca.2010.04.005
Janković BŽ, Adnađević B, Kolar-Anic L, Smičiklas ID. The non-isothermal thermogravimetric tests of animal bones combustion. Part II. Statistical analysis: Application of the Weibull mixture model. Thermochimica Acta. 2010;505(1-2):98-105
Janković Bojan Ž., Adnađević Borivoj, Kolar-Anic Ljiljana, Smičiklas Ivana D., "The non-isothermal thermogravimetric tests of animal bones combustion. Part II. Statistical analysis: Application of the Weibull mixture model" Thermochimica Acta, 505, no. 1-2 (2010):98-105,
https://doi.org/10.1016/j.tca.2010.04.005 .
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The non-isothermal thermogravimetric tests of animal bones combustion. Part. I. Kinetic analysis

Janković, Bojan Ž.; Kolar-Anic, Ljiljana; Smičiklas, Ivana D.; Dimović, Slavko; Arandelovic, Dragana

(2009)

TY  - JOUR
AU  - Janković, Bojan Ž.
AU  - Kolar-Anic, Ljiljana
AU  - Smičiklas, Ivana D.
AU  - Dimović, Slavko
AU  - Arandelovic, Dragana
PY  - 2009
UR  - http://vinar.vin.bg.ac.rs/handle/123456789/3826
AB  - The non-isothermal combustion of animal bones was investigated by simultaneous thermogravimetric and differential thermal analysis (TG-DTA), in the temperature range Delta T = 20-650 degrees C. The full kinetic triplet (A, E(alpha) and f(alpha)) for the investigated process was established, using different calculation procedures: isoconversional (model-free) and the Kissingers methods. The non-isothermal process occured through three reaction stages (I, II and III). Stage I was described by a reaction model, which contains two competing reactions with different values of the apparent activation energy. The autocatalytic two-parameter Sestak-Berggren (SB) model (conversion function f(alpha) = alpha(0.62)(1-alpha)(3.22)). best described the second (II) reaction stage of bone samples. This stage, which corresponds to the degradation process of organic components (mainly collagen), exhibited the autocatalytic branching effect, with increasing complexity. Stage III, attributed to the combustion process of organic components, was best described by an n-th reaction order model with parameter n = 1.5 (f(alpha) = (1 - alpha()1.5). The appearance of compensation effect clearly showed the existence of three characteristic branches attributed to the dehydration, degradation and combustion processes, respectively, without noticable changes in mineral phase. The isothermal predictions of bone combustion process, at four different temperatures (T(iso) = 200, 300, 400 and 450 degrees C) were established in this paper. It was concluded that the shapes of the isothermal conversion curves at lower temperatures (200-300 degrees C) were similar, whereas became more complex with further temperature increase due to organic phase degradation. (C) 2009 Elsevier B.V. All rights reserved.
T2  - Thermochimica Acta
T1  - The non-isothermal thermogravimetric tests of animal bones combustion. Part. I. Kinetic analysis
VL  - 495
IS  - 1-2
SP  - 129
EP  - 138
DO  - 10.1016/j.tca.2009.06.016
ER  - 
@article{
author = "Janković, Bojan Ž. and Kolar-Anic, Ljiljana and Smičiklas, Ivana D. and Dimović, Slavko and Arandelovic, Dragana",
year = "2009",
url = "http://vinar.vin.bg.ac.rs/handle/123456789/3826",
abstract = "The non-isothermal combustion of animal bones was investigated by simultaneous thermogravimetric and differential thermal analysis (TG-DTA), in the temperature range Delta T = 20-650 degrees C. The full kinetic triplet (A, E(alpha) and f(alpha)) for the investigated process was established, using different calculation procedures: isoconversional (model-free) and the Kissingers methods. The non-isothermal process occured through three reaction stages (I, II and III). Stage I was described by a reaction model, which contains two competing reactions with different values of the apparent activation energy. The autocatalytic two-parameter Sestak-Berggren (SB) model (conversion function f(alpha) = alpha(0.62)(1-alpha)(3.22)). best described the second (II) reaction stage of bone samples. This stage, which corresponds to the degradation process of organic components (mainly collagen), exhibited the autocatalytic branching effect, with increasing complexity. Stage III, attributed to the combustion process of organic components, was best described by an n-th reaction order model with parameter n = 1.5 (f(alpha) = (1 - alpha()1.5). The appearance of compensation effect clearly showed the existence of three characteristic branches attributed to the dehydration, degradation and combustion processes, respectively, without noticable changes in mineral phase. The isothermal predictions of bone combustion process, at four different temperatures (T(iso) = 200, 300, 400 and 450 degrees C) were established in this paper. It was concluded that the shapes of the isothermal conversion curves at lower temperatures (200-300 degrees C) were similar, whereas became more complex with further temperature increase due to organic phase degradation. (C) 2009 Elsevier B.V. All rights reserved.",
journal = "Thermochimica Acta",
title = "The non-isothermal thermogravimetric tests of animal bones combustion. Part. I. Kinetic analysis",
volume = "495",
number = "1-2",
pages = "129-138",
doi = "10.1016/j.tca.2009.06.016"
}
Janković, B. Ž., Kolar-Anic, L., Smičiklas, I. D., Dimović, S.,& Arandelovic, D. (2009). The non-isothermal thermogravimetric tests of animal bones combustion. Part. I. Kinetic analysis.
Thermochimica Acta, 495(1-2), 129-138.
https://doi.org/10.1016/j.tca.2009.06.016
Janković BŽ, Kolar-Anic L, Smičiklas ID, Dimović S, Arandelovic D. The non-isothermal thermogravimetric tests of animal bones combustion. Part. I. Kinetic analysis. Thermochimica Acta. 2009;495(1-2):129-138
Janković Bojan Ž., Kolar-Anic Ljiljana, Smičiklas Ivana D., Dimović Slavko, Arandelovic Dragana, "The non-isothermal thermogravimetric tests of animal bones combustion. Part. I. Kinetic analysis" Thermochimica Acta, 495, no. 1-2 (2009):129-138,
https://doi.org/10.1016/j.tca.2009.06.016 .
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Predictive Modeling of the Hypothalamic-Pituitary-Adrenal (HPA) Function. Dynamic Systems Theory Approach by Stoichiometric Network Analysis and Quenching Small Amplitude Oscillations

Jelic, Smiljana; Cupic, Zeljko; Kolar-Anic, Ljiljana; Vukojevic, Vladana

(2009)

TY  - JOUR
AU  - Jelic, Smiljana
AU  - Cupic, Zeljko
AU  - Kolar-Anic, Ljiljana
AU  - Vukojevic, Vladana
PY  - 2009
UR  - http://vinar.vin.bg.ac.rs/handle/123456789/3974
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
ER  - 
@article{
author = "Jelic, Smiljana and Cupic, Zeljko and Kolar-Anic, Ljiljana and Vukojevic, Vladana",
year = "2009",
url = "http://vinar.vin.bg.ac.rs/handle/123456789/3974",
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"
}
Jelic, S., Cupic, Z., Kolar-Anic, L.,& Vukojevic, V. (2009). Predictive Modeling of the Hypothalamic-Pituitary-Adrenal (HPA) Function. Dynamic Systems Theory Approach by Stoichiometric Network Analysis and Quenching Small Amplitude Oscillations.
International Journal of Nonlinear Sciences and Numerical Simulation, 10(11-12), 1451-1472.
Jelic S, Cupic Z, Kolar-Anic L, Vukojevic V. Predictive Modeling of the Hypothalamic-Pituitary-Adrenal (HPA) Function. Dynamic Systems Theory Approach by Stoichiometric Network Analysis and Quenching Small Amplitude Oscillations. International Journal of Nonlinear Sciences and Numerical Simulation. 2009;10(11-12):1451-1472
Jelic Smiljana, Cupic Zeljko, Kolar-Anic Ljiljana, Vukojevic Vladana, "Predictive Modeling of the Hypothalamic-Pituitary-Adrenal (HPA) Function. Dynamic Systems Theory Approach by Stoichiometric Network Analysis and Quenching Small Amplitude Oscillations" International Journal of Nonlinear Sciences and Numerical Simulation, 10, no. 11-12 (2009):1451-1472
11