TY  - JOUR
AU  - Maćešić, Stevan
AU  - Čupić, Željko
AU  - Ivanović-Šašic, Ana
AU  - Anić, Slobodan
AU  - Radenković, Mirjana
AU  - Pejić, Nataša
AU  - Kolar-Anić, Ljiljana
PY  - 2018
UR  - https://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 = "Maćešić, Stevan and Čupić, Željko and Ivanović-Šašic, Ana and Anić, Slobodan and Radenković, Mirjana and Pejić, Nataša and Kolar-Anić, Ljiljana",
year = "2018",
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"
}

Maćešić, S., Čupić, Ž., Ivanović-Šašic, A., Anić, S., Radenković, M., Pejić, N.,& Kolar-Anić, L.. (2018). Bifurcation analysis: a tool for determining model parameters of the considered process. in Reaction Kinetics, Mechanisms and Catalysis, 123(1), 31-45.
https://doi.org/10.1007/s11144-017-1324-6

Maćešić S, Čupić Ž, Ivanović-Šašic A, Anić S, Radenković M, Pejić N, Kolar-Anić L. Bifurcation analysis: a tool for determining model parameters of the considered process. in Reaction Kinetics, Mechanisms and Catalysis. 2018;123(1):31-45.
doi:10.1007/s11144-017-1324-6 .

Maćešić, Stevan, Čupić, Željko, Ivanović-Šašic, Ana, Anić, Slobodan, Radenković, Mirjana, Pejić, Nataša, Kolar-Anić, Ljiljana, "Bifurcation analysis: a tool for determining model parameters of the considered process" in Reaction Kinetics, Mechanisms and Catalysis, 123, no. 1 (2018):31-45,
https://doi.org/10.1007/s11144-017-1324-6 . .

TY  - JOUR
AU  - Pejić, Nataša D.
AU  - Blagojević, Slavica M.
AU  - Sarap, Nataša
AU  - Maksimović, Jelena P.
AU  - Anić, SlobodanR.
AU  - Čupić, Željko
AU  - Kolar-Anić, Ljiljana Z.
PY  - 2014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5870
AB  - Perturbation of the BrayLiebhafsky non-oscillating subsystem (mixture of KIO3 and H2SO4), i.e., Dushman reaction (DR), by piroxicam (PX), was observed in an open reactor, i.e., in the continuously fed well-stirred tank reactor (CSTR). Monitoring the response of DR to perturbations by different concentrations of PX allows developing a simple procedure for quantitative determination of this analyte in both bulk drug and pharmaceutical preparation (injection). A tentative perturbation mechanism of PX action on the DR matrix, based on a kinetic scheme that was suggested by Agreda etal., is proposed. The PX reactivity in DR has been generally related to the reaction of PX with hypoiodous acid (HIO) present in the matrix.
T2  - Helvetica Chimica Acta
T1  - Perturbations of the Dushman Reaction with Piroxicam: Experimental and Model Calculations
VL  - 97
IS  - 1
SP  - 47
EP  - 55
DO  - 10.1002/hlca.201300109
ER  - 

@article{
author = "Pejić, Nataša D. and Blagojević, Slavica M. and Sarap, Nataša and Maksimović, Jelena P. and Anić, SlobodanR. and Čupić, Željko and Kolar-Anić, Ljiljana Z.",
year = "2014",
abstract = "Perturbation of the BrayLiebhafsky non-oscillating subsystem (mixture of KIO3 and H2SO4), i.e., Dushman reaction (DR), by piroxicam (PX), was observed in an open reactor, i.e., in the continuously fed well-stirred tank reactor (CSTR). Monitoring the response of DR to perturbations by different concentrations of PX allows developing a simple procedure for quantitative determination of this analyte in both bulk drug and pharmaceutical preparation (injection). A tentative perturbation mechanism of PX action on the DR matrix, based on a kinetic scheme that was suggested by Agreda etal., is proposed. The PX reactivity in DR has been generally related to the reaction of PX with hypoiodous acid (HIO) present in the matrix.",
journal = "Helvetica Chimica Acta",
title = "Perturbations of the Dushman Reaction with Piroxicam: Experimental and Model Calculations",
volume = "97",
number = "1",
pages = "47-55",
doi = "10.1002/hlca.201300109"
}

Pejić, N. D., Blagojević, S. M., Sarap, N., Maksimović, J. P., Anić, SlobodanR., Čupić, Ž.,& Kolar-Anić, L. Z.. (2014). Perturbations of the Dushman Reaction with Piroxicam: Experimental and Model Calculations. in Helvetica Chimica Acta, 97(1), 47-55.
https://doi.org/10.1002/hlca.201300109

Pejić ND, Blagojević SM, Sarap N, Maksimović JP, Anić S, Čupić Ž, Kolar-Anić LZ. Perturbations of the Dushman Reaction with Piroxicam: Experimental and Model Calculations. in Helvetica Chimica Acta. 2014;97(1):47-55.
doi:10.1002/hlca.201300109 .

Pejić, Nataša D., Blagojević, Slavica M., Sarap, Nataša, Maksimović, Jelena P., Anić, SlobodanR., Čupić, Željko, Kolar-Anić, Ljiljana Z., "Perturbations of the Dushman Reaction with Piroxicam: Experimental and Model Calculations" in Helvetica Chimica Acta, 97, no. 1 (2014):47-55,
https://doi.org/10.1002/hlca.201300109 . .

TY  - JOUR
AU  - Jelić, Smiljana
AU  - Čupić, Željko
AU  - Kolar-Anić, Ljiljana
AU  - Vukojević, Vladana
PY  - 2009
UR  - https://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
UR  - https://hdl.handle.net/21.15107/rcub_vinar_3974
ER  - 

@article{
author = "Jelić, Smiljana and Čupić, Željko and Kolar-Anić, Ljiljana and Vukojević, Vladana",
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_vinar_3974"
}

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_vinar_3974

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_vinar_3974 .

Jelić, Smiljana, Čupić, Željko, Kolar-Anić, Ljiljana, Vukojević, Vladana, "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_vinar_3974 .

TY  - JOUR
AU  - Jelić, Smiljana
AU  - Cupic, Z
AU  - Kolar-Anic, L
PY  - 2005
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2943
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-pitutary-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. (c) 2005 Elsevier Inc. All rights reserved.
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 Cupic, Z and Kolar-Anic, L",
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-pitutary-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. (c) 2005 Elsevier Inc. All rights reserved.",
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., Cupic, Z.,& Kolar-Anic, L.. (2005). Mathematical modeling of the hypothalamic-pituitary-adrenal system activity. in Mathematical Biosciences, 197(2), 173-187.
https://doi.org/10.1016/j.mbs.2005.06.006

Jelić S, Cupic Z, Kolar-Anic 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, Cupic, Z, Kolar-Anic, L, "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 . .