Ivanovic-Sasic, Ana

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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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