Bifurcation analysis of the reduced model of the Bray-Liebhafsky reaction
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 occu...r. 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.
Keywords:
Bifurcation analysis / Andronov-Hopf bifurcation / Bray-Liebhafsky oscillatory reaction / Stoichiometric network analysis (SNA) / Steady state stabilitySource:
Reaction Kinetics, Mechanisms and Catalysis, 2016, 118, 1, 39-55Publisher:
- Springer Netherlands
Funding / projects:
- Dynamics of nonlinear physicochemical and biochemical systems with modeling and predicting of their behavior under nonequilibrium conditions (RS-MESTD-Basic Research (BR or ON)-172015)
- Nanostructured Functional and Composite Materials in Catalytic and Sorption Processes (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45001)
DOI: 10.1007/s11144-016-1000-2
ISSN: 1878-5190
WoS: 000376107700005
Scopus: 2-s2.0-84984593105
Collections
Institution/Community
IHTMTY - 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 . .