FIELD OF RESEARCH / NAME OF RESEARCH GROUP

Nonlinear Dynamics Group

SHORT DESCRIPTION OF RESEARCH

We know today that our world, including ourselves, is the result of the self-organisation of nonlinear systems far-away from equilibrium. Predicting the behaviour of such systems in creating new dynamic structures (from monostable through oscillatory to chaotic), is possible only with the aid of modelling. Thus, research encompassed by the Nonlinear Dynamics Group of the Faculty of Physical Chemistry focuses on the study of dynamics of complex nonlinear reaction systems – chemical, physicochemical, and biochemical. Employing experiments under closed and open reactor conditions (sometimes realized in the presence of microwaves, ultrasonic or magnetic fields), modelling and numerical simulations, the Group investigates numerous dynamic states arising in reaction systems, and strives at harnessing the potential of such results for further applications.

In particular, the Group’s experimental work includes the study of dynamic states occurring under various conditions in the well-characterized oscillatory reactions: predominantly in the Bray-Liebhafsky, but also in the Belousov-Zhabotinsky and Briggs-Rauscher reaction. Systematically testing these model systems under different conditions (open/closed reactor; different external conditions such as temperature, strength of the electromagnetic or ultrasonic field; different initial concentrations of the reaction mixture species; effects of external perturbators such as biological metabolites or drugs), the Group has succeeded in characterising various non-equilibrium dynamic states (bistability, simple periodic oscillations, mixed-mode oscillations, chaotic states), the bifurcations between them, as well as their global time evolution. Building on these investigations and their generalisation to other nonlinear reaction systems, the Group has been able to suggest the mechanisms underlying feedback and complex nonlinear relations in non-equilibrium systems. Additionally, using oscillatory reactions as an analytical matrix, the Group has made a significant contribution to the development of methods for quantitative analysis of various substances and pharmaceuticals, including biological metabolites and drugs.

Exploiting the experimental results, the Group also performs modelling of mechanisms and numerical simulations of oscillatory systems, their stability analysis, bifurcation analysis, and response analysis to different perturbators. The Group has made a particular contribution to the advancement of the Stoichiometric Network Analysis (SNA), an important mathematical method for stability analysis of reaction models whose reaction rates are represented by power functions of their chemical species’ concentrations. The Group is also involved in the model development and numerical simulations of physiological systems, primarily of the neuroendocrine hypothalamic-pituitary-adrenal (HPA) axis. These models can be further utilised for studying deregulated dynamic states of this neuroendocrine system arising due to psychogenic stress, or changes in cholesterol, alcohol and testosterone blood levels.


MEMBERS OF THE RESEARCH GROUP

  • Dr Ljiljana Kolar-Anić, professor emeritus
  • Dr Dragomir Stanisavljev, full professor
  • Dr Maja Panjako (Pagnacco, née Milenković), research associate
  • Dr Stevan Maćešić, research associate
  • Dr Jelena Maksimović, junior researcher
  • Dr Ana Stanojević, teaching assistant and junior researcher
  • MSc Kristina Stevanović, junior researcher
  • Dr Vladimir Marković, teaching assistant and research associate

LIST OF AVAILABLE RESEARCH EQUIPMENT

  • Diode array spectrophotometer with stopped flow accessory

  • Continuous stirred tank reactor with electrochemical monitoring system


COOPERATION AND PROJECTS

Partner Institutions

  • Institute of Chemistry, Technology and Metallurgy (IHTM), University of Belgrade, Serbia
  • Faculty of Pharmacy, University of Belgrade, Serbia
  • Bioengineering Research and Development Center BIOIRC doo, Kragujevac, Serbia
  • Institute for General and Physical Chemistry, Belgrade, Serbia
  • Karolinska Institutet, Sweden
  • School of Engineering, Newcastle University, United Kingdom

National projects

  • “Dynamics of nonlinear physicochemical and biochemical systems with modeling and predicting of their behavior under non-equilibrium conditions”, OI-172015, Ministry of Education, Science and Technological Development, Faculty of Physical Chemistry, University of Belgrade, Serbia

International projects

  • EPSRC Healthcare Technologies Impact Fellowships EP / N033655 / 1
  • ” Personalized Pulsatile Materials (PPM) ”, Newcastle Univesrsity, United Kingdom

PUBLICATIONS

Monographs, book chapters

  1. Ljiljana Kolar-Anić, Slobodan Anić, Željko Čupić, Ana Ivanović-Šašić, Nataša Pejić, Slavica Blagojević, Vladana Vukojević, Chapter 23 Oscillating Reactions, in Encyclopedia of Physical Organic Chemistry, 6 Volume Set, Zerong Wang (Editor), Uta Wille (Associate Editor), Eusebio Juaristi (Associate Editor), ISBN: 978-1-118-47045-9, Volume 2, Part 2 Organic Reactions and Mechanisms, p.p. 1127-1222. (February 2017) http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1118470451.html#
  2. Željko Čupić, Vladimir Marković, Ana Ivanović, Ljiljana Kolar-Anić, Modeling of the Complex Nonlinear Processes: Determination of the Instability Region by the Stoichiometric Network Analysis, in: Christopher R. Brennan, Ed. Mathematical Modelling, Nova Science Publishers Inc., New York, 2013, pp. 111-178, (ISBN: 978-1-61209-651-3)

Papers published in peer-reviewed international journals

  1. I. N. Bubanja, T. Bánsági Jr. and A. F. Taylor, KINETICS OF THE UREA–UREASE CLOCK REACTION WITH UREASE IMMOBILIZED IN HYDROGEL BEADS, Reaction Kinetics, Mechanisms and Catalysis, (2017) DOI: 10.1007/s11144-017-1296-6 (in press)
  2. Maja C. Pagnacco, Jelena P. Maksimović, Bojan Ž. Janković, ANALYSIS OF TRANSITION FROM LOW TO HIGH IODIDE AND IODINE STATE IN THE BRIGGS-RAUSCHER OSCILLATORY REACTION CONTAINING MALONIC ACID USING KOLMOGOROV-JOHNSON-MEHL-AVRAMI (KJMA) THEORY, Reaction Kinetics, Mechanisms and Catalysis (2017), DOI: 10.1007/s11144-017-1288-6 (in press)
  3. A. Stanojević, V. M. Marković, S. Maćešić, Lj. Kolar-Anić, V. Vukojević, KINETIC MODELLING OF TESTOSTERONE-RELATED DIFFERENCES IN THE HYPOTHALAMIC–PITUITARY–ADRENAL AXIS RESPONSE TO STRESS”, Reaction Kinetics, Mechanisms and Catalysis (2017). https://doi.org/10.1007/s11144-017-1315-7 (in press)
  4. I. N. Bubanja, M. C. Pagnacco, J. P. Maksimović, K. Stevanović and D. Stanisavljev, DIFFERENT INFLUENCES OF ADRENALINE ON THE BRAY-LIEBHAFSKY AND BRIGGS-RAUSCHER IODATE BASED OSCILLATING REACTIONS, Reaction Kinetics, Mechanisms and Catalysis, (2017) DOI: 10.1007/s11144-017-1305-9 (in press)
  5. M. C. Pagnacco, M. D. Mojović, A. Popović-Bijelić, A. K. Horvath, INVESTIGATION OF THE HALOGENATE-HYDROGEN PEROXIDE REACTIONS USING THE ELECTRON PARAMAGNETIC RESONANCE SPIN TRAPPING TECHNIQUE, J. Phys. Chem. A, 121, (2017) 3207-3212.
  6. D. Stanisavljev, G. Gojgić-Cvijović, I. N. Bubanja, SCRUTINIZING MICROWAVE EFFECTS ON GLUCOSE UPTAKE IN YEAST CELLS, European Biophysics Journal, 46 (2017) 25–31.
  7. Kristina Z. Stevanovic, Itana Nuša M. Bubanja, Dragomir R. Stanisavljev, DOMINATION OF THERMODYNAMICALLY DEMANDING OXIDATIVE PROCESSES IN REACTION OF IODINE WITH HYDROGEN PEROXIDE, Chemical Physics Letters, 684 (2017) 257–261.
  8. A. Stanojević, V. M. Marković, Ž. Čupić, V. Vukojević, Ljiljana Kolar-Anić, MODELLING OF THE HYPOTHALAMIC-PITUITARY-ADRENAL AXIS PERTURBATIONS BY EXTERNALLY INDUCED CHOLESTEROL PULSES OF FINITE DURATION AND WITH ASYMMETRICALLY DISTRIBUTED CONCENTRATION PROFILE, Russian Journal of Physical Chemistry A, 91 (2017) 112-119. doi: 10.1134/S0036024417130027
  9. Ž. Čupić, A. Stanojević, V. M. Marković, Lj. Kolar-Anić, L. Terenius, V. Vukojević, THE HPA AXIS AND ETHANOL: A SYNTHESIS OF MATHEMATICAL MODELLING AND EXPERIMENTAL OBSERVATIONS, Addiction Biology, 22 (2016) 1486-1500. doi: 10.1111/adb.12409.
  10. M. R. Gizdavic-Nikolaidis, М. М. Jevremovic, М. Milenkovic, М. C. Allison, D. R. Stanisavljev, G. A. Bowmaker, and Z. D. Zujovic, HIGH YIELD AND FACILE MICROWAVE- ASSISTED SYNTHESIS OF CONDUCTIVE H2SO4 DOPED POLYANILINES, Materials Chemistry and Physics, 173 (2016) 255-261. DOI:10.1016/j.matcchemphys.2016.02.11
  11. Abulseoud Osama A, Ho Man Choi, Choi Doo-Sup, Stanojević Ana, Čupić Željko, Kolar-Anić Ljiljana, Vukojević Vladana, Corticosterone oscillations during mania induction in the lateral hypothalamic kindled rat-Experimental observations and mathematical modeling, PLoS One, 12 (2017) e0177551.
  12. I. N. Bubanja, S. Maćešić, A. Ivanović-Šašić, Ž. Čupić, S. Anić, Lj. Kolar-Anić, Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence, Physical Chemistry Chemical Physics, 18 (2016) 9770-9778. DOI: 10.1039/C6CP00759G
  13. Branislav Stanković, Željko Čupić, Stevan Maćešić, Nataša Pejić, Ljiljana Kolar-Anić, Complex bifurcations in the oscillatory reaction model, Chaos Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, 87 (2016) 84–91. doi.org/10.1016/j.chaos.2016.03.013
  14. Vladimir M. Marković, Željko Čupić, Stevan Maćešić, Ana Stanojević, Vladana Vukojević, Ljiljana Kolar-Anić, Modelling cholesterol effects on the dynamics of the hypothalamic–pituitary–adrenal (HPA) axis, Mathematical Medicine and Biology, 33 (2016) 1-28.
  15. Željko Čupić, Vladimir M. Marković, Stevan Maćešić, Ana Stanojević, Svetozar Damjanović, Vladana Vukojević, Ljiljana Kolar-Anić, Dynamic transitions in a model of the hypothalamic-pituitary-adrenal (HPA) axis, Chaos, 26 (2016) 033111. doi: 10.1063/1.4944040
  16. Stevan Maćešić, Željko Čupić, Slobodan Anić, Ljiljana Kolar-Anić, Autocatalator as the source of instability in the complex non-linear neuroendocrine model, International Journal of Non-Linear Mechanics 73 (2015) 25-30. doi 10.1007/s13738-014-0447-1.
  17. Olga M. Jakšić, Danijela V. Ranđelović, Zoran S. Jakšić, Željko D. Čupić, Ljiljana Z. Kolar-Anić, Plasmonic sensors in multi-analyte environment: Rate constants and transient analysis, Chemical Engineering Research and Design, 92 (2014) 91-101.
  18. Olga M. Jakšić, Zoran Jakšić, Željko D. Čupić, Danijela V. Ranđelović, Ljiljana Z. Kolar-Anić, Fluctuations in Transient Response of Adsorption-Based Plasmonic Sensors, Sensors & Actuators: B. Chemical, 190 (2014) 419-428.
  19. Dragomir R. Stanisavljev, Zoran Velikić, Dragan S. Veselinović, Nevena V. Jacić, Maja C. Milenković, BRAY–LIEBHAFSKY OSCILLATORY REACTION IN THE RADIOFREQUENCY ELECTROMAGNETIC FIELD, Chemical Physics, 441 (2014) 1–4.
  20. Ž. Čupić, A. Ivanović-Šašić, S. Anić, B. Stanković, J. Maksimović, Lj. Kolar-Anić, G. Schmitz, Tourbillion in the Phase Space of the Bray-Liebhafsky Nonlinear Oscillatory Reaction and Related Multiple-Time-Scale Model, MATCH Commun. Math. Comput. Chem., 69 (2013) 805-830.
  21. Ž. D. Čupić, Lj. Z. Kolar-Anić, S. R. Anić, S. R. Maćešić, J. P. Maksimović, M. S. Pavlović, M. C. Milenković, I. Nuša M. Bubanja, E. Greco, S. D. Furrow and R. Cervellati, Regularity of Intermittent Bursts in Briggs-Rauscher Oscillating Systems with Phenol, Helvetica Chimica Acta, 97 (2014) 321-333
  22. N. Pejić, S. Blagojević, N. Sarap, J. Maksimović, S. Anić, Ž. Čupić, Lj. Kolar-Anić, Perturbations of the Dushman reaction with piroxicam: experimental and model calculations, Helvetica Chimica Acta., 97 (2014) 47-55, doi: 10.1002/hlca.201300109.
  23. Nataša D. Pejić, Nataša B. Sarap, Jelena P. Maksimović, Slobodan R. Anić, Ljiljana Z. Kolar-Anić, Pulse perturbation technique for determination of piroxicam in pharmaceuticals using an oscillatory reaction system, Cent. Eur. J. Chem. 11 (2013) 180-188.
  24. Nataša Pejić, Ljiljana Kolar-Anić, Jelena Maksimović, Marija Janković, Vladana Vukojević, Slobodan Anić, Dynamic transitions in the Bray–Liebhafsky oscillating reaction. Effect of hydrogen peroxide and temperature on bifurcation, Reac. Kinet. Mech. Cat, 2016 118 (1):15-26, DOI 10.1007/s11144-016-0984-y.
  25. Stevan Maćešić, Željko Čupić, Ljiljana Kolar-Anić, Bifurcation analysis of the reduced model of Bray–Liebhafsky reaction, Reac. Kinet. Mech. Cat, 118 (2016) 39-55 Erratum 57-57. DOI: 10.1007/s11144-016-1000-2
  26. Željko Čupić, Ana Ivanović-Šašić, Stevan Blagojević, Slavica Blagojević, Ljiljana Kolar-Anić, Slobodan Anić, Return maps analysis of the highly nonlinear Bray-Liebhafsky reaction model, Reac. Kinet. Mech. Cat, 118 (2016) 27-38. DOI: 10.1007/s11144-016-0998-5
  27. S. N. Blagojević, Ž. Čupić, A. Ivanović-Šašić and Lj. Kolar-Anić, Mixed-mode Oscillations and Chaos in Return Maps of an Oscillatory Chemical Reaction, Russian Journal of Physical Chemistry A, 13 (2015) 2349-2358.
  28. Stevan R. Maćešić, Željko D. Čupić, Slavica M. Blagojević, Nataša D. Pejić, Slobodan R. Anić and Ljiljana Z. Kolar-Anić, Current rates and reaction rates in the Stoichiometric Network Analysis (SNA), Open Chem. (Central European Journal of Chemistry), 13 (2015) 591–599.
  29. Olga Jakšić, Ivana Jokić, Zoran Jakšić, Željko Čupić and Ljiljana Kolar-Anić, Adsorption-induced fluctuations and noise in plasmonic metamaterial devices, Phys. Scr. T, 162 (2014) 014047
  30. S. M. Blagojević, S. R. Anić, Ž. D. Čupić, S. N. Blagojević, Lj. Z. Kolar-Anić, Numerical Evidence of Complex Nonlinear Phenomena of the Belousov-Zhabotinsky Oscillatory Reaction under Batch Conditions, Russian Journal of Physical Chemistry A, 87 (2013) 2140-2145.
  31. O. M. Jakšić, Ž. D. Čupić, Z. S. Jakšić, D. V. Ranđelović and Lj. Z. Kolar-Anić, Monolayer Gas Adsorption in Plasmonic Sensors: Comparative Analysis of Kinetic Models, Russian Journal of Physical Chemistry A, 87 (2013) 2134-2139.
  32. S. Maćešić., Ž. Čupić, Lj. Kolar-Anić, Model of the nonlinear reaction system with autocatalysis and autoinhibition: Stability of dynamic states, Hemijska industrija, 66 (2012) 637-646.
  33. N. D. Pejić, J. P. Maksimović, S. M. Blagojević, S. R. Anić, Ž. D. Čupić, Lj. Z. Kolar-Anić, Kinetic Analytical Method for Determination of Uric Acid in Human Urine using Analyte Pulse Perturbation Technique, J. Braz. Chem. Soc., 23 (2012) 1450-1459.
  34. Maja C. Milenković, Dragomir R. Stanisavljev, ROLE OF FREE RADICALS IN MODELING THE IODIDE PEROXIDE REACTION MECHANISM, The journal of physical chemistry A, 116 (2012) 5541-5548.
  35. N. Pejić, S. Anić, Lj. Kolar-Anić, Analytical Applications of Oscillatory Chemical Reactions: Determination of Some Pharmaceuticaly and Biologically Important Compounds (Review), Hemijska industrija, 66 (2012) 153-164.