Formal reaction kinetics and related questions

2025/26, 2nd (spring) semester

Our online seminar on Formal Reaction Kinetics and Related Questions will continue using Zoom. You can access the seminar through the following invite link.

KEY DETAILS

Starting Time: The seminar will commence at (exactly :)) 17:00 CET. CHECK THE TIME ZONE!

Duration: Each talk is allocated 50-60 minutes, allowing time for questions from the audience.

Testing the System: If you are scheduled to speak and would like to test the system beforehand, please feel free to contact János: jtoth at math dot bme dot hu. If you haven't already done so, please send us the title and abstract of your talk.

Recording: In all the cases when the speaker is not against it, we try record the talk and put it onto Youtube.

Conferences can be found here.

Our seminar aims not only to disseminate new research findings but also to foster a collaborative learning environment, which includes engaging with students and occasional participants with varying levels of preliminary knowledge. Questions during the talks are welcome. Also, we would like to encourage you to propose/offer topics, and speakers, including yourselves.

Finally, we mention that the present seminar may be considered as the dissemination part of the Dynamical Systems and Reaction Kinetics project, see DSYREKI. 

The organizers: Gábor (Szederkényi), János (Tóth), Balázs (Boros)

TEMPORARY!! PLANS

The list of more or less confirmed speakers for the next semester is as follows, with the schedule being continuously updated.

List of talks in Spring 2026

List of talks from 2019 to 2025

The publications in Hungarian (including my Hungarian books) can be found on the Hungarian part.

My publications in English can be found in Google Scholar Citations List

Papers found by MathSciNet

Next, my English books follow.

Reaction Kinetics Tóth, J., Nagy A. L., Papp, D.: Reaction Kinetics: Exercises, Programs and Theorems. Mathematica for Deterministic and Stochastic Kinetics, Springer Nature, New York, 2018.

1. Introduction.
2. Preparations.
3. Graphs of reactions.
4. Mass conservation.
5. Decomposition of Reactions.
6. The induced kinetic differential equation.
7. Stationary points.
8. Time-dependent behavior of the concentrations.
9. Approximation of the models
10. Stochastic models
11. Inverse problems
12. Past, presentand future programs for reaction kinetics
13. Mathematical background
14. Solutions
Glossary
Index
Reaction Kinetics Érdi, P., Tóth, J.: Mathematical Models of Chemical Reactions. Theory and Applications of Deterministic and Stochastic Models, Manchester University Press, Manchester and Princeton University Press, Princeton, 1989.

1. Chemical kinetics: a prototype of nonlinear science.
2. The structure of kinetic models
3. Stoichiometry: the algebraic structure of complex chemical reactions.
4. Mass action kinetics deterministic models
5. Continuous time discrete state stochastic models
6. Chemical reactions accompanied by diffusion.
7. Applications
References (32 pages). Index.

The title of my books in Hungarian.

  • Tóth, J.; Simon, P.: Differential equations. Introduction into the theory and its applications (Differenciálegyenletek. Bevezetés az eléletbe és az alkalmazásokba), TYPOTEX, Budapest, 2005. 2009: Second edition, 2018: Third edition.
  • Tóth, J., Simon, L. P., Csikja R.: Problem book on differential equations (Differenciálegyenletek. Példatár), Budapest, 2013.
  • Csermely, P., Gergely, P., Koltay, T., Tóth, J.: Kutatás és közlés a természettudományokban(Research and Publication in Science), Osiris, Budapest, 1999.
  • Szili, L., Tóth, J.: Mathematics and Mathematica (Matematika és Mathematica), ELTE Eötvös Kiadó, Budapest, 1996.

    •  
    Tóth, János CV
    PhD (candidate of the mathematical science)
    Department of Analysis and Operations Research
    Institute of Mathematics
    Faculty of Sciences
    Budapest University of Technology and Economics
    Budapest, Műegyetem rkp. 3-9.
    P. O. Box 91, H-1521 HUNGARY
    Tel.: (36-1)463-2314 or (36-1)463-2475
    Home: (36-1)242-06-40
    Fax: (36-1)463-3172
    E-mail: jtoth at math dot bme dot hu

    Scientific activity

    • The mathematical theory of formal reaction kinetics involves nonlinear differential equations and Markovian jump processes. The theory went through a kind of explosion recently. A program package has been written in Mathematica, which treats the reactions also from a structural point of view. Beyond the chemical applicability of our codes and theoretical results, they can be used in other fields such as in Systems Biology, Atmospheric Chemistry, Combustion etc. Some details.
    • Symbolic, qualitative and numerical analysis of models of formal reaction kinetics
    • Relations between qualitative properties of deterministic and stochastic models of reaction kinetics and the algebraic and graph theoretic properties of the underlying mechanism
    • Reduction of the number of variables (lumping, dimension reduction) in continuous time deterministic and stochastic models with special reference to the models of chemical reaction kinetics
    • Algebraic and graph theoretic questions of stoichiometry
    • Applications of Mathematica (Wolfram language) in teaching and research
    • Emergence of stationary spatial patterns via Turing instability

    Topics for BSc/MSc/PhD theses

    Qualitative and quantitative investigations of polynomial differential equations with special reference to applications in reaction kinetics, etc.

    Applications of Mathematica in one of the areas of applied calculus

    Important or favorite scientific publications by others

  • Burger, M., Field, R.: Oscillations and travelling waves in chemical systems, Wiley, New York, 1985.
  • Császár, A., Jicsinszky, L., Turányi, T.: Generation of model reactions leading to limit cycle behaviour, Reaction Kinetics and Catalysis Letters 18 (1/2), 65-71 (1981).
  • Farkas, Gy.: Local controllability of reactions, Journal of Mathematical Chemistry 24 (1) (1998), 1-14.
  • Farkas, Gy.: On local observability of reactions, Journal of Mathematical Chemistry 24 (1) (1998), 15-22.
  • Farkas, Gy.: Kinetic lumping schemes, Chemical Engineering Science 54 (1999), 3909-3915.
  • Horváth, Zsófia: Effect of lumping on controllability and observability, Journal of Mathematical Chemistry Paper Poster
  • Hoyle, M. H.: Transformations - An introduction and a bibliography, Int. Stat. Rev. 41 (2), (1973), 203-223.
  • Inselberg, A.: Don't panic ... just do it parallel! Computational Statistics 14 (1999), 53-77.
  • Kirschner, I.; Bálint, Á.; Csikja, R.; Gyarmati, B.; Balogh, A.; Mészáros, Cs.: An approximate symbolic solution for convective instability flows in vertical cylindrical tubes, Journal of Physics A, Mathematical and Theoretical 40 (2007) 9361-9369.
  • Kovács, B.: Rate based call gapping with priorities and fairness between traffic classes, IEEE Trans. Comm. Paper
  • Kovács, B.; Szalay, M.; Imre, S.: Modelling and quantitative analysis of LTRACK - A novel mobility management algorithm, Mobile Information Systems 2 (1) (2006) 21-50.
  • Kozma, R., Th.: Horosphere Packings of the (3, 3, 6) Coxeter Honeycomb in Three-Dimensional Hyperbolic Space, from The Wolfram Demonstrations Project.
  • Ladics, T.: The analysis of the splitting error for advection-reaction problems in air pollution models, Időjárás ADATOK Manuscript and figures.
  • Ladics, T.: Application of Operator Splitting to Solve Reaction Diffusion Equations, arXiv:1011.4810 Manuscript and figures.
  • Orlov, N. N., Rozonoer, L. I.: The macrodynamics of open systems and the variational principle of the local potential, J. Franklin Inst. 318(1984) 283-314 and 315-347.
  • Papp, D., Vizvári, B.: Effective solution of linear Diophantine equation systems with an application in chemistry RUTCOR Research Reports 28-2004.
  • Recski, A.: Calculus exercises with and without Mathematica, New Haven, 1995.
  • Rényi, A.: Foundations of probability, Holden-Day Inc., San Francisco, Calif., 1970. ZBL 0203.49801, MR 41:9314.
  • Scott, S. K.: Chemical Chaos, Oxford Univ. Press, 1991.
  • Molnár, Z.; Nagy, I.; Szilágyi, T.: A change of variables theorem for the multidimensional Riemann integral, Ann. Univ. Sci. Eötvös, Sectio Math. ADATOK
  • Tóth, Ágnes: Fast edge colouring of graphs, 2007 Wolfram Technology Conference.
  • Turányi, T.: Sensitivity analysis of complex kinetic systems: Tools and applications, J. Math. Chem. 5 (1990) 203-248.
  • Volpert, A. I., Hudjaev, S. I.: Analysis in classes of discontinuous functions and the equations of mathematical physics, Martinus Nijhoff Publ., Dordrecht, Boston, Lancaster, 1985.
  • Wehrl, A.: General properties of entropy, Rev. Mod. Phys. 50 (2) (1978) 221-260.
  • Zachár, A.: Comparison of transformations from nonkinetic to kinetic models, Acta Chimica Hungarica - Models in Chemistry 135 (3) (1998), 425-434.
  • Zhang, S. Y.: Bibliography on Chaos, World Scientific, Singapore, New Jersey, London, Hong Kong, 1991.

    • Important or favorite publications by others

  • Clifford Ambrose Truesdell IIIMathematical Reviews 12 p. 561: This paper gives wrong solutions to trivial problems. The basic error, however, is not new.
  • E. Hemingway: He always thought of the sea as la mar which is what people call her in Spanish when they love her. Sometimes those who love her say bad things of her but they are always said as though she were a woman. Some of the younger fishermen those who used buoys as floats for their lines and had motor-boats, bought when the shark-lovers had brought much money, spoke of her as el mar which is masculine. They spoke of her as a contestant or a place or even an enemy. But the old man always thought of her as feminine and as something that gave or withheld great favours, and if she did wild and wicked things it was because she could not help them. The moon affects her it does a woman, he thought.