European Conference on Mathematical and Theoretical Biology (ECMTB 2026)

Reaction networks: Mathematical structures and concrete biochemical systems

Not scheduled

20m

University of Graz

Minisymposium Systems Biology and Biochemical Networks Reaction networks: Mathematical structures and concrete biochemical systems

Speakers

Abhishek Deshpande (International Institute of Information Technology, Hyderabad) Alan Rendall (Johannes Gutenberg University Mainz) Carsten Conradi (Hochschule für Technik und Wirtschaft Berlin) Gábor Szederkényi (Pázmány Péter Catholic University Budapest) János Tóth (Eötvös Loránd University Budapest) Maya Mincheva (Northern Illinois University) Máté László Telek (Budapest University of Technology) Richard Golnik (University Leipzig)

Description

Mathematical aspects in the analysis of reaction networks range from graph theory and dynamical systems (ODEs and PDEs) to positive algebraic geometry and inverse problems. In recent years, substantial progress has been made in the mathematics of reaction networks, and the proposed minisymposium will bring together leading experts to present both theoretical advances and analyses of concrete biochemical systems.

Dynamical systems arising from reaction network models are typically nonlinear and involve unknown parameters. This often makes direct simulation challenging and highlights the need for structural and qualitative approaches. A central goal is therefore to understand how different parameter regimes give rise to qualitatively distinct dynamical behavior, as well as to identify structural properties of reaction networks that are independent of parameter values.

Topics of the minisymposium include species extinction \cite{Agarwal2026}, delay systems \cite{Vaghy2024}, and the identification of autocatalytic subnetworks \cite{Golnik2025}. Applications range from Turing instabilities in distributive double phosphorylation systems \cite{Conradi2024} to classical models such as the Selkov model of glycolysis \cite{Brechmann2018}.

Bibliography

@misc{Agarwal2026,
title={Extinction in Reaction Network Models},
author={Pranav Agarwal and Gheorghe Craciun and Abhishek Deshpande and Jiaxin Jin},
year={2026},
eprint={2601.08801},
archivePrefix={arXiv},
primaryClass={math.DS},
url={https://arxiv.org/abs/2601.08801}
}

@article{Brechmann2018,
title = {Dynamics of the Selkov oscillator},
volume = {306},
ISSN = {0025-5564},
url = {http://dx.doi.org/10.1016/j.mbs.2018.09.012},
DOI = {10.1016/j.mbs.2018.09.012},
journal = {Mathematical Biosciences},
publisher = {Elsevier BV},
author = {Brechmann, Pia and Rendall, Alan D.},
year = {2018},
month = dec,
pages = {152–159}
}

@article{Conradi2024,
title = {In distributive phosphorylation catalytic constants enable non-trivial dynamics},
volume = {89},
ISSN = {1432-1416},
url = {http://dx.doi.org/10.1007/s00285-024-02114-8},
DOI = {10.1007/s00285-024-02114-8},
number = {2},
journal = {Journal of Mathematical Biology},
publisher = {Springer Science and Business Media LLC},
author = {Conradi, Carsten and Mincheva, Maya},
year = {2024},
month = jun
}

@misc{Golnik2025,
title={Enumeration of Autocatalytic Subsystems in Large Chemical Reaction Networks},
author={Richard Golnik and Thomas Gatter and Peter F. Stadler and Nicola Vassena},
year={2025},
eprint={2511.18883},
archivePrefix={arXiv},
primaryClass={q-bio.MN},
url={https://arxiv.org/abs/2511.18883}
}

@article{Vaghy2024,
title = {Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics},
volume = {35},
ISSN = {1432-1467},
url = {http://dx.doi.org/10.1007/s00332-024-10115-6},
DOI = {10.1007/s00332-024-10115-6},
number = {1},
journal = {Journal of Nonlinear Science},
publisher = {Springer Science and Business Media LLC},
author = {Vághy, Mihály A. and Szederkényi, Gábor},
year = {2024},
month = nov
}