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Approximation of delayed chemical reaction networks

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Abstract

Chemical reaction networks with arbitrary constant delays assigned to the reactions are studied in this paper. The delayed models are approximated using the chain method known from the theory of differential equations. It is shown that important structural properties (such as reversibility and deficiency) of the approximated models are preserved in the approximating reaction networks. Moreover, the approximation gives rise to a Lyapunov–Krasovskii functional candidate for the original delayed systems that can be efficiently used for stability analysis.

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Acknowledgements

This research has been supported by the Hungarian National Research, Development and Innovation Office - NKFIH through the Grant K115694. The work has also been supported by the European Union, co-financed by the European Social Fund through the Grant EFOP-3.6.3-VEKOP-16-2017-00002.

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Authors and Affiliations

  1. Process Control Research Group, Systems and Control Laboratory, Institute for Computer Science and Control (MTA SZTAKI), Hungarian Academy of Sciences, Kende u. 13-17, Budapest, 1111, Hungary

    György Lipták, Katalin M. Hangos & Gábor Szederkényi

  2. Department of Electrical Engineering and Information Systems, University of Pannonia, Egyetem u. 10, Veszprém, 8200, Hungary

    György Lipták & Katalin M. Hangos

  3. Faculty of Information Technology and Bionics, Pázmány Péter Catholic University, Práter u. 50/a, Budapest, 1083, Hungary

    Gábor Szederkényi

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  1. György Lipták
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  2. Katalin M. Hangos
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  3. Gábor Szederkényi
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Correspondence to Gábor Szederkényi.

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Lipták, G., Hangos, K.M. & Szederkényi, G. Approximation of delayed chemical reaction networks. Reac Kinet Mech Cat 123, 403–419 (2018). https://doi.org/10.1007/s11144-017-1341-5

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  • DOI: https://doi.org/10.1007/s11144-017-1341-5

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