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Transient dynamics in electronic neuron-like circuits in application to modeling epileptic seizures

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Abstract

In complex systems like neural circuits, transient dynamics can stay of a large interest, being a promising explanation of the observed biological phenomena. In particular, spike-wave discharges (SWDs, the main encephalographic manifestation of absence seizures) were recently considered as possible long transient processes, since signal analysis showed no special mechanism of their termination while a number of initiation mechanisms were described in the literature. Here, we construct the ensemble of eight mesoscale models (electronic circuits) different by connectivity matrix and show that they indeed demonstrate long quasiregular transient dynamics in a reasonable area of parameters. All models from the ensemble were networks consisting of 14 electronic FitzHugh–Nagumo neuron oscillators connected based on anatomical laws for thalamocortical system. Most of networks were able to demonstrate epiletiform-like activity of reasonable duration in response to short in time external driving which is one of known mechanisms for absence epilepsy. The distribution of model SWDs by length was comparable with what is known for animal models. The proposed models are of fundamental interest being first known electronic model of absence seizures. They can be also used for testing and validating approaches for directed connectivity analysis which are very essential in brain study.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

We devote this study to the memory of professor Evgeny P. Seleznev, who left this world in September 2021. He was outstanding experimenter and has supported and inspired us for many years.

Funding

This work was supported by Russian Science Foundation, Grant No. 19-72-10030.

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Authors and Affiliations

  1. Saratov Branch of the Kotel’nikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, 38, Zelyonaya str., Saratov, Russia, 410019

    Nikita M. Egorov, Danil D. Kulminskiy, Ilya V. Sysoev, Vladimir I. Ponomarenko & Marina V. Sysoeva

  2. Yuri Gagarin State Technical University of Saratov, 77, Politekhnicheskaya str., Saratov, Russia, 410054

    Nikita M. Egorov & Marina V. Sysoeva

  3. Sirius University of Science and Technology, 1 Olympic Ave, Sochi, Russia, 354340

    Danil D. Kulminskiy

  4. Saratov State University, 83, Astrakhanskaya str., Saratov, Russia, 410012

    Ilya V. Sysoev & Vladimir I. Ponomarenko

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  1. Nikita M. Egorov
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  4. Vladimir I. Ponomarenko
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Egorov, N.M., Kulminskiy, D.D., Sysoev, I.V. et al. Transient dynamics in electronic neuron-like circuits in application to modeling epileptic seizures. Nonlinear Dyn 108, 4231–4242 (2022). https://doi.org/10.1007/s11071-022-07379-6

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