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Regular and Chaotic Dynamics, 2024, Volume 29, Issue 1, paper published in the English version journal
DOI: https://doi.org/10.1134/S156035472401012X
(Mi rcd1253)
 

Special Issue: In Honor of Vladimir Belykh and Sergey Gonchenko Guest Editors: Alexey Kazakov, Vladimir Nekorkin, and Dmitry Turaev

Universal Transient Dynamics in Oscillatory Network Models of Epileptic Seizures

Anton A. Kapustnikovab, Marina V. Sysoevaac, Ilya V. Sysoevba

a Saratov Branch of Kotel’nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, ul. Zelyonaya 38, 410019 Saratov, Russia
b Saratov State University, ul. Astrakhanskaya 83, 410012 Saratov, Russia
c Yuri Gagarin State Technical University of Saratov, ul. Politekhnicheskaya 77, 410056 Saratov, Russia
Citations (1)
References:
Abstract: Discharges of different epilepsies are characterized by different signal shape and duration. The authors adhere to the hypothesis that spike-wave discharges are long transient processes rather than attractors. This helps to explain some experimentally observed properties of discharges, including the absence of a special termination mechanism and quasi-regularity. Analytical approaches mostly cannot be applied to studying transient dynamics in large networks. Therefore, to test the observed phenomena for universality one has to show that the same results can be achieved using different model types for nodes and different connectivity terms. Here, we study a class of simple network models of a thalamocortical system and show that for the same connectivity matrices long, but finite in time quasi-regular processes mimicking epileptic spike-wave discharges can be found using nodes described by three neuron models: FitzHugh – Nagumo, Morris – Lecar and Hodgkin – Huxley. This result takes place both for linear and nonlinear sigmoid coupling.
Keywords: transient process, epilepsy, mathematical modeling, complex network, thalamocortical system
Funding agency Grant number
Russian Science Foundation 19-72-10030
This research was funded by the Russian Science Foundation, Grant No. 19-72-10030-P https://rscf.ru/project/19-72-10030/.
Received: 17.06.2023
Accepted: 11.01.2024
Document Type: Article
MSC: 34C10, 37N25, 92-08
Language: English
Citation: Anton A. Kapustnikov, Marina V. Sysoeva, Ilya V. Sysoev
Citation in format AMSBIB
\Bibitem{KapSysSys24}
\by Anton A. Kapustnikov, Marina V. Sysoeva, Ilya V. Sysoev
\mathnet{http://mi.mathnet.ru/rcd1253}
\crossref{https://doi.org/10.1134/S156035472401012X}
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    References:22
     
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