Paper
4 May 2021 A class of simple networks for modeling spike-wave discharges
Anton A. Kapustnikov, Marina V. Sysoeva, Ilya V. Sysoev
Author Affiliations +
Abstract
Absence epilepsy is a widespread among children and adolescents form of disease, manifestating itself on EEG with spike-wave discharges (SWDs). It was shown, just as a proof of concept, that SWDs can be considered as a long transient process rather than attractor in a phase space. In this work, we investigate this hypothesis in detail, studying a small class of simple mathematical models consisting of 14 identical FitzHugh–Nagumo neurons, organized in accordance with modern concepts of the thalamo-cortical network of the brain. Some models belonging to the class studied demonstrate rather long transient processes in response to a short in time external driving from an individual neuron modeling the trigeminal nerve.
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Anton A. Kapustnikov, Marina V. Sysoeva, and Ilya V. Sysoev "A class of simple networks for modeling spike-wave discharges", Proc. SPIE 11847, Saratov Fall Meeting 2020: Computations and Data Analysis: from Molecular Processes to Brain Functions, 1184703 (4 May 2021); https://doi.org/10.1117/12.2589493
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