Transient dynamics in a class of mathematical models of epileptic seizures

A new approach to modeling transitions to epileptic state and back in the brain thalamocortical system is proposed. Since no specific mechanism for termination of spike-wave discharges (SWDs, the main encephalographic manifestation of absence seizures) was found based on signal analysis, we consider...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2022-06, Vol.109, p.106284, Article 106284
Main Authors: Kapustnikov, Anton A., Sysoeva, Marina V., Sysoev, Ilya V.
Format: Article
Language:English
Subjects:
Complex network
Convulsions & seizures
Epilepsy
Fluid dynamics
Mathematical modeling
Mathematical models
Neurons
Seizures
Signal analysis
Thalamocortical system
Transient process
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Summary:A new approach to modeling transitions to epileptic state and back in the brain thalamocortical system is proposed. Since no specific mechanism for termination of spike-wave discharges (SWDs, the main encephalographic manifestation of absence seizures) was found based on signal analysis, we consider SWDs to be long transients after external stimulus. We constructed mesoscale models — ensembles of FitzHugh–Nagumo neurons connected based on anatomical laws for thalamocortical system. In a class of 88 connectivity matrices for models consisting of 14 nodes we showed that the long quasiregular mostly synchronous transients are typical in some parameter region. •A class of network models of thalamocortical systems was proposed.•Long regular transients were detected in this model in response to short pulse driving.•The bifurcation mechanism leading to transient dynamics was studied numerically.•The obtained transients occurred to be typical for most of 88 models from the class.•These transients can be considered as models for spike-wave discharges at absence epilepsy.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2022.106284