Transient dynamics in a class of mathematical models of epileptic seizures

摘要

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. (C) 2022 Elsevier B.V. All rights reserved.