title: Disinhibition-induced transitions between absence and tonic-clonic epileptic seizures.
abstract: Electrophysiological experiments have long revealed the existence of two-way transitions between absence and tonic-clonic epileptic seizures in the cerebral cortex. Based on a modified spatially-extended Taylor &Baier neural field model, we here propose a computational framework to mathematically describe the transition dynamics between these epileptic seizures. We first demonstrate the existence of various transition types that are induced by disinhibitory functions between two inhibitory variables in an isolated Taylor &Baier model. Moreover, we show that these disinhibition-induced transitions can lead to stable tonic-clonic oscillations as well as periodic spike with slow-wave discharges, which are the hallmark of absence seizures. We also observe fascinating dynamical states, such as periodic 2-spike with slow-wave discharges, tonic death, bursting oscillations, as well as saturated firing. Most importantly, we identify paths that represent physiologically plausible transitions between absence and tonic-clonic seizures in the modified spatially-extended Taylor &Baier model.
authors.affiliation: Department of Dynamics and Control, Beihang University, Beijing 100191, China.
authors.forename: Denggui
authors.initials: D
authors.lastname: Fan
authors.affiliation: Department of Dynamics and Control, Beihang University, Beijing 100191, China.
authors.forename: Qingyun
authors.initials: Q
authors.lastname: Wang
authors.affiliation: 1] Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia [2] Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, SI-2000 Maribor, Slovenia [3] CAMTP-Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000 Maribor, Slovenia.
authors.forename: Matjaž
authors.initials: M
authors.lastname: Perc
mesh_terms: D002540:Cerebral Cortex / Q000378:metabolism; D004569:Electroencephalography; D004832:Epilepsy, Absence / Q000378:metabolism / Q000473:pathology*; D006801:Humans; D008962:Models, Theoretical; D012640:Seizures / Q000378:metabolism / Q000473:pathology*