title: Phase space approach for modeling of epileptic dynamics.
abstract: Epileptic electroencephalography recordings can be described in terms of four prototypic wave forms: fast sinusoidal oscillations, large slow waves, fast spiking, and spike waves. On the macroscopic level, these wave forms have been modeled by different mechanistic models which share canonical features. Here we derive a minimal model of excitatory and inhibitory processes with features common to all previous models. We can infer that at least three interacting processes are required to support the prototypic epileptic dynamics. Based on a separation of time scales we analyze the model in terms of interacting manifolds in phase space. This allows qualitative reverse engineering of all epileptic wave forms and transitions between them. We propose this method as a complement to traditional approaches to modeling epileptiform rhythms.
authors.affiliation: Doctoral Training Centre Integrative Systems Biology, Manchester Interdisciplinary Biocentre, 131 Princess Street, Manchester M1 7DN, United Kingdom. yujiang.wang-2@postgrad.manchester.ac.uk
authors.forename: Yujiang
authors.initials: Y
authors.lastname: Wang
authors.forename: Marc
authors.initials: M
authors.lastname: Goodfellow
authors.forename: Peter Neal
authors.initials: PN
authors.lastname: Taylor
authors.forename: Gerold
authors.initials: G
authors.lastname: Baier
mesh_terms: D000200:Action Potentials; D000818:Animals; D001683:Biological Clocks; D001921:Brain / Q000503:physiopathology*; D003198:Computer Simulation; D004827:Epilepsy / Q000503:physiopathology*; D006801:Humans; D008959:Models, Neurological; D009415:Nerve Net / Q000503:physiopathology*