title: Bifurcation control of a seizing human cortex.
abstract: We consider as a mathematical model of human cortical electrical activity a system of fourteen ordinary differential equations. With appropriate parameters, the model produces activity characteristic of a seizure. To prevent such seizures, we incorporate feedback controllers into the model dynamics. We show that three controllers--a linear feedback controller, a differential controller, and a filter controller--can be used to eliminate seizing activity in the model system. We show how bifurcations induced by the linear controller alter those present in the original dynamics.
authors.affiliation: Program in Applied Science and Technology, University of California, Berkeley, CA 94720, USA.
authors.forename: Mark A
authors.initials: MA
authors.lastname: Kramer
authors.forename: Beth A
authors.initials: BA
authors.lastname: Lopour
authors.forename: Heidi E
authors.initials: HE
authors.lastname: Kirsch
authors.forename: Andrew J
authors.initials: AJ
authors.lastname: Szeri
mesh_terms: D000200:Action Potentials; D001683:Biological Clocks; D002540:Cerebral Cortex / Q000503:physiopathology*; D003198:Computer Simulation; D004569:Electroencephalography / Q000379:methods*; D005246:Feedback; D006801:Humans; D008959:Models, Neurological; D009415:Nerve Net / Q000503:physiopathology*; D009474:Neurons; D012640:Seizures / Q000503:physiopathology*