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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/380

Title: A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis
Authors: Breakspear, Michael
Roberts, J.A.
Terry, John R.
Rodrigues, Serafim
Mahant, N.
Robinson, P.A.
Keywords: primary generalized epilepsy
neural modeling
nonlinear dyanamics
time series analysis
Issue Date: 2005
Abstract: The aim of this paper is to explain critical features of the human primary generalized epilepsies by investigating the dynamical bifurcations of a nonlinear model of the brain’s mean field dynamics. The model treats the cortex as a medium for the propagation of waves of electrical activity, incorporating key physiological processes such as propagation delays, membrane physiology and corticothalamic feedback. Previous analyses have demonstrated its descriptive validity in a wide range of healthy states and yielded specific predictions with regards to seizure phenomena. We show that mapping the structure of the nonlinear bifurcation set predicts a number of crucial dynamic processes, including the onset of periodic and chaotic dynamics as well as multistability. Quantitative study of electrophysiological data supports the validity of these predictions and reveals processes unique to the global bifurcation set. Specifically, we argue that the core electrophysiological and cognitive differences between tonic-clonic and absence seizures are predicted by the global bifurcation diagram of the model’s dynamics. The present study is the first to present a unifying explanation of these generalized seizures using the bifurcation analysis of a dynamical model of the brain.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/380
Appears in Collections:Pre-prints (Maths)

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