Transitions to spike-wave oscillations and epileptic dynamics in a human cortico-thalamic mean-field model |
| |
Authors: | Serafim Rodrigues David Barton Robert Szalai Oscar Benjamin Mark P Richardson John R Terry |
| |
Institution: | (1) Department of Engineering Mathematics, University of Bristol, Bristol, BS8 1TR, UK;(2) Institute of Psychiatry, King’s College London, Camberwell, SE5 8AF, UK; |
| |
Abstract: | In this paper we present a detailed theoretical analysis of the onset of spike-wave activity in a model of human electroencephalogram
(EEG) activity, relating this to clinical recordings from patients with absence seizures. We present a complete explanation
of the transition from inter-ictal activity to spike and wave using a combination of bifurcation theory, numerical continuation
and techniques for detecting the occurrence of inflection points in systems of delay differential equations (DDEs). We demonstrate
that the initial transition to oscillatory behaviour occurs as a result of a Hopf bifurcation, whereas the addition of spikes
arises as a result of an inflection point of the vector field. Strikingly these findings are consistent with EEG data recorded
from patients with absence seizures and we present a discussion of the clinical significance of these results, suggesting
potential new techniques for detection and anticipation of seizures. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|