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Journal of Computational Neuroscience

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01-12-2009

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

Published in: Journal of Computational Neuroscience | Issue 3/2009

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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.

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Title: 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
Publication date: 01-12-2009
Publisher: Springer US
Published in: Journal of Computational Neuroscience / Issue 3/2009
Print ISSN: 0929-5313
Electronic ISSN: 1573-6873
DOI: https://doi.org/10.1007/s10827-009-0166-2

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