Transitions to spike-wave oscillations and epileptic dynamics in a human cortico-thalamic mean-field model

S Rodrigues, DAW Barton, R Szalai, OJ Benjamin, P Richardson, Mar, JR Terry

Research output: Working paperWorking paper and Preprints

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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 EEG activity, relating this to clinical recordings from patients with absence seizures. We present a complete explanation of the transition from healthy 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 DDEs. We observe the 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
Original languageEnglish
Publication statusPublished - Apr 2008

Bibliographical note

Additional information: Preprint submitted to the Journal of Computational Neuroscience, published by Springer

Sponsorship: EPSRC EP/D068436/01

Keywords

  • cortico-thalamic model
  • spike-wave oscillations
  • mathematical EEG modelling

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