Please use this identifier to cite or link to this item:
http://hdl.handle.net/1983/1094
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| Title: | Transitions to spike-wave oscillations and epileptic dynamics in a human cortico-thalamic mean-field model |
| Author(s): | Rodrigues, S
Barton, DAW
Szalai, R
Benjamin, OJ
Richardson, Mark P
Terry, JR |
| Publication or creation date: | Apr-2008 |
| 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 |
| Subject keywords: | mathematical EEG modelling
cortico-thalamic model
spike-wave oscillations |
| Sponsors: | EPSRC EP/D068436/01 |
| Additional information: | Preprint submitted to the Journal of Computational Neuroscience, published by Springer |
| Document type: | Preprint |
| Appears in Collections: | Bristol Centre for Applied Nonlinear Mathematics
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