TY - UNPB
T1 - Transitions to spike-wave oscillations and epileptic dynamics in a human cortico-thalamic mean-field model
AU - Rodrigues, S
AU - Barton, DAW
AU - Szalai, R
AU - Benjamin, OJ
AU - Richardson, Mar, P
AU - Terry, JR
N1 - Additional information: Preprint submitted to the Journal of Computational Neuroscience, published by Springer
Sponsorship: EPSRC EP/D068436/01
PY - 2008/4
Y1 - 2008/4
N2 - 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
AB - 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
KW - cortico-thalamic model
KW - spike-wave oscillations
KW - mathematical EEG modelling
M3 - Working paper
BT - Transitions to spike-wave oscillations and epileptic dynamics in a human cortico-thalamic mean-field model
ER -