A spatially extended model for macroscopic spike-wave discharges
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Spike-wave discharges are a distinctive feature of epileptic seizures. So far, they have not been reported in spatially extended neural field models. We study a space-independent version of the Amari neural field model with two competing inhibitory populations. We show that this competition leads to robust spike-wave dynamics if the inhibitory populations operate on different time-scales. The spike-wave oscillations present a fold/homoclinic type bursting. From this result we predict parameters of the extended Amari system where spike-wave oscillations produce a spatially homogeneous pattern. We propose this mechanism as a prototype of macroscopic epileptic spike-wave discharges. To our knowledge this is the first example of robust spike-wave patterns in a spatially extended neural field model.
KeywordsEpilepsy EEG Mathematical modelling Spike-wave Bursting
We thank H. Muhle, M. Siniatchkin and U. Stephani, Kiel, for clinical EEG data. We acknowledge financial support form EPSRC and BBSRC. We thank Kaspar Schindler, John Terry, Marc Goodfellow, Yujiang Wang and David Broomhead for discussion.
- Destexhe, A., & Sejnowski, T. J. (2001). Thalamocortical assemblies. Oxford: Oxford University Press.Google Scholar
- Marten, F., Rodrigues, S., Benjamin, O., Richardson, M. P., & Terry, J. R. (2009a). Onset of polyspike complexes in a mean-field model of human electroencephalography and its application to absence epilepsy. Philosophical Transactions of the Royal Society of London, Series A: Mathematical and Physical Sciences, 367(1891), 1145–1161.CrossRefGoogle Scholar
- Marten, F., Rodrigues, S., Suffczynski, P., Richardson P. M., & Terry, J. R. (2009b). Derivation and analysis of an ordinary differential equation mean-field model for studying clinically recorded epilepsy dynamics. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 79(2), 21911.CrossRefGoogle Scholar
- Stern, J. M., & Engel, J. (2005). Atlas of EEG patterns. Philadelphia: Lippincott Williams & Wilkins.Google Scholar