Mechanisms of intermittent state transitions in a coupled heterogeneous oscillator model of epilepsy
Journal of Mathematical Neuroscience
BioMed Central /SpringerOpen
Open access. © M. Goodfellow, P. Glendinning; licensee Springer 2013. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate the dynamic mechanisms underlying intermittent state transitions in a recently proposed neural mass model of epilepsy. A low dimensional model is constructed, which preserves two key features of the neural mass model, namely (i) coupling between oscillators and (ii) heterogeneous proximity of these oscillators to a bifurcation between distinct limit cycles. We demonstrate that state transitions due to intermittency occur in the abstract model. This suggests that there is a general bifurcation mechanism responsible for this behaviour and that this is independent of the precise form of the evolution equations. Such abstractions of neural mass models allow a deeper insight into underlying dynamic and physiological mechanisms, and also allow the more efficient exploration of large scale brain dynamics in disease.
MG acknowledges funding from the EPSRC through a postdoctoral prize fellowship.
This is the final version of the article. Available from BioMed Central/SpringerOpen via the DOI in this record.
Vol. 3, article 17
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