Mechanisms of intermittent state transitions in a coupled heterogeneous oscillator model of epilepsy

Goodfellow, Marc and Glendinning, Paul (2012) Mechanisms of intermittent state transitions in a coupled heterogeneous oscillator model of epilepsy. [MIMS Preprint]

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Abstract

We investigate the dynamic mechanisms underlying intermittent state transitions in a recently proposed neural mass model of epilepsy. We hypothesise the properties of the neural mass model contributing to the observed state switching dynamics are i) coupling between oscillators and ii) heterogeneous proximity of these oscillators to a bifurcation between distinct limit cycles. In order to test this hypothesis we construct a low dimensional, abstract model preserving only these features and demonstrate that state transitions due to intermittency occur. 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 the underlying dynamic and physiological mechanisms and also allow the more ecient exploration of large scale brain dynamics in disease.

Item Type:	MIMS Preprint
Additional Information:	CICADA
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 92 Biology and other natural sciences
Depositing User:	Professor Paul Glendinning
Date Deposited:	18 Oct 2012
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1884

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