Mechanisms of Intermittent State Transitions in a Coupled Heterogeneous Oscillator Model of Epilepsy

被引:20
作者
Goodfellow, Marc [1 ]
Glendinning, Paul [1 ]
机构
[1] Univ Manchester, CICADA, Sch Math, Manchester, Lancs, England
来源
JOURNAL OF MATHEMATICAL NEUROSCIENCE | 2013年 / 3卷
基金
英国工程与自然科学研究理事会;
关键词
D O I
10.1186/2190-8567-3-17
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
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页数:14
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