Chaos game representation of human pallidal spike trains |
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Authors: | Mahta Rasouli Golta Rasouli Fredrick A Lenz Donald S Borrett Leo Verhagen Hon C Kwan |
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Institution: | 1. Department of Ophthalmology, University of Alberta, 2319, 10240 Kingsway Avenue NW, Edmonton, AB, Canada, T5H 3V9 2. Chicago Medical School, 3333 Green Bay Road, North Chicago, IL, 60064, USA 3. Department of Neurosurgery, Johns Hopkins Hospital, Baltimore, MD, 21278-7713, USA 4. Division of Neurology, Toronto East General Hospital, Toronto, ON, Canada 5. Department of Neurology, Rush University, Chicago, IL, USA 6. Department of Physiology, University of Toronto, 1 King’s College Circle, Toronto, ON, Canada, M5S 1A8
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Abstract: | Many studies have demonstrated the presence of scale invariance and long-range correlation in animal and human neuronal spike trains. The methodologies to extract the fractal or scale-invariant properties, however, do not address the issue as to the existence within the train of fine temporal structures embedded in the global fractal organisation. The present study addresses this question in human spike trains by the chaos game representation (CGR) approach, a graphical analysis with which specific temporal sequences reveal themselves as geometric structures in the graphical representation. The neuronal spike train data were obtained from patients whilst undergoing pallidotomy. Using this approach, we observed highly structured regions in the representation, indicating the presence of specific preferred sequences of interspike intervals within the train. Furthermore, we observed that for a given spike train, the higher the magnitude of its scaling exponent, the more pronounced the geometric patterns in the representation and, hence, higher probability of occurrence of specific subsequences. Given its ability to detect and specify in detail the preferred sequences of interspike intervals, we believe that CGR is a useful adjunct to the existing set of methodologies for spike train analysis. |
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Keywords: | Globus pallidus Scaling exponent Long-range correlation Apomorphine Chaos game representation |
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