Chaos game representation of human pallidal spike trains

Mahta Rasouli, Golta Rasouli, Frederick Lenz, Donald S. Borrett, Leo Verhagen, Hon C. Kwan

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)197-205
Number of pages9
JournalJournal of Biological Physics
Volume36
Issue number2
DOIs
StatePublished - Mar 2010

Fingerprint

Fractals
games
spikes
chaos
Pallidotomy
fractals
methodology
intervals
animals
invariance
exponents
occurrences
scaling

Keywords

  • Apomorphine
  • Chaos game representation
  • Globus pallidus
  • Long-range correlation
  • Scaling exponent

ASJC Scopus subject areas

  • Biophysics
  • Cell Biology
  • Molecular Biology
  • Atomic and Molecular Physics, and Optics

Cite this

Rasouli, M., Rasouli, G., Lenz, F., Borrett, D. S., Verhagen, L., & Kwan, H. C. (2010). Chaos game representation of human pallidal spike trains. Journal of Biological Physics, 36(2), 197-205. https://doi.org/10.1007/s10867-009-9172-x

Chaos game representation of human pallidal spike trains. / Rasouli, Mahta; Rasouli, Golta; Lenz, Frederick; Borrett, Donald S.; Verhagen, Leo; Kwan, Hon C.

In: Journal of Biological Physics, Vol. 36, No. 2, 03.2010, p. 197-205.

Research output: Contribution to journalArticle

Rasouli, M, Rasouli, G, Lenz, F, Borrett, DS, Verhagen, L & Kwan, HC 2010, 'Chaos game representation of human pallidal spike trains', Journal of Biological Physics, vol. 36, no. 2, pp. 197-205. https://doi.org/10.1007/s10867-009-9172-x
Rasouli, Mahta ; Rasouli, Golta ; Lenz, Frederick ; Borrett, Donald S. ; Verhagen, Leo ; Kwan, Hon C. / Chaos game representation of human pallidal spike trains. In: Journal of Biological Physics. 2010 ; Vol. 36, No. 2. pp. 197-205.
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