Neural spike train synchronisation indices: definitions, interpretations and applications

D.M. Halliday, J.R. Rosenberg, P. Breeze, B.A. Conway

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    A comparison of previously defined spike train synchronization indices is undertaken within a stochastic point process framework. The second-order cumulant density (covariance density) is shown to be common to all the indices. Simulation studies were used to investigate the sampling variability of a single index based on the second-order cumulant. The simulations used a paired motoneurone model and a paired regular spiking cortical neurone model. The sampling variability of spike trains generated under identical conditions from the paired motoneurone model varied from 50% to 160% of the estimated value. On theoretical grounds, and on the basis of simulated data a rate dependence is present in all synchronization indices. The application of coherence and pooled coherence estimates to the issue of synchronization indices is considered. This alternative frequency domain approach allows an arbitrary number of spike train pairs to be evaluated for statistically significant differences, and combined into a single population measure. The pooled coherence framework allows pooled time domain measures to be derived, application of this to the simulated data is illustrated. Data from the cortical neurone model is generated over a wide range of firing rates (1-250 spikes/s). The pooled coherence framework correctly characterizes the sampling variability as not significant over this wide operating range. The broader applicability of this approach to multielectrode array data is briefly discussed.
    LanguageEnglish
    Pages1056-1066
    Number of pages10
    JournalIEEE Transactions on Biomedical Engineering
    Volume53
    Issue number6
    DOIs
    Publication statusPublished - 2006

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    Synchronization
    Sampling
    Neurons

    Keywords

    • coherence
    • cross-correlation
    • motor units
    • synchronizationindices
    • bioengineering

    Cite this

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    title = "Neural spike train synchronisation indices: definitions, interpretations and applications",
    abstract = "A comparison of previously defined spike train synchronization indices is undertaken within a stochastic point process framework. The second-order cumulant density (covariance density) is shown to be common to all the indices. Simulation studies were used to investigate the sampling variability of a single index based on the second-order cumulant. The simulations used a paired motoneurone model and a paired regular spiking cortical neurone model. The sampling variability of spike trains generated under identical conditions from the paired motoneurone model varied from 50{\%} to 160{\%} of the estimated value. On theoretical grounds, and on the basis of simulated data a rate dependence is present in all synchronization indices. The application of coherence and pooled coherence estimates to the issue of synchronization indices is considered. This alternative frequency domain approach allows an arbitrary number of spike train pairs to be evaluated for statistically significant differences, and combined into a single population measure. The pooled coherence framework allows pooled time domain measures to be derived, application of this to the simulated data is illustrated. Data from the cortical neurone model is generated over a wide range of firing rates (1-250 spikes/s). The pooled coherence framework correctly characterizes the sampling variability as not significant over this wide operating range. The broader applicability of this approach to multielectrode array data is briefly discussed.",
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    Neural spike train synchronisation indices: definitions, interpretations and applications. / Halliday, D.M.; Rosenberg, J.R.; Breeze, P.; Conway, B.A.

    In: IEEE Transactions on Biomedical Engineering, Vol. 53, No. 6, 2006, p. 1056-1066.

    Research output: Contribution to journalArticle

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