Department of Mathematics
Mathematics Colloquium - Fall 2014
Wednesday, November 5th, 2014
3:30pm - 4:30pm, in Science 2-066 Kyle LepageMass General Hospital/ Boston UniversityOn Rhythmic Spike-Field Association
Abstract:
Many experiments in neuroscience have compared the strength
of association between neural spike trains and rhythms present in
local field potential (LFP) recordings. The measure employed in these
comparisons, "spike-field coherence", is a frequency dependent
measure of linear association, and is shown to depend on overall
neural activity. Dependence upon overall neural activity, that is,
dependence upon the total number of spikes, renders comparison of
spike-field coherence across experimental context difficult. In this
talk an inferential procedure based upon a generalized linear model is
shown to be capable of separating the effects of overall neural
activity from spike train-LFP oscillatory coupling. This separation
provides a means to compare the strength of oscillatory association
between spike train-LFP pairs independent of differences in spike
counts. Following a review of the generalized linear modelling
framework of point process neural activity a specific class of
generalized linear models are introduced. This model class, using
either a piece-wise constant link function, or an exponential function
to relate an LFP rhythm to neural response, is used to develop
hypothesis tests capable of detecting changes in spike train-LFP
oscillatory coupling. The performance of these tests is validated,
both in simulation and on real data. The proposed method of inference
provides a principled statistical procedure by which across-context
change in spike train-LFP rhythmic association can be directly
inferred that explicitly handles between-condition differences in
total spike count.
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