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  • Poster presentation
  • Open Access

Multi-scale detection of rate and variance changes in neuronal spike trains

  • 1Email author,
  • 1,
  • 2,
  • 2 and
  • 1
BMC Neuroscience201516 (Suppl 1) :P217

https://doi.org/10.1186/1471-2202-16-S1-P217

  • Published:

Keywords

  • Rate Change
  • Point Process
  • Change Point
  • Auditory Cortex
  • Slow Time

Neuronal spike trains can show variability with respect to process parameters such as the rate or variability of inter spike intervals. These changes can occur on fast and slow time scales, including also simultaneous and separate changes in different process parameters.

Building up on results of [1] we present a multiple filter technique (MFT) that detects change points in the rate and variance of point processes on multiple time scales simultaneously. In particular, we use a filtered derivative process and its limit behavior under stationarity. The method also extends to higher order moments.

The separate detection of rate and variance changes requires two techniques: First, rate changes need to be detected, irrespective of potential variance changes. To this end, our approach allows the identification of rate changes in point processes with a certain variability in their lifetimes. Second, the identified rate changes need to be considered when analyzing variance changes. We investigate the empirical properties of our asymptotic MFT method in simulations and apply the MFT to spike trains recorded from auditory cortex of behaving mice, illustrating rate and variability dynamics during the task.

Declarations

Acknowledgements

This work was supported by the German Federal Ministry of Education and Research (BMBF, Funding number: 01ZX1404B; SA, TS, GS) and by the Priority Program 1665 of the DFG (TS, GS).

Authors’ Affiliations

(1)
Institute of Mathematics, Goethe-University, Frankfurt am Main, Germany
(2)
Institute of Neurophysiology, Goethe-University, Frankfurt am Main, Germany

References

  1. Messer M, Kirchner M, Schiemann J, Roeper J, Neininger R, Schneider G: A multiple filter test for the detection of rate changes in renewal processes with varying variance. Annals of Applied Statistics. 2014, 8 (4): 2027-2067.View ArticleGoogle Scholar

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