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Activity Number: 82
Type: Contributed
Date/Time: Sunday, August 9, 2015 : 4:00 PM to 5:50 PM
Sponsor: Biometrics Section
Abstract #315671
Title: Neural Spike Trains as Realizations of Skellam Process with Resetting
Author(s): Reza Ramezan* and Paul Marriott and Chenouri Shojaeddin
Companies: California State University at Fullerton and University of Waterloo and University of Waterloo
Keywords: Skellam Process ; Point Process ; Multivariate Skellam Distribution ; ISI Distribution ; Neuroscience ; Spike Trains
Abstract:

This talk focuses on the statistical analysis of neural spike trains, which are instantaneous electrochemical waves through which nerve cells communicate. Frequently, these spikes are modelled as realizations of an inhomogeneous Poisson process. In this talk we outline the limitations of such a model and introduce the Skellam process with resetting as a powerful alternative. Skellam process with resetting is defined as the difference between two independent Poisson processes with a modification to accommodate the neuronal refractory period. The interesting problem of inter-spike interval (ISI) distribution is addressed, and the closed form ISI distribution within Skellam process with resetting is derived. Also introduced is the multivariate Skellam distribution as well as the multivariate Skellam process with resetting. We show that unlike traditional models in the literature, capturing negative correlation among spike trains (inhibitory neurons) is not a limitation for this new framework. Computationally efficient methods are illustrated in simulations, and real data analysis provide promising results for this new approach.


Authors who are presenting talks have a * after their name.

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