Reconstructing the functional connectivity of multiple spike trains using Hawkes models

Correlation-Based Analysis and Generation of Multiple Spike Trains Using Hawkes Models with an Exogenous Input

The correlation structure of neural activity is believed to play a major role in the encoding and possibly the decoding of information in neural populations. Recently, several methods were developed for exactly controlling the correlation structure of multi-channel synthetic spike trains (Brette, 2009; Krumin and Shoham, 2009; Macke et al., 2009; Gutnisky and Josic, 2010; Tchumatchenko et al., ...

Inference About Functional Connectivity From Multiple Neural Spike Trains

In neuroscience study, it is desirable to understand how the neuronal activities are associated and how the association changes with time based on multiple spike train recordings from multielectrode array. The term functional connectivity is used to describe the association between neurons and the change of association with task purpose. In this proposed thesis, I will study the statistical det...

Statistical models of spike trains∗

Toward reconstructing spike trains from large-scale calcium imaging data.

Neural activity can be captured by state-of-the-art optical imaging methods although the analysis of the resulting data sets is often manual and not standardized. Therefore, laboratories using large-scale calcium imaging eagerly await software toolboxes that can automate the process of identifying cells and inferring spikes. An algorithm proposed and implemented in a recent paper by Mukamel et ...

Assessment of Synchrony in Multiple Neural Spike Trains Using Loglinear Point Process Models By

Neural spike trains, which are sequences of very brief jumps in voltage across the cell membrane, were one of the motivating applications for the development of point process methodology. Early work required the assumption of stationarity, but contemporary experiments often use time-varying stimuli and produce time-varying neural responses. More recently, many statistical methods have been deve...