Title
Analyzing functional connectivity using a network likelihood model of ensemble neural spiking activity.
Abstract
Analyzing the dependencies between spike trains is an important step in understanding how neurons work in concert to represent biological signals. Usually this is done for pairs of neurons at a time using correlation-based techniques. Chornoboy, Schramm, and Karr (1988) proposed maximum likelihood methods for the simultaneous analysis of multiple pair-wise interactions among an ensemble of neurons. One of these methods is an iterative, continuous-time estimation algorithm for a network likelihood model formulated in terms of multiplicative conditional intensity functions. We devised a discrete-time version of this algorithm that includes a new, efficient computational strategy, a principled method to compute starting values, and a principled stopping criterion. In an analysis of simulated neural spike trains from ensembles of interacting neurons, the algorithm recovered the correct connectivity matrices and interaction parameters. In the analysis of spike trains from an ensemble of rat hippocampal place cells, the algorithm identified a connectivity matrix and interaction parameters consistent with the pattern of conjoined firing predicted by the overlap of the neurons' spatial receptive fields. These results suggest that the network likelihood model can be an efficient tool for the analysis of ensemble spiking activity.
Year
DOI
Venue
2005
10.1162/0899766054322973
Neural Computation
Keywords
DocType
Volume
continuous-time estimation algorithm,analyzing functional connectivity,network likelihood model,spike train,simultaneous analysis,ensemble neural spiking activity,interaction parameter,proposed maximum likelihood method,correct connectivity matrix,connectivity matrix,simulated neural spike train,neurons work
Journal
17
Issue
ISSN
Citations 
9
0899-7667
76
PageRank 
References 
Authors
5.71
7
3
Name
Order
Citations
PageRank
Murat Okatan1797.36
Matthew A. Wilson226179.26
Emery N. Brown31019151.59