Title
A Spike-Train Probability Model
Abstract
Poisson processes usually provide adequate descriptions of the irregularity in neuron spike times after pooling the data across large numbers of trials, as is done in constructing the peristimulus time histogram. When probabilities are needed to describe the behavior of neurons within individual trials, however, Poisson process models are often inadequate. In principle, an explicit formula gives the probability density of a single spike train in great generality, but without additional assumptions, the firing-rate intensity function appearing in that formula cannot be estimated. We propose a simple solution to this problem, which is to assume that the time at which a neuron fires is determined probabilistically by, and only by, two quantities: the experimental clock time and the elapsed time since the previous spike. We show that this model can be fitted with standard methods and software and that it may used successfully to fit neuronal data.
Year
DOI
Venue
2001
10.1162/08997660152469314
Neural Computation
Keywords
DocType
Volume
experimental clock time,neuron fire,additional assumption,neuronal data,previous spike,poisson process model,neuron spike time,explicit formula,peristimulus time histogram,spike-train probability model,single spike train
Journal
13
Issue
ISSN
Citations 
8
0899-7667
70
PageRank 
References 
Authors
10.78
1
2
Name
Order
Citations
PageRank
Robert E. Kass132843.43
Valérie Ventura225336.45