A first-order nonhomogeneous Markov model for the response of spiking neurons stimulated by small phase-continuous signals.

Abstract:

:We present a first-order nonhomogeneous Markov model for the interspike-interval density of a continuously stimulated spiking neuron. The model allows the conditional interspike-interval density and the stationary interspike-interval density to be expressed as products of two separate functions, one of which describes only the neuron characteristics and the other of which describes only the signal characteristics. The approximation shows particularly clearly that signal autocorrelations and cross-correlations arise as natural features of the interspike-interval density and are particularly clear for small signals and moderate noise. We show that this model simplifies the design of spiking neuron cross-correlation systems and describe a four-neuron mutual inhibition network that generates a cross-correlation output for two input signals.

journal_name

Neural Comput

journal_title

Neural computation

authors

Tapson J,Jin C,van Schaik A,Etienne-Cummings R

doi

10.1162/neco.2009.06-07-548

subject

Has Abstract

pub_date

2009-06-01 00:00:00

pages

1554-88

issue

6

eissn

0899-7667

issn

1530-888X

pii

10.1162/neco.2009.06-07-548

journal_volume

21

pub_type

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