Direct estimation of inhomogeneous Markov interval models of spike trains.

Abstract:

:A necessary ingredient for a quantitative theory of neural coding is appropriate "spike kinematics": a precise description of spike trains. While summarizing experiments by complete spike time collections is clearly inefficient and probably unnecessary, the most common probabilistic model used in neurophysiology, the inhomogeneous Poisson process, often seems too crude. Recently a more general model, the inhomogeneous Markov interval model (Berry & Meister, 1998 ; Kass & Ventura, 2001 ), was considered, which takes into account both the current experimental time and the time from the last spike. Several techniques were proposed to estimate the parameters of these models from data. Here we propose a direct method of estimation that is easy to implement, fast, and conceptually simple. The method is illustrated with an analysis of sample data from the cat's superior colliculus.

journal_name

Neural Comput

journal_title

Neural computation

authors

Wójcik DK,Mochol G,Jakuczun W,Wypych M,Waleszczyk WJ

doi

10.1162/neco.2009.07-08-828

subject

Has Abstract

pub_date

2009-08-01 00:00:00

pages

2105-13

issue

8

eissn

0899-7667

issn

1530-888X

journal_volume

21

pub_type

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