Traveling waves of excitation in neural field models: equivalence of rate descriptions and integrate-and-fire dynamics.

Abstract:

:Field models provide an elegant mathematical framework to analyze large-scale patterns of neural activity. On the microscopic level, these models are usually based on either a firing-rate picture or integrate-and-fire dynamics. This article shows that in spite of the large conceptual differences between the two types of dynamics, both generate closely related plane-wave solutions. Furthermore, for a large group of models, estimates about the network connectivity derived from the speed of these plane waves only marginally depend on the assumed class of microscopic dynamics. We derive quantitative results about this phenomenon and discuss consequences for the interpretation of experimental data.

journal_name

Neural Comput

journal_title

Neural computation

authors

Cremers D,Herz AV

doi

10.1162/08997660260028656

subject

Has Abstract

pub_date

2002-07-01 00:00:00

pages

1651-67

issue

7

eissn

0899-7667

issn

1530-888X

journal_volume

14

pub_type

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