Title
Building Blocks of Self-Sustained Activity in a Simple Deterministic Model of Excitable Neural Networks.
Abstract
Understanding the interplay of topology and dynamics of excitable neural networks is one of the major challenges in computational neuroscience. Here we employ a simple deterministic excitable model to explore how network-wide activation patterns are shaped by network architecture. Our observables are co-activation patterns, together with the average activity of the network and the periodicities in the excitation density. Our main results are: (1) the dependence of the correlation between the adjacency matrix and the instantaneous (zero time delay) co-activation matrix on global network features (clustering, modularity, scale-free degree distribution), (2) a correlation between the average activity and the amount of small cycles in the graph, and (3) a microscopic understanding of the contributions by 3-node and 4-node cycles to sustained activity.
Year
DOI
Venue
2012
10.3389/fncom.2012.00050
FRONTIERS IN COMPUTATIONAL NEUROSCIENCE
Keywords
Field
DocType
self-sustained activity,cycles,excitable dynamics,cellular automaton
Adjacency matrix,Cellular automaton,Computational neuroscience,Neuroscience,Computer science,Network architecture,Scale-free network,Deterministic system,Degree distribution,Artificial intelligence,Artificial neural network,Machine learning
Journal
Volume
ISSN
Citations 
6
1662-5188
6
PageRank 
References 
Authors
0.48
9
4
Name
Order
Citations
PageRank
Guadalupe García160.48
Annick Lesne2417.12
Marc-Thorsten Hütt39013.65
claus c hilgetag440160.36