Paper Info
Title
The effects of within-neuron degree correlations in networks of spiking neurons.
Abstract
We consider the effects of correlations between the in- and out-degrees of individual neurons on the dynamics of a network of neurons. By using theta neurons, we can derive a set of coupled differential equations for the expected dynamics of neurons with the same in-degree. A Gaussian copula is used to introduce correlations between a neuron’s in- and out-degree, and numerical bifurcation analysis is used determine the effects of these correlations on the network’s dynamics. For excitatory coupling, we find that inducing positive correlations has a similar effect to increasing the coupling strength between neurons, while for inhibitory coupling it has the opposite effect. We also determine the propensity of various two- and three-neuron motifs to occur as correlations are varied and give a plausible explanation for the observed changes in dynamics.
Year
DOI
Venue
2020
10.1007/s00422-020-00822-0
Biological Cybernetics
Keywords
DocType
Volume
Degree correlations, Copula, Theta neuron, Ott/Antonsen
Journal
114
Issue
ISSN
Citations 
3
0340-1200
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Carlo R. Laing129541.21
Christian Bläsche200.34