A formalism for evaluating analytically the cross-correlation structure of a firing-rate network model.

ABSTRACT: We introduce a new formalism for evaluating analytically the cross-correlation structure of a finite-size firing-rate network with recurrent connections. The analysis performs a first-order perturbative expansion of neural activity equations that include three different sources of randomness: the background noise of the membrane potentials, their initial conditions, and the distribution of the recurrent synaptic weights. This allows the analytical quantification of the relationship between anatomical and functional connectivity, i.e. of how the synaptic connections determine the statistical dependencies at any order among different neurons. The technique we develop is general, but for simplicity and clarity we demonstrate its efficacy by applying it to the case of synaptic connections desc

SUBMITTER: Fasoli D 

PROVIDER: S-EPMC4385226 | biostudies-literature | 2015

REPOSITORIES: biostudies-literature