%0 Journal Article
%A Koulakov, Alexei A.
%A Hromádka, Tomáš
%A Zador, Anthony M.
%T Correlated Connectivity and the Distribution of Firing Rates in the Neocortex
%D 2009
%R 10.1523/JNEUROSCI.4500-08.2009
%J The Journal of Neuroscience
%P 3685-3694
%V 29
%N 12
%X Two recent experimental observations pose a challenge to many cortical models. First, the activity in the auditory cortex is sparse, and firing rates can be described by a lognormal distribution. Second, the distribution of nonzero synaptic strengths between nearby cortical neurons can also be described by a lognormal distribution. Here we use a simple model of cortical activity to reconcile these observations. The model makes the experimentally testable prediction that synaptic efficacies onto a given cortical neuron are statistically correlated, i.e., it predicts that some neurons receive stronger synapses than other neurons. We propose a simple Hebb-like learning rule that gives rise to such correlations and yields both lognormal firing rates and synaptic efficacies. Our results represent a first step toward reconciling sparse activity and sparse connectivity in cortical networks.
%U https://www.jneurosci.org/content/jneuro/29/12/3685.full.pdf