Correlated connectivity and the distribution of firing rates in the neocortex

Details Correlated connectivity and the distribution of firing rates in the neocortex Correlated connectivity and the distribution of firing rates in the neocortex

2008-09-09

arxiv.org/abs/0809.1630v1

Biology

Quantitative Biology

Neurons and Cognition

Scientific paper

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 non-zero 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 many more strong connections than other neurons. We propose a simple Hebb-like learning rule which gives rise to both lognormal firing rates and synaptic efficacies. Our results represent a first step toward reconciling sparse activity and sparse connectivity in cortical networks.

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