Universal properties of correlation transfer in integrate-and-fire neurons

Details Universal properties of correlation transfer in integrate-and-fire neurons Universal properties of correlation transfer in integrate-and-fire neurons

2007-03-16

arxiv.org/abs/q-bio/0703037v1

Biology

Quantitative Biology

Neurons and Cognition

Scientific paper

One of the fundamental characteristics of a nonlinear system is how it transfers correlations in its inputs to correlations in its outputs. This is particularly important in the nervous system, where correlations between spiking neurons are prominent. Using linear response and asymptotic methods for pairs of unconnected integrate-and-fire (IF) neurons receiving white noise inputs, we show that this correlation transfer depends on the output spike firing rate in a strong, stereotyped manner, and is, surprisingly, almost independent of the interspike variance. For cells receiving heterogeneous inputs, we further show that correlation increases with the geometric mean spiking rate in the same stereotyped manner, greatly extending the generality of this relationship. We present an immediate consequence of this relationship for population coding via tuning curves.

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