dorsal/arxiv
View SchemaUniversal properties of correlation transfer in integrate-and-fire neurons
| Authors | Eric Shea-Brown, Kresimir Josic, Jaime de la Rocha, Brent Doiron |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0703037 |
| URL | https://arxiv.org/abs/q-bio/0703037 |
| DOI | 10.1103/PhysRevLett.100.108102 |
Abstract
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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"abstract": "One of the fundamental characteristics of a nonlinear system is how it\ntransfers correlations in its inputs to correlations in its outputs. This is\nparticularly important in the nervous system, where correlations between\nspiking neurons are prominent. Using linear response and asymptotic methods for\npairs of unconnected integrate-and-fire (IF) neurons receiving white noise\ninputs, we show that this correlation transfer depends on the output spike\nfiring rate in a strong, stereotyped manner, and is, surprisingly, almost\nindependent of the interspike variance. For cells receiving heterogeneous\ninputs, we further show that correlation increases with the geometric mean\nspiking rate in the same stereotyped manner, greatly extending the generality\nof this relationship. We present an immediate consequence of this relationship\nfor population coding via tuning curves.",
"arxiv_id": "q-bio/0703037",
"authors": [
"Eric Shea-Brown",
"Kresimir Josic",
"Jaime de la Rocha",
"Brent Doiron"
],
"categories": [
"q-bio.NC",
"cond-mat.dis-nn"
],
"doi": "10.1103/PhysRevLett.100.108102",
"title": "Universal properties of correlation transfer in integrate-and-fire neurons",
"url": "https://arxiv.org/abs/q-bio/0703037"
},
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