Information-geometric measure of 3-neuron firing patterns characterizes scale-dependence in cortical networks.

Journal of Computational Neuroscience
Ifije E Ohiorhenuan, Jonathan D Victor

Abstract

To understand the functional connectivity of neural networks, it is important to develop simple and incisive descriptors of multineuronal firing patterns. Analysis at the pairwise level has proven to be a powerful approach in the retina, but it may not suffice to understand complex cortical networks. Here we address the problem of describing interactions among triplets of neurons. We consider two approaches: an information-geometric measure (Amari 2001), which we call the "strain," and the Kullback-Leibler divergence. While both approaches can be used to assess whether firing patterns differ from those predicted by a pairwise maximum-entropy model, the strain provides additional information. Specifically, when the observed firing patterns differ from those predicted by a pairwise model, the strain indicates the nature of this difference--whether there is an excess or a deficit of synchrony--while the Kullback-Leibler divergence only indicates the magnitude of the difference. We show that the strain has technical advantages, including ease of calculation of confidence bounds and bias, and robustness to the kinds of spike-sorting errors associated with tetrode recordings. We demonstrate the biological importance of these points v...Continue Reading

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Citations

Feb 1, 2011·Journal of Computational Neuroscience·Alexander G DimitrovJonathan D Victor
Mar 12, 2013·Journal of Computational Neuroscience·Imke C G ReimerStefan Rotter
Jul 6, 2014·PLoS Computational Biology·Urs KösterBruno A Olshausen
Jul 4, 2013·Journal of Computational Neuroscience·Nicholas TimmeJohn M Beggs
Apr 29, 2015·Scientific Reports·Hideaki ShimazakiTaro Toyoizumi
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yasuhiko IgarashiMasato Okada
May 10, 2020·PLoS Computational Biology·Lisandro MontangieJulijana Gjorgjieva
Jun 25, 2020·PLoS Computational Biology·Emili Balaguer-BallesterMaria V Sanchez-Vives
Jul 18, 2018·Physical Review. E·Lisandro Montangie, Fernando Montani

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