Degree Correlations Optimize Neuronal Network Sensitivity to Sub-Threshold Stimuli.

Information processing in the brain crucially depends on the topology of the neuronal connections. We investigate how the topology influences the response of a population of leaky integrate-and-fire neurons to a stimulus. We devise a method to calculate firing rates from a self-consistent system of...

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Main Authors: Christian Schmeltzer, Alexandre Hiroaki Kihara, Igor Michailovitsch Sokolov, Sten Rüdiger
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2015-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4482728?pdf=render
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author Christian Schmeltzer
Alexandre Hiroaki Kihara
Igor Michailovitsch Sokolov
Sten Rüdiger
author_facet Christian Schmeltzer
Alexandre Hiroaki Kihara
Igor Michailovitsch Sokolov
Sten Rüdiger
author_sort Christian Schmeltzer
collection DOAJ
description Information processing in the brain crucially depends on the topology of the neuronal connections. We investigate how the topology influences the response of a population of leaky integrate-and-fire neurons to a stimulus. We devise a method to calculate firing rates from a self-consistent system of equations taking into account the degree distribution and degree correlations in the network. We show that assortative degree correlations strongly improve the sensitivity for weak stimuli and propose that such networks possess an advantage in signal processing. We moreover find that there exists an optimum in assortativity at an intermediate level leading to a maximum in input/output mutual information.
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spelling doaj.art-f4ad919778204e50946e79a20bbb06be2022-12-21T18:20:45ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-01106e012179410.1371/journal.pone.0121794Degree Correlations Optimize Neuronal Network Sensitivity to Sub-Threshold Stimuli.Christian SchmeltzerAlexandre Hiroaki KiharaIgor Michailovitsch SokolovSten RüdigerInformation processing in the brain crucially depends on the topology of the neuronal connections. We investigate how the topology influences the response of a population of leaky integrate-and-fire neurons to a stimulus. We devise a method to calculate firing rates from a self-consistent system of equations taking into account the degree distribution and degree correlations in the network. We show that assortative degree correlations strongly improve the sensitivity for weak stimuli and propose that such networks possess an advantage in signal processing. We moreover find that there exists an optimum in assortativity at an intermediate level leading to a maximum in input/output mutual information.http://europepmc.org/articles/PMC4482728?pdf=render
spellingShingle Christian Schmeltzer
Alexandre Hiroaki Kihara
Igor Michailovitsch Sokolov
Sten Rüdiger
Degree Correlations Optimize Neuronal Network Sensitivity to Sub-Threshold Stimuli.
PLoS ONE
title Degree Correlations Optimize Neuronal Network Sensitivity to Sub-Threshold Stimuli.
title_full Degree Correlations Optimize Neuronal Network Sensitivity to Sub-Threshold Stimuli.
title_fullStr Degree Correlations Optimize Neuronal Network Sensitivity to Sub-Threshold Stimuli.
title_full_unstemmed Degree Correlations Optimize Neuronal Network Sensitivity to Sub-Threshold Stimuli.
title_short Degree Correlations Optimize Neuronal Network Sensitivity to Sub-Threshold Stimuli.
title_sort degree correlations optimize neuronal network sensitivity to sub threshold stimuli
url http://europepmc.org/articles/PMC4482728?pdf=render
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