Higher-Order Cumulants Drive Neuronal Activity Patterns, Inducing UP-DOWN States in Neural Populations

A major challenge in neuroscience is to understand the role of the higher-order correlations structure of neuronal populations. The dichotomized Gaussian model (DG) generates spike trains by means of thresholding a multivariate Gaussian random variable. The DG inputs are Gaussian distributed, and th...

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Autores principales: Baravalle, Román, Montani, Fernando Fabián
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/118881
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id I19-R120-10915-118881
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Neuronal activity
Collective dynamics
Information processing
PDF evaluation
Dynamic states
Higher-order correlations
Fisher information and Shannon entropy
Critical fluctuations and binder cumulant
High activity states
Low activity states
spellingShingle Física
Neuronal activity
Collective dynamics
Information processing
PDF evaluation
Dynamic states
Higher-order correlations
Fisher information and Shannon entropy
Critical fluctuations and binder cumulant
High activity states
Low activity states
Baravalle, Román
Montani, Fernando Fabián
Higher-Order Cumulants Drive Neuronal Activity Patterns, Inducing UP-DOWN States in Neural Populations
topic_facet Física
Neuronal activity
Collective dynamics
Information processing
PDF evaluation
Dynamic states
Higher-order correlations
Fisher information and Shannon entropy
Critical fluctuations and binder cumulant
High activity states
Low activity states
description A major challenge in neuroscience is to understand the role of the higher-order correlations structure of neuronal populations. The dichotomized Gaussian model (DG) generates spike trains by means of thresholding a multivariate Gaussian random variable. The DG inputs are Gaussian distributed, and thus have no interactions beyond the second order in their inputs; however, they can induce higher-order correlations in the outputs. We propose a combination of analytical and numerical techniques to estimate higher-order, above the second, cumulants of the firing probability distributions. Our findings show that a large amount of pairwise interactions in the inputs can induce the system into two possible regimes, one with low activity (“DOWN state”) and another one with high activity (“UP state”), and the appearance of these states is due to a combination between the third- and fourth-order cumulant. This could be part of a mechanism that would help the neural code to upgrade specific information about the stimuli, motivating us to examine the behavior of the critical fluctuations through the Binder cumulant close to the critical point. We show, using the Binder cumulant, that higher-order correlations in the outputs generate a critical neural system that portrays a second-order phase transition.
format Articulo
Articulo
author Baravalle, Román
Montani, Fernando Fabián
author_facet Baravalle, Román
Montani, Fernando Fabián
author_sort Baravalle, Román
title Higher-Order Cumulants Drive Neuronal Activity Patterns, Inducing UP-DOWN States in Neural Populations
title_short Higher-Order Cumulants Drive Neuronal Activity Patterns, Inducing UP-DOWN States in Neural Populations
title_full Higher-Order Cumulants Drive Neuronal Activity Patterns, Inducing UP-DOWN States in Neural Populations
title_fullStr Higher-Order Cumulants Drive Neuronal Activity Patterns, Inducing UP-DOWN States in Neural Populations
title_full_unstemmed Higher-Order Cumulants Drive Neuronal Activity Patterns, Inducing UP-DOWN States in Neural Populations
title_sort higher-order cumulants drive neuronal activity patterns, inducing up-down states in neural populations
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/118881
work_keys_str_mv AT baravalleroman higherordercumulantsdriveneuronalactivitypatternsinducingupdownstatesinneuralpopulations
AT montanifernandofabian higherordercumulantsdriveneuronalactivitypatternsinducingupdownstatesinneuralpopulations
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