Mathematical framework for place coding in the auditory system.

In the auditory system, tonotopy is postulated to be the substrate for a place code, where sound frequency is encoded by the location of the neurons that fire during the stimulus. Though conceptually simple, the computations that allow for the representation of intensity and complex sounds are poorl...

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Autor principal: Alex D Reyes
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Publicado: Public Library of Science (PLoS) 2021
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Acceso en línea:https://doaj.org/article/90f15faace2b48958af6992d5ec7fb25
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spelling oai:doaj.org-article:90f15faace2b48958af6992d5ec7fb252021-12-02T19:58:09ZMathematical framework for place coding in the auditory system.1553-734X1553-735810.1371/journal.pcbi.1009251https://doaj.org/article/90f15faace2b48958af6992d5ec7fb252021-08-01T00:00:00Zhttps://doi.org/10.1371/journal.pcbi.1009251https://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358In the auditory system, tonotopy is postulated to be the substrate for a place code, where sound frequency is encoded by the location of the neurons that fire during the stimulus. Though conceptually simple, the computations that allow for the representation of intensity and complex sounds are poorly understood. Here, a mathematical framework is developed in order to define clearly the conditions that support a place code. To accommodate both frequency and intensity information, the neural network is described as a space with elements that represent individual neurons and clusters of neurons. A mapping is then constructed from acoustic space to neural space so that frequency and intensity are encoded, respectively, by the location and size of the clusters. Algebraic operations -addition and multiplication- are derived to elucidate the rules for representing, assembling, and modulating multi-frequency sound in networks. The resulting outcomes of these operations are consistent with network simulations as well as with electrophysiological and psychophysical data. The analyses show how both frequency and intensity can be encoded with a purely place code, without the need for rate or temporal coding schemes. The algebraic operations are used to describe loudness summation and suggest a mechanism for the critical band. The mathematical approach complements experimental and computational approaches and provides a foundation for interpreting data and constructing models.Alex D ReyesPublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 17, Iss 8, p e1009251 (2021)
institution DOAJ
collection DOAJ
language EN
topic Biology (General)
QH301-705.5
spellingShingle Biology (General)
QH301-705.5
Alex D Reyes
Mathematical framework for place coding in the auditory system.
description In the auditory system, tonotopy is postulated to be the substrate for a place code, where sound frequency is encoded by the location of the neurons that fire during the stimulus. Though conceptually simple, the computations that allow for the representation of intensity and complex sounds are poorly understood. Here, a mathematical framework is developed in order to define clearly the conditions that support a place code. To accommodate both frequency and intensity information, the neural network is described as a space with elements that represent individual neurons and clusters of neurons. A mapping is then constructed from acoustic space to neural space so that frequency and intensity are encoded, respectively, by the location and size of the clusters. Algebraic operations -addition and multiplication- are derived to elucidate the rules for representing, assembling, and modulating multi-frequency sound in networks. The resulting outcomes of these operations are consistent with network simulations as well as with electrophysiological and psychophysical data. The analyses show how both frequency and intensity can be encoded with a purely place code, without the need for rate or temporal coding schemes. The algebraic operations are used to describe loudness summation and suggest a mechanism for the critical band. The mathematical approach complements experimental and computational approaches and provides a foundation for interpreting data and constructing models.
format article
author Alex D Reyes
author_facet Alex D Reyes
author_sort Alex D Reyes
title Mathematical framework for place coding in the auditory system.
title_short Mathematical framework for place coding in the auditory system.
title_full Mathematical framework for place coding in the auditory system.
title_fullStr Mathematical framework for place coding in the auditory system.
title_full_unstemmed Mathematical framework for place coding in the auditory system.
title_sort mathematical framework for place coding in the auditory system.
publisher Public Library of Science (PLoS)
publishDate 2021
url https://doaj.org/article/90f15faace2b48958af6992d5ec7fb25
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