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A dynamic spike threshold with correlated noise predicts observed patterns of negative interval correlations in neuronal spike trains

Negative correlations in the sequential evolution of interspike intervals (ISIs) are a signature of memory in neuronal spike-trains. They provide coding benefits including firing-rate stabilization, improved detectability of weak sensory signals, and enhanced transmission of information by improving...

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Autores principales: Sidhu, Robin S., Johnson, Erik C., Jones, Douglas L., Ratnam, Rama
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9691502/
https://www.ncbi.nlm.nih.gov/pubmed/36244004
http://dx.doi.org/10.1007/s00422-022-00946-5
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author Sidhu, Robin S.
Johnson, Erik C.
Jones, Douglas L.
Ratnam, Rama
author_facet Sidhu, Robin S.
Johnson, Erik C.
Jones, Douglas L.
Ratnam, Rama
author_sort Sidhu, Robin S.
collection PubMed
description Negative correlations in the sequential evolution of interspike intervals (ISIs) are a signature of memory in neuronal spike-trains. They provide coding benefits including firing-rate stabilization, improved detectability of weak sensory signals, and enhanced transmission of information by improving signal-to-noise ratio. Primary electrosensory afferent spike-trains in weakly electric fish fall into two categories based on the pattern of ISI correlations: non-bursting units have negative correlations which remain negative but decay to zero with increasing lags (Type I ISI correlations), and bursting units have oscillatory (alternating sign) correlation which damp to zero with increasing lags (Type II ISI correlations). Here, we predict and match observed ISI correlations in these afferents using a stochastic dynamic threshold model. We determine the ISI correlation function as a function of an arbitrary discrete noise correlation function [Formula: see text] , where k is a multiple of the mean ISI. The function permits forward and inverse calculations of the correlation function. Both types of correlation functions can be generated by adding colored noise to the spike threshold with Type I correlations generated with slow noise and Type II correlations generated with fast noise. A first-order autoregressive (AR) process with a single parameter is sufficient to predict and accurately match both types of afferent ISI correlation functions, with the type being determined by the sign of the AR parameter. The predicted and experimentally observed correlations are in geometric progression. The theory predicts that the limiting sum of ISI correlations is [Formula: see text] yielding a perfect DC-block in the power spectrum of the spike train. Observed ISI correlations from afferents have a limiting sum that is slightly larger at [Formula: see text] ([Formula: see text] ). We conclude that the underlying process for generating ISIs may be a simple combination of low-order AR and moving average processes and discuss the results from the perspective of optimal coding.
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spelling pubmed-96915022022-11-26 A dynamic spike threshold with correlated noise predicts observed patterns of negative interval correlations in neuronal spike trains Sidhu, Robin S. Johnson, Erik C. Jones, Douglas L. Ratnam, Rama Biol Cybern Original Article Negative correlations in the sequential evolution of interspike intervals (ISIs) are a signature of memory in neuronal spike-trains. They provide coding benefits including firing-rate stabilization, improved detectability of weak sensory signals, and enhanced transmission of information by improving signal-to-noise ratio. Primary electrosensory afferent spike-trains in weakly electric fish fall into two categories based on the pattern of ISI correlations: non-bursting units have negative correlations which remain negative but decay to zero with increasing lags (Type I ISI correlations), and bursting units have oscillatory (alternating sign) correlation which damp to zero with increasing lags (Type II ISI correlations). Here, we predict and match observed ISI correlations in these afferents using a stochastic dynamic threshold model. We determine the ISI correlation function as a function of an arbitrary discrete noise correlation function [Formula: see text] , where k is a multiple of the mean ISI. The function permits forward and inverse calculations of the correlation function. Both types of correlation functions can be generated by adding colored noise to the spike threshold with Type I correlations generated with slow noise and Type II correlations generated with fast noise. A first-order autoregressive (AR) process with a single parameter is sufficient to predict and accurately match both types of afferent ISI correlation functions, with the type being determined by the sign of the AR parameter. The predicted and experimentally observed correlations are in geometric progression. The theory predicts that the limiting sum of ISI correlations is [Formula: see text] yielding a perfect DC-block in the power spectrum of the spike train. Observed ISI correlations from afferents have a limiting sum that is slightly larger at [Formula: see text] ([Formula: see text] ). We conclude that the underlying process for generating ISIs may be a simple combination of low-order AR and moving average processes and discuss the results from the perspective of optimal coding. Springer Berlin Heidelberg 2022-10-16 2022 /pmc/articles/PMC9691502/ /pubmed/36244004 http://dx.doi.org/10.1007/s00422-022-00946-5 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Article
Sidhu, Robin S.
Johnson, Erik C.
Jones, Douglas L.
Ratnam, Rama
A dynamic spike threshold with correlated noise predicts observed patterns of negative interval correlations in neuronal spike trains
title A dynamic spike threshold with correlated noise predicts observed patterns of negative interval correlations in neuronal spike trains
title_full A dynamic spike threshold with correlated noise predicts observed patterns of negative interval correlations in neuronal spike trains
title_fullStr A dynamic spike threshold with correlated noise predicts observed patterns of negative interval correlations in neuronal spike trains
title_full_unstemmed A dynamic spike threshold with correlated noise predicts observed patterns of negative interval correlations in neuronal spike trains
title_short A dynamic spike threshold with correlated noise predicts observed patterns of negative interval correlations in neuronal spike trains
title_sort dynamic spike threshold with correlated noise predicts observed patterns of negative interval correlations in neuronal spike trains
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9691502/
https://www.ncbi.nlm.nih.gov/pubmed/36244004
http://dx.doi.org/10.1007/s00422-022-00946-5
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