An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains

Although most biological processes are characterized by a strong temporal asymmetry, several popular mathematical models neglect this issue. Maximum entropy methods provide a principled way of addressing time irreversibility, which leverages powerful results and ideas from the literature of non-equi...

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Detalles Bibliográficos
Autores principales: Cofré, Rodrigo, Videla, Leonardo, Rosas, Fernando
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Tutorial
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515414/
http://dx.doi.org/10.3390/e21090884
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author Cofré, Rodrigo
Videla, Leonardo
Rosas, Fernando
author_facet Cofré, Rodrigo
Videla, Leonardo
Rosas, Fernando
author_sort Cofré, Rodrigo
collection PubMed
description Although most biological processes are characterized by a strong temporal asymmetry, several popular mathematical models neglect this issue. Maximum entropy methods provide a principled way of addressing time irreversibility, which leverages powerful results and ideas from the literature of non-equilibrium statistical mechanics. This tutorial provides a comprehensive overview of these issues, with a focus in the case of spike train statistics. We provide a detailed account of the mathematical foundations and work out examples to illustrate the key concepts and results from non-equilibrium statistical mechanics.
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spelling pubmed-75154142020-11-09 An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains Cofré, Rodrigo Videla, Leonardo Rosas, Fernando Entropy (Basel) Tutorial Although most biological processes are characterized by a strong temporal asymmetry, several popular mathematical models neglect this issue. Maximum entropy methods provide a principled way of addressing time irreversibility, which leverages powerful results and ideas from the literature of non-equilibrium statistical mechanics. This tutorial provides a comprehensive overview of these issues, with a focus in the case of spike train statistics. We provide a detailed account of the mathematical foundations and work out examples to illustrate the key concepts and results from non-equilibrium statistical mechanics. MDPI 2019-09-11 /pmc/articles/PMC7515414/ http://dx.doi.org/10.3390/e21090884 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Tutorial
Cofré, Rodrigo
Videla, Leonardo
Rosas, Fernando
An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains
title An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains
title_full An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains
title_fullStr An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains
title_full_unstemmed An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains
title_short An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains
title_sort introduction to the non-equilibrium steady states of maximum entropy spike trains
topic Tutorial
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515414/
http://dx.doi.org/10.3390/e21090884
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