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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Bibliographic Details
Published in:Entropy
Main Authors: Rodrigo Cofré, Leonardo Videla, Fernando Rosas
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Subjects:
non-equilibrium steady states
maximum entropy principle
spike train statistics
entropy production
Online Access:https://www.mdpi.com/1099-4300/21/9/884
Description
Summary: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.
ISSN:1099-4300

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