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An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains
Version 1
: Received: 18 July 2019 / Approved: 22 July 2019 / Online: 22 July 2019 (04:44:16 CEST)
A peer-reviewed article of this Preprint also exists.
Cofré, R.; Videla, L.; Rosas, F. An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains. Entropy 2019, 21, 884, doi:10.3390/e21090884. Cofré, R.; Videla, L.; Rosas, F. An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains. Entropy 2019, 21, 884, doi:10.3390/e21090884.
Abstract
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 the3literature of non-equilibrium statistical mechanics. This article provides a comprehensive overview of these issues, with a focus in the case of spike train statistics. We provide a detailed account of the5mathematical foundations and work out examples to illustrate the key concepts and results from non-equilibrium statistical mechanics
Keywords
non-equilibrium steady states; maximum entropy principle; spike train statistics; entropy production
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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