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

Rodrigo Cofre; Leonardo Videla; Fernando Rosas

doi:10.20944/preprints201907.0230.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 18 July 2019 / Approved: 22 July 2019 / Online: 22 July 2019 (04:44:16 CEST)

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

non-equilibrium steady states; maximum entropy principle; spike train statistics; entropy production

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

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