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

2019 · doi:10.20944/preprints201907.0230.v1
preprint OA: closed CC-BY-4.0
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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

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License: CC-BY-4.0