Next Article in Journal
Resilience of Urban Technical Networks
Previous Article in Journal
Pragmatic Hypotheses in the Evolution of Science
Previous Article in Special Issue
Entropy Production and Its Application to the Coupled Nonequilibrium Processes of ATP Synthesis
Open AccessTutorial

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

1
Centro de Investigación y Modelamiento de Fenómenos Aleatorios CIMFAV-Ingemat, Facultad de Ingeniería, Universidad de Valparaíso, Valparaíso 2340000, Chile
2
Centre for Psychedelic Research, Department of Medicine, Imperial College London, London SW7 2DD, UK
3
Centre for Complexity Science and Department of Mathematics, Imperial College London, London SW7 2AZ, UK
4
Data Science Institute, Imperial College London, London SW7 2AZ, UK
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(9), 884; https://doi.org/10.3390/e21090884 (registering DOI)
Received: 12 July 2019 / Revised: 23 August 2019 / Accepted: 7 September 2019 / Published: 11 September 2019
(This article belongs to the Special Issue Entropy Production and Its Applications: From Cosmology to Biology)
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. View Full-Text
Keywords: non-equilibrium steady states; maximum entropy principle; spike train statistics; entropy production non-equilibrium steady states; maximum entropy principle; spike train statistics; entropy production
Show Figures

Figure 1

MDPI and ACS Style

Cofré, R.; Videla, L.; Rosas, F. An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains. Entropy 2019, 21, 884.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map

1
Back to TopTop