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2014 | OriginalPaper | Chapter

18. Use of Receding Horizon Optimal Control to Solve MaxEP-Based Biogeochemistry Problems

Authors : Joseph J. Vallino, Christopher K. Algar, Nuria Fernández González, Julie A. Huber

Published in: Beyond the Second Law

Publisher: Springer Berlin Heidelberg

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Abstract

The maximum entropy production (MaxEP) principle has been applied to steady state systems, but biogeochemical problems of interest are typically transient in nature. To apply MaxEP to biogeochemical reaction networks, we propose that living systems maximum entropy production over appropriate time horizons based on strategic information stored in their genomes, which differentiates them from inanimate chemistry, such as fire, that maximizes entropy production instantaneously. We develop a receding horizon optimal control procedure that maximizes internal entropy production over different intervals of time. This procedure involves optimizing the stoichiometry of a reaction network to determine how biological structure is partitioned to reactions over an interval of time. The modeling work is compared to a methanotrophic microcosm experiment that is being conducted to examine how microbial systems integrate entropy production over time when subject to time varying energy input attained by periodically cycling feed-gas composition. The MaxEP-based model agrees well with experimental results, and model analysis shows that increasing the optimization time horizon increases internal entropy production.

Accepted (July 2012) in: Beyond the Second Law: Entropy Production and Non-Equilibrium Systems. R. C. Dewar, C. H. Lineweaver, R. K. Niven and K. Regenauer-Lieb, Springer.

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Title: Use of Receding Horizon Optimal Control to Solve MaxEP-Based Biogeochemistry Problems
Authors: Joseph J. Vallino
Christopher K. Algar
Nuria Fernández González
Julie A. Huber
Publisher: Springer Berlin Heidelberg
Book: Beyond the Second Law
Print ISBN: 978-3-642-40153-4

Electronic ISBN: 978-3-642-40154-1

Copyright Year: 2014
DOI: https://doi.org/10.1007/978-3-642-40154-1_18