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An entropic gradient structure for quasi‐steady‐state approximations of chemical reactions
Author(s) -
Disser Karoline
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610315
Subject(s) - detailed balance , chemical reaction , limit (mathematics) , steady state (chemistry) , statistical physics , space (punctuation) , carry (investment) , reaction rate , physics , state space , dimension (graph theory) , thermodynamics , chemistry , mathematics , mathematical analysis , computer science , catalysis , biochemistry , statistics , finance , pure mathematics , economics , operating system
Passing to the limit of an infinite reaction rate in a slow‐fast system of chemical reactions provides a quasi‐steady state approximation (QSSA) of these systems. In case of reactions with detailed balance condition, this approximation includes a dimension reduction to a smaller state space. We show that the limit dynamics carry an entropic gradient structure on this smaller space. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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