An entropic gradient structure for quasi-steady-state approximations of chemical reactions

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)