Enhanced and non-monotonic effective kinetics of solute pulses under Michaelis–Menten reactions - Archive ouverte HAL Access content directly
Journal Articles Advances in Water Resources Year : 2020

Enhanced and non-monotonic effective kinetics of solute pulses under Michaelis–Menten reactions

(1) , (1) , (2) , (1) , (1)
1
2
Tomás Aquino
Hervé Tabuteau
Yves Méheust

Abstract

Michaelis–Menten kinetics describe a broad range of physical, chemical, and biological processes. Since they are non-linear, spatial averaging of reaction kinetics is non-trivial, and it is not known how concentration gradients affect the global effective kinetics. Here, we use numerical simulations and theoretical developments to investigate the effective kinetics of diffusing solute pulses locally subject to Michaelis–Menten reaction kinetics. We find that coupled diffusion and reaction lead to non-monotonic effective kinetics that differ significantly from the local kinetics. The resulting effective reaction rates can be significantly enhanced compared to those of homogeneous batch reactors. We uncover the different regimes of effective kinetics as a function of the Damköhler number and Michaelis–Menten parameters and derive a theory that explains and quantifies these upscaled kinetics using a weakly-coupled description of reaction and diffusion. We illustrate the consequences of these findings on the accelerated consumption of nutrient pulses by bacteria. These results are relevant to a large spectrum of reactive systems characterized by heterogeneous concentration landscapes.
Fichier principal
Vignette du fichier
hubert-2020.pdf (2.13 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

insu-02935685 , version 1 (10-09-2020)

Identifiers

Cite

Antoine Hubert, Tomás Aquino, Hervé Tabuteau, Yves Méheust, Tanguy Le Borgne. Enhanced and non-monotonic effective kinetics of solute pulses under Michaelis–Menten reactions. Advances in Water Resources, 2020, 146, pp.103739. ⟨10.1016/j.advwatres.2020.103739⟩. ⟨insu-02935685⟩
77 View
64 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More