On the quasi-steady-state assumption in enzyme kinetics: rigorous analysis

2021/09/29 by Vasiliki Bitsouni, Bitsouni, Vasiliki, Nikolaos Gialelis +3
Biochemistry, Genetics and Molecular Biology · Materials Science · #34D15 #34D20 #34E10 #34E15 #37N25 #92C45 #92E20 #Dynamical Systems (math.DS) #Enzyme Structure and Function #FOS: Mathematics #Microbial Metabolic Engineering and Bioproduction #Protein Structure and Dynamics

paper · pdf · doi:10.48550/arxiv.2109.14667

openalex publication_date 2021/09/29 · openalex created_date 2021/10/11 · openalex updated_date 2026/07/28

Abstract

We study, from a purely quantitative point of view, the quasi-steady-state assumption for the fundamental mathematical model of the general enzymatic reaction: we re-establish, on a rigorous basis, certain already known results and we propose a novel approach to the subject, that makes waivable an ambiguous, widely used, practice. In particular, we define the two parts of the assumption in a quantitative fashion, we employ a simple algorithm for the proper scaling of the corresponding problem which naturally provides us with the necessary and sufficient information, and we comment, among other issues, on a dispensable third part of the assumption.

Citations

• A Note on the Kinetics of Enzyme Action

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