Rigorous Analysis of the Quasi-Steady-State Assumption in Enzyme Kinetics

We study, from a purely quantitative point of view, the quasi-steady-state assumption for the fundamental mathematical model of the general enzymatic reaction. In particular, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semanti...

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Bibliographic Details
Main Authors: Vasiliki Bitsouni, Nikolaos Gialelis, Ioannis G. Stratis
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/7/1086
Description
Summary:We study, from a purely quantitative point of view, the quasi-steady-state assumption for the fundamental mathematical model of the general enzymatic reaction. In particular, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="normal">i</mi><mo>)</mo></mrow></semantics></math></inline-formula> we introduce a simple, yet generic, algorithm for the proper scaling of the corresponding problem, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ii</mi><mo>)</mo></mrow></semantics></math></inline-formula> we define the two essential parts (the standard and the reverse) of the quasi-steady-state assumption in a quantitative fashion, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>iii</mi><mo>)</mo></mrow></semantics></math></inline-formula> we comment on the dispensable, although widely adopted, third part (the total) of it.
ISSN:2227-7390