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

Vasiliki Bitsouni, Nikolaos Gialelis and Ioannis G. Stratis
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Vasiliki Bitsouni: Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR-15784 Athens, Greece
Nikolaos Gialelis: Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR-15784 Athens, Greece
Ioannis G. Stratis: Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR-15784 Athens, Greece

Mathematics, 2022, vol. 10, issue 7, 1-29

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. In particular, ( i ) we introduce a simple, yet generic, algorithm for the proper scaling of the corresponding problem, ( ii ) we define the two essential parts (the standard and the reverse) of the quasi-steady-state assumption in a quantitative fashion, and ( iii ) we comment on the dispensable, although widely adopted, third part (the total) of it.

Keywords: enzyme kinetics; quasi-steady-state assumption; standard; reverse; scaling algorithm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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