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  • Title: The unreasonable effectiveness of the total quasi-steady state approximation, and its limitations.
    Author: Eilertsen J, Schnell S, Walcher S.
    Journal: J Theor Biol; 2024 Apr 21; 583():111770. PubMed ID: 38423205.
    Abstract:
    In this note, we discuss the range of parameters for which the total quasi-steady-state approximation of the Michaelis-Menten reaction mechanism holds validity. We challenge the prevalent notion that total quasi-steady-state approximation is "roughly valid" across all parameters, showing that its validity cannot be assumed, even roughly, across the entire parameter space - when the initial substrate concentration is high. On the positive side, we show that the linearized one-dimensional equation for total substrate is a valid approximation when the initial reduced substrate concentration s0/KM is small. Moreover, we obtain a precise picture of the long-term time course of both substrate and complex.
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