ArticleBulletin of mathematical biology2024
The Michaelis-Menten Reaction at Low Substrate Concentrations: Pseudo-First-Order Kinetics and Conditions for Timescale Separation.
Article in Bulletin of mathematical biology, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Preparation and Evaluation of Long-Acting Injectable Levocetirizine Prodrug Formulation.Pharmaceutics · 2025Article
- StACS3-mediated drought stress adaptation in potato involves interactions with StPP2C2 and St14-3-3 proteins.Frontiers in plant science · 2025Article
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Abstract
We demonstrate that the Michaelis-Menten reaction mechanism can be accurately approximated by a linear system when the initial substrate concentration is low. This leads to pseudo-first-order kinetics, simplifying mathematical calculations and experimental analysis. Our proof utilizes a monotonicity property of the system and Kamke's comparison theorem. This linear approximation yields a closed-form solution, enabling accurate modeling and estimation of reaction rate constants even without timescale separation. Building on prior work, we establish that the sufficient condition for the validity of this approximation is
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