Generalized Michaelis–Menten rate law with time-varying molecular concentrations

Lim, Roktaek and Martin, Thomas L. P. and Chae, Junghun and Kim, Woo Joong and Ghim, Cheol-Min and Kim, Pan-Jun and Mendes, Pedro (2023) Generalized Michaelis–Menten rate law with time-varying molecular concentrations. PLOS Computational Biology, 19 (12). e1011711. ISSN 1553-7358

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The Michaelis–Menten (MM) rate law has been the dominant paradigm of modeling biochemical rate processes for over a century with applications in biochemistry, biophysics, cell biology, systems biology, and chemical engineering. The MM rate law and its remedied form stand on the assumption that the concentration of the complex of interacting molecules, at each moment, approaches an equilibrium (quasi-steady state) much faster than the molecular concentrations change. Yet, this assumption is not always justified. Here, we relax this quasi-steady state requirement and propose the generalized MM rate law for the interactions of molecules with active concentration changes over time. Our approach for time-varying molecular concentrations, termed the effective time-delay scheme (ETS), is based on rigorously estimated time-delay effects in molecular complex formation. With particularly marked improvements in protein–protein and protein–DNA interaction modeling, the ETS provides an analytical framework to interpret and predict rich transient or rhythmic dynamics (such as autogenously-regulated cellular adaptation and circadian protein turnover), which goes beyond the quasi-steady state assumption.

Item Type: Article
Subjects: Apsci Archives > Biological Science
Depositing User: Unnamed user with email
Date Deposited: 10 Apr 2024 12:38
Last Modified: 10 Apr 2024 12:38

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