The total quasi-steady-state approximation for fully competitive enzyme reactions

Morten Gram Pedersen, A.M. Bersani, E. Bersani

    Research output: Contribution to journalJournal articleResearchpeer-review


    The validity of the Michaelis-Menten-Briggs-Haldane approximation for single enzyme reactions has recently been improved by the formalism of the total quasi-steady-state approximation. This approach is here extended to fully competitive systems, and a criterion for its validity is provided. We show that it extends the Michaelis-Menten-Briggs-Haldane approximation for such systems for a wide range of parameters very convincingly, and investigate special cases. It is demonstrated that our method is at least roughly valid in the case of identical affinities. The results presented should be useful for numerical simulations of many in vivo reactions.
    Original languageEnglish
    JournalBulletin of Mathematical Biology
    Issue number1
    Pages (from-to)433-457
    Publication statusPublished - 2007


    • substrate-inhibitor system
    • quasi-steady-state assumption
    • Michaelis-Menten kinetics
    • competitive substrates

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