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A perturbation solution of Michaelis–Menten kinetics in a “total” framework

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Abstract

In this paper we expand the equations governing Michaelis–Menten kinetics in a total quasi-steady state setting, finding the first order uniform expansions. Our results improve previous approximations and work well especially in presence of an enzyme excess.

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Authors and Affiliations

  1. Dipartimento di Scienze di Base e Applicate per l’Ingegneria (S.B.A.I.), “Sapienza” University, Via A. Scarpa 16, 00161, Rome, Italy

    Guido Dell’Acqua & Alberto Maria Bersani

  2. International Research Center for Mathematics and Mechanics of Complex System (M&MoCS), Cisterna di Latina, Italy

    Alberto Maria Bersani

Authors
  1. Guido Dell’Acqua
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  2. Alberto Maria Bersani
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Correspondence to Guido Dell’Acqua.

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Dell’Acqua, G., Bersani, A.M. A perturbation solution of Michaelis–Menten kinetics in a “total” framework. J Math Chem 50, 1136–1148 (2012). https://doi.org/10.1007/s10910-011-9957-6

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  • DOI: https://doi.org/10.1007/s10910-011-9957-6

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