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Asymptotic analysis of the Michaelis-Menten reaction equations

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Abstract

The irreversible Michaelis-Menten reaction is studied by the use of the method of multiple scales. Three stages of the reaction are identified, one of which is studied in detail. The results are compared with those of two earlier analyses.

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Literature

  • Heineken, F. G., H. M. Tsuchiya and R. Aris. 1967. “On the Mathematical Status of the Pseudo-steady State Hypothesis of Biochemical Kinetics.”Math. Biosci. 1, 95–113.

    Article  Google Scholar 

  • Ignetik, R. 1978. On the Langmuir Adsorption Isotherm. M.Sc. thesis, Monash University.

  • Ignetik, R., M. A. B. Deakin and C. Fandry. 1981. “Phase-plane Analyses of the Michaelis-Menten Reaction Equations.”Bull. Math. Biol. 43, 361–370.

    MATH  MathSciNet  Google Scholar 

  • Ó Mathúna, D. 1971. “The Differential Equations of Enzyme Reaction Kinetics—the Regularisation of a Singular Perturbation.”Proc. R. Ir. Acad. Sci. 71A, 27–51.

    Google Scholar 

  • Nayfeh, A. 1973.Perturbation Methods. New York: Wiley.

    Google Scholar 

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Ignetik, R., Deakin, M.A.B. Asymptotic analysis of the Michaelis-Menten reaction equations. Bltn Mathcal Biology 43, 375–388 (1981). https://doi.org/10.1007/BF02459428

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  • DOI: https://doi.org/10.1007/BF02459428

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