Abstract
The Abel type differential equation governing the kinetics of the enzyme reactions is derived. Approximate solutions of this equation corresponding to the transient phase of the reaction, before a steady state is reached, are considered. It is shown that in several cases it is possible to obtain explicit, approximate solutions to the transient phase.
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Darvey, I.G., A.H. Klotz and M. Ritter, “Numerical Solution of the Enzyme Kinetics Equations.” To be published.
Darvey, I. G. and R. F. Matlak. 1967. “An Investigation of a Basic Assumption in Enzyme Kinetics Using Results of the Geometric Theory of Differential Equations.”Bull. Math. Biophys.,29, 335–341.
Michaelis, L. and M. L. Menten. 1913. “Die Kinetik der Invertinwirkung.”Biochem. Z.,49, 333–369.
Murphy, G. M. 1960.Ordinary Differential Equations and Their Solutions, pp. 23–27. New York: Van Nostrand.
Swoboda, P. A. T. 1957. “The Kinetics of Enzyme Action.”Biochem. Biophys. Acta,23, 70–80.
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Darvey, I.G., Klotz, A.H. & Ritter, M. On the kinetics of enzyme reactions. Bltn Mathcal Biology 40, 727–734 (1978). https://doi.org/10.1007/BF02460603
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DOI: https://doi.org/10.1007/BF02460603