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Analysis of a procedure for the determination of kinetic rate constants

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Abstract

This paper is concerned with a mathematical analysis of the modified Guggenheim procedure. Theorems concerning the solutions of the differential equations which describe the general reaction

$$E + SB\xrightarrow{{k_2 }}C + X, C\xrightarrow{{k_3 }}E + D$$

are derived and are used in a general discussion of the validity of the procedure. Numerical results are given to illustrate the general assertions and to obtain the range of values ofE 0 andS 0 for which the procedure is valid and enzymatic reaction such as α-chymotrypsin.

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Literature

  • Filmer, D. L. 1964. To appear.

  • Gutfreund, H. and J. M. Sturtevant. 1956. “The Mechanism of the Reaction of Chymotrypsin with p-Nitrophenyl Acetate.”Biochem. Jour.,63, 656.

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  • Kezdy, F. J. and M. L. Bender. 1962. “The Kinetics of the α Chrymotrypsin-Catalyzed Hydrolysis of p-Nitrophenyl Acetate.”Biochemistry,1, 1097.

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  • Spencer, T. and J. M. Sturtevant. 1959. “The Mechanism of Chymotrypsin-Catalyzed Reactions.”Jour. Am. Chem. Soc.,81, 1874.

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Authors and Affiliations

  1. Brookhaven National Laboratory, Biology Department, Upton, L. I., New York

    David L. Filmer

  2. Brookhaven National Laboratory, Applied Mathematics Department, Upton, L. I., New York

    John R. Cannon

Authors
  1. David L. Filmer
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  2. John R. Cannon
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Additional information

This work performed under the auspices of the U.S. Atomic Energy Commission.

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Filmer, D.L., Cannon, J.R. Analysis of a procedure for the determination of kinetic rate constants. Bulletin of Mathematical Biophysics 27, 253–263 (1965). https://doi.org/10.1007/BF02478402

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  • DOI: https://doi.org/10.1007/BF02478402

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