Biochemical systems analysis. I. Some mathematical properties of the rate law for the component enzymatic reactions

Michael A. Savageau

Research output: Contribution to journalArticle

422 Scopus citations

Abstract

A mathematical description of component enzymatic reactions is developed as a first step toward a method of analysis for biochemical systems. This serves to emphasize the particular non-linearities encountered in these components. For a broad class of enzymatic mechanisms the general form of the rate law is a ratio of polynomials in the reactant and modifier concentrations. The degree of the numerator is always less than or equal to the degree of the denominator, and all the coefficients are positive real. The rate law, expressed in factored form, is converted into a sum of simple terms by taking the logarithm. In this form, the rate law is formally amenable to a Bode-type of analysis. These properties form the bases for the systems analyses techniques presented in the subsequent papers. The advantages of this approach for the analysis of enzyme kinetic data are also discussed.

Original languageEnglish (US)
Pages (from-to)365-369
Number of pages5
JournalJournal of Theoretical Biology
Volume25
Issue number3
StatePublished - Dec 1969
Externally publishedYes

ASJC Scopus subject areas

  • Medicine(all)
  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)

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