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Steady state and quasi-equilibrium enzyme models: a comparison of equation types

Mathematical Biosciences
Publication Date
DOI: 10.1016/0025-5564(77)90035-9
  • Biology
  • Mathematics


Abstract The velocity equations of steady state and quasi-equilibrium models are proved to have the following equivalence properties: (1) For a large class of steady state enzyme models there exist quasi-equilibrium models with identical velocity equations. (2) To any steady state enzyme model there corresponds a quasi-equilibrium model such that their velocities do not differ measurably from each other if the effector concentrations are not exactly equal to zero and if only insignificant portions of the effectors are bound to the enzyme. Thus even if the true type of an enzyme mechanism is not known, its kinetic properties may well be adequately described by quasi-equilibrium velocity equations under such conditions. Therefore, if no more is sought than an empirical velocity equation (e.g., for mathematical description of an enzyme within a metabolic system), then the mathematically much simpler quasi-equilibrium models may well be used to facilitate finding an equation which describes the observed kinetic properties.

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