[Analysis of a simple open biochemical reaction S leads to P by means of E interacting with an enzyme-producing system].

A mathematical model of an open enzymic reaction S leads to P by means of E is analysed. The enzyme E of this reaction undergoes a continuous turnover in the enzyme--producing system (EPS) involving two opposing processes, formation of the enzyme at a constant velocity upsilon e and its irreversible degradation or removal at a rate constant kappa e. In the derivation of the model it was assumed that the substrate S prevents the enzyme from degradation. It was also assumed that the rate of substrate conversion is greatly in excess of that of enzyme turnover, and the reaction product P has no influence on the enzyme. Under these conditions the reaction can adapt itself to slow changes in the rate of substrate influx. A single dramatic change in the substrate influx will lead to damped oscillations in the reaction while periodic changes may give rise to resonance effects.