Self-oscillations in an open biochemical substrate-inhibited reaction interacting with the enzyme-producing system

An open biochemical reaction with substrate inhibition is analysed under conditions of a continuous turnover of its enzyme maintained by the enzyme-producing system (EPS). In this reaction, self-oscillations of a long period may occur in addition to the resonance phenomena found in a simple biochemical reaction with the EPS. A distinctive property of this reaction is also superadaptation with which the total enzyme concentration increases as a square of the substrate influx rate.