A theoretical study on the possibility of occurence of damped oscilations in first order enzyme reaction systems with dissociable modifiers

Abstract

The rate equations for the so-called lag-times of some first order enzyme reaction systems with dissociable activator or inhibitor has been analyzed theoretically as well as experimentally. The experimental calculation to find in what condition the damped oscilation takes place in the system has been carried out by an electronic digital computor according to the Monte Carlo method. It was found that there are some possibilities that the transient state of enzyme reactions modified by the presence of a dissociable activator or inhibitor may be accompanied with a damped oscilation.