Frequency conversion mechanism in enzymatic feedback systems.

The frequency conversion mechanism in enzymatic feedback systems which can keep the system's natural frequency against oscillating perturbations has been investigated with computer simulations. The results indicate that the feedback system, including time-delay element, has the property that the resulting period of the sustained oscillation is an integral multiple of the system's natural period related to frequency entrainment by relaxation oscillators, and the interaction of this system and oscillating inputs could be represented by the theoretical equation proposed for the synchronization of two interacting oscillating systems.