Synthesizing a Clock Signal with Reactions---Part II: Frequency Alteration Based on Gears

On a chassis of gear model, we have offered a quantitative description for our method to synthesize a chemical clock signal with various duty cycles in Part I. As Part II of the study, this paper devotes itself in proposing a design methodology to handle frequency alteration issues for the chemical clock, including both frequency division and frequency multiplication. Several interesting examples are provided for a better explanation of our contribution. All the simulation results verify and validate the correctness and efficiency of our proposal.