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

TL;DR

This paper presents a design methodology for altering the frequency of chemical clock signals using gear models, including division and multiplication, validated through simulations.

Contribution

It introduces a novel approach to modify chemical clock frequencies via gear-based mechanisms, expanding on previous work with a systematic design methodology.

Findings

Simulation results confirm the effectiveness of the proposed frequency alteration methods.

The methodology successfully achieves desired frequency division and multiplication.

The approach offers a practical way to control chemical clock signals in synthetic systems.

Abstract

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.