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Embedding efficient calculation instructions into biochemical system hasalways been a research focus in synthetic biology. One of the key problems ishow to sequence the chemical reaction modules that act as units of computationand make them alternate spontaneously. Our work takes the design of chemicalclock signals as a solution and presents a $4$-dimensional chemical oscillatormodel based on relaxation oscillation to generate a pair of symmetric clocksignals for two-module regulation. We give detailed dynamical analysis of themodel and discuss how to control the period and occurrence order of clocksignals. We also demonstrate the loop control of molecular computations andprovide termination strategy for them. We can expect that our design for moduleregulation and loop termination will help advance the embedding of morecomplicate calculations into biochemical environments.

Chemical relaxation oscillator designed to control molecular computation