Frequency encoded biochemical regulation is more accurate than amplitude dependent control

It is generally recognised in engineering that encoding information in a frequency provides resistance to degradation by noise and an enhanced precision of control. This paper demonstrates how the same arguments can be applied to biochemical control networks. It shows that the conversion of an analogue demand signal to an oscillation is stable against corruption by noise in the input and even against corruption by certain internal chaotic motions. The paper also argues that intracellular transmission of frequency encoded information is robust against noise. These arguments are proposed as a partial explanation of why so many biological regulatory systems are periodic.