Frequency encoding in excitable systems with applications to calcium oscillations

A number of excitable cell types respond to a constant hormonal stimulus with a periodic oscillation in intracellular calcium. The frequency of oscillation is often proportional to the hormonal stimulus, and one says that the stimulus is frequency encoded. Here we develop a theory of frequency encoding in excitable systems and apply it to intracellular calcium oscillations that result from increases in the intracellular level of inositol 1,4,5-trisphosphate.