In this section we will introduce both models briefly. For the derivation of the formulas we refer to appendix A
The starting point of both methods is the notion that the experimental output for some cell cycle trait ( ) at time t is the average output of all individuals (Creanor & Mitchison, 1982, 1994) distributed over the cell cycle. Let be the distribution function describing the collection of cells in state x at time t, and assume that is the unique value of the trait of an individual cell in state x, then the average output can be written as
where is the set of attainable states. Our goal is to find from the experimental time series and experimental information about the distribution . The methods differ in assumptions about the distribution function in eq. (1).