A general method for modeling cell populations undergoing G1----G0 transitions during development.

The transition from the dividing state to a non-dividing, terminally differentiated state is common to the history of most populations of cells during development. Quantifying such transitions and events related to them is often difficult, even in those cases for which there is a good tissue culture model, because the process is asynchronous and occurs against a background of continued extensive growth. A general model for analyzing these complex population changes is presented here. In the absence of definitive data, the model provides projections of the possible range, under a given set of boundary values, for the rate of terminal differentiation, the overall growth rate, and the degree of cell death. On the other hand, given data on the rate of DNA accumulation, dividing cell fraction, and generation time, the model provides the effective partitioning coefficient between the dividing and non-dividing states averaged over the population, at a given time. These data also allow for an assessment of the degree of actual cell death against a background in which significant numbers of cells are withdrawing from the cell cycle. The types of data required with respect to the model's ability to resolve the nature of a G0 transition "window" within the cell cycle are also discussed.