The Morgan et al. (2003) model

This model makes the following assumptions:

Let denote the probability density function (p.d.f.) of generation time (the random time between successive cell divisions) and let denote the number of renewals in an equilibrium renewal process with inter-occurrence time p.d.f. . Morgan et al.(2003) show that the probablity that a randomly selected cell at time t is [PSI+] is given by