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    An integral equation model for a binary fission process 

    Winley, Graham K. (2010)

    A new probabilistic modeling approach is used to describe the transient and stable stages of growth of a population consisting of viable cells and vegetative cells. Viable cells are capable of division at the end of a random life-time (generation time) and when a cell divides it produces exactly two newborn cells. On average, at time t, α(t) of these two newborn cells are viable cells and 2 - α(t) are vegetative cells, which do not divide at any time. The model is developed by modifying the integral equation used by demographers to study the ...