In the classical age-dependent branching process of Bellman and Harris (Harris (1963)) the death and the production of offspring by an individual coincide. For many biological applications, however, it is necessary to consider a model in which an individual may give birth to offspring at random points of time during his life-span. A Generalized Multi-Dimensional Age-Dependent Branching Process is a stochastic model for the growth of a population of particles (individuals) which may produce new individuals (particles) at random points during their life-span and each individual may belong to one of a finite number of types. Such processes have applications in both biology and physics. Section 12 of the report is devoted to applications of the process to the dynamics of cell populations and population genetics.
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