Asymmetric Branching
The branching model begins with one bacterium born at time 0 whose first division occurs at time m. Every later division produces one faster-growing child with lifetime k and one slower-growing child with lifetime m. Binomial coefficients…
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The branching model begins with one bacterium born at time 0 whose first division occurs at time m. Every later division produces one faster-growing child with lifetime k and one slower-growing child with lifetime m. Binomial coefficients arise because ancestral histories can be classified by how many k- and m-length lifetimes occurred. The recurrence unifies total population, division events, and lifetime-subpopulation counts in the branching model.