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Full-Text Articles in Physical Sciences and Mathematics
Budding Yeast, Branching Processes, And Generalized Fibonacci Numbers, Peter Olofsson, Ryan C. Daileda
Budding Yeast, Branching Processes, And Generalized Fibonacci Numbers, Peter Olofsson, Ryan C. Daileda
Mathematics Faculty Research
A real-world application of branching processes to a problem in cell biology where the generalized Fibonacci numbers known as k-nacci numbers play a crucial role is described. The k-nacci sequence is used to obtain asymptotics, computational formulas, and to justify certain practical simplifications. Along the way, an explicit formula for the sum of k-nacci numbers is established.