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A particle method for population waves. (English) Zbl 0812.92015

Phase models are useful for studying synchronization of bacterial cell culture growth and other biological events associated with cell cycles. This paper considers a model that allows the growth rate of cells to change at different phases of cell cycle. A particle method is derived for solving the weak formulation of this model, and convergence of the particle method is proved.
Reviewer: Ch.Chiu

MSC:

92D25 Population dynamics (general)
65C20 Probabilistic models, generic numerical methods in probability and statistics
92C99 Physiological, cellular and medical topics
92-08 Computational methods for problems pertaining to biology
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