On a cell–growth model for plankton
B. Basse, G.C. Wake, D.J.N. Wall and B. Van Brunt
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Abstract
The frequency distribution of diatoms (microscopic unicellular alga with silicified cellwalls, found as plankton) is shown to evolve in time as a steady–size distribution with constant shape, scaled by time. This distribution is preserved when the division occurs at a fixed size into two daughter cells of half–size. In cases where the parameters for growth, division frequency, dispersion and mortality are constants, the frequency distributions can be found explicitly and thus provide a benchmark for computations in more complex cases.
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