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Estimate of phytoplankton division rates by the mitotic index method: The fmax approach revisited
Publication year - 1992
Publication title -
limnology and oceanography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.7
H-Index - 197
eISSN - 1939-5590
pISSN - 0024-3590
DOI - 10.4319/lo.1992.37.3.0644
Subject(s) - division (mathematics) , mitosis , cell division , mitotic index , phase (matter) , population , function (biology) , upper and lower bounds , index (typography) , statistics , biology , mathematics , physics , environmental science , microbiology and biotechnology , cell , mathematical analysis , genetics , computer science , quantum mechanics , arithmetic , demography , sociology , world wide web
The mitotic index method is re‐examined by solving an idealized case analytically. A lower bound for the daily division rate of a phased cell population can be computed as ln[(1 + f max )/(1 + f min ) ] where f max and f min are the maximal and minimal fractions of cells in a terminal phase of the cell cycle (e.g. mitosis) over a light: dark cycle. This new formula extends the previous analysis of McDuff and Chisholm to the case of slow‐growing cells that spend more than 1 d in the terminal phase. It should be useful in the case of phytoplankton populations growing in oligotrophic waters. Further, the error between this lower bound and the actual value of the division rate is expressed as a function of the durations of the terminal phase and of the division burst.