Abstract
The relationships between various size distributions in balanced exponential growth of a batch culture of microorganisms are presented. Starting from the partial differential integral equations (Eakmanet al., 1966; Fredricksonet al., 1967) derived for the growth of a microbial culture expressions are obtained for the growth rate of organisms of specific size and size range. These expressions were first obtained by Collins and Richmond (1962) by an entirely different method. Also derived are equations which link probability functions, which are basic to the growth of a microbial culture, with other size distributions that can be estimated experimentally.
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Literature
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Ramkrishna, D., Fredrickson, A.G. & Tsuchiya, H.M. On relationships between various distribution functions in balanced unicellular growth. Bulletin of Mathematical Biophysics 30, 319–323 (1968). https://doi.org/10.1007/BF02476699
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DOI: https://doi.org/10.1007/BF02476699