Biological organisms, such as yeast, often exhibit exponential growth. However, in some cases, that rapid rate of

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Biological organisms, such as yeast, often exhibit exponential growth. However, in some cases, that rapid rate of growth cannot be sustained. Such factors as lack of nutrition to support a large population or the buildup of toxins limit the rate of growth. In such cases the curve begins concave up, inflects at some point, and becomes concave down and asymptotic to a limit. A now-classical experiment by Carlson (23) measured the amount of biomass of brewer’s yeast (Saccharomyces Cerevisiae) at one-hour intervals. The table shows the results.

Quantify the population/time relationship by fitting a logistic equation to these data. Let L = 700.

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