In such organisms as yeast, bacteria, and unicellular algae and protozoa, the logarithmic phase of growth serves to indicate that none of the conditions essential to growth have been significantly altered during that period. Throughout the logarithmic phase of growth, the time elapsing from one cell generation to the next remains constant, and the number of cells doubles in each generation. A falling off in growth rate may indicate the exhaustion of a substrate or the accumulation of inhibitory products.
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Sterling Emerson (1950) studied this question.