Abstract
A mathematical model of aerobic bacterial metabolic processes is developed and used to derive the Monod equation, a second-order differential BOD equation, an equation relating specific bacterial growth rate to specific bacterial respiration rate, and a rationale for continuous respirometric growth rate control of the activated sludge process. The model consists of rate equations for both viable and nonviable cells. It is shown that the continuous respirometric data could be used to calculate the amount of new protoplasm synthesized over a day’s time.
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