The stability characteristics of a continuous culture system were studied following the addition of the natural product inhibitor, ethanol. For a steady state culture of Klebsiella (Aerobacter) aerogenes there was a linear dependence of growth rate on ethanol concentration. Following impulse and step addition of the inhibitor, response patterns of the growth rate (μ) and overall metabolism (Qo2, QCo2, QAC) were observed. A mathematical model of the transient behavior of a product‐limited system is proposed, and analog computer solutions fitted to the experimental data. The transient response of the growth rate could best be described by second or higher order equations, e.g., with values of the second order time constant (T2) = 5 min, and damping coefficient (ξ) = 0.4.
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Zines et al. (1970) studied this question.
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