Cybernetic modeling of bacteriol cultures at low growth rates: Single‐substrate systems

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Abstract
The cybernetic framework developed by Ramkrishna and co‐workers has been expanded to include the effects of cellular maintenance energy requirements on biomass levels in slow‐growing, carbon‐substrate‐limited cultures. A simple structured model, based on the existence of distinct key enzymes for growth and maintenance functions, is presented. Comparisons of the model with experimental data for the growth of Klebsiella oxytoca in constant fed‐batch culture on glucose, fructose, arabinose, and xylose show good agreement. In addition, perturbed fed‐batch culture experiments indicate that slow‐growing cultures respond less rapidly to a removal of the growth limitation than do faster‐growing ones. The possibility of a growth‐rate dependent “critical resource” is discussed.

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