Growth in batch culture

Griffiths JB Pirt SJ (1967) The uptake of amino acids by mouse cells (strain LS) during growth in batch culture and chemostat culture the influence of growth rate. Proceedings of the Royal Society of London, Series B 168 421-438. 

Fox, J. T., Drouillard, J. S., Shi, X., and Nagaraja, T. G. (2009b). Effects of mucin and its carbohydrate constituents on Escherichia coli 0157 growth in batch culture fermentation with ruminal or fecal microbial inoculum. J. Anim. Sci. 87, 1304—1313. 

On biological grounds, we have to assume that drJJ ) dN is neuer positive. This derivative is zero in the Malthusian case in other cases, if the derivative were positive, growth in batch cultures would be faster than exponential (a circumstance which is never observed). It was for this reason that was restricted to positive values in the Verhulst-Pearl law. 

One method was first suggested by M Kendrick and Pai (Ml 1), and completed by Monod (M12). Applications of it have been made by Monod (M13), Novick and Szilard (N2), Novick (Nl), Maxon (M7), Herbert et al. (HIO), and others. M Kendrick and Pai assumed that growth would proceed at maximum rate (exponential growth in batch cultures) only if an unlimited supply of nutriment were available. When substrates for growth have been consumed, growth must stop. Hence they postulated that the growth rate is... 

This is not an unreasonable assumption. For instance, growth rate is zero order in substrate concentration as long as that concentration is large enough. Indeed, the very occurrence of exponential growth in batch cultures indicates that metabolic rates are zero order in substrate concentrations therein. 

Fig. 5. Changes in the amounts of intracellular carbohydrates in Catharanthus roseus cells during growth in batch culture.

Production of enzymes degrading plant cell walls has been studied using media containing cellobiose or ammonium ions as limiting nutrients. Pectin lyase was primarily cell-associated during exponential growth in batch culture but accumulated in the supernatant during the stationary phase. 

Radiorespirometry was employed to study carbon metabolism during the growth of Streptomyces coelicolor A3(2) in a minimal medium, which permitted the production of 199 as the sole detectable secondary metabolite. A switch in the pattern of carbon metabolism from the Embden-Myerhof-Parnas pathway to the pentose phosphate pathway occurred during the period of slower growth in batch culture which immediately preceded entry into the stationary phase. This coincided with the period of production of 199. It was proposed that the biosynthesis of 199 is supported by the generation of NADPH during the latter part of the growth [220]. 

Wijsman, M. R., van Dijken, J. P., van Kleeff, B. H., Scheffers, W. A. (1984). Inhibition of fermentation and growth in batch cultures of the yeast Brettanomyces intermedius upon a shift from aerobic to anaerobic conditions (Custers effect). Antonie van Leeuwenhoek, 50(2), 183-192. 

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