LUEDEKING

V. D. Luedeke, "Adipic Acid" in Encyclopedia of Chemical Process andDesign,]. McKetta and W. Cunningham, eds. Vol. 2, Marcel Dekker, Inc., New York, 1977, pp. 128-146. 

Luedeking and Piret<56) proposed that the formation of microbial products could be described by a two parameter model. This was based on their studies of lactic acid fermentation using Lactobacillus delbruekii in which the accumulation of the acid is not directly linked to the growth rate. The function used was ... 

LUEDEKING, R. and Piret, E. L. J. Biochem. Microbiol. Technol. and Eng. 1 (1959) 393. A kinetic study of the lactic acid fermentation. Batch process at controlled pH. 

The estimation of the cell or substrate concentration with the known dilution rate can be done easily by using graphical technique as shown in Figure 6.1 (Luedeking, 1967). From Eq. (6.50), the dilution rate of the first reactor when the inlet stream is sterile is... 

Luedeking, R., "Fermentation Process Kinetics," in Biochemical and Biological Engineering Science, ed.N.Blakebrough. London, England Academic Press, Inc., 1967, pp. 181-243. 

Equation 31 shows the generic model for product synthesis formulated by Luedeking and Piret (1959). In this model, the product synthesis can be associated to growth (term apx), and also in a non-associated form ( 3). In many situations only one of the phenomena is observed - the synthesis is associated or non-associated - employing only one of the terms of Equation 31. Figure 8.5 illustrates the kinetics profiles for the three different possibilities of product synthesis described above. 

Some models utilize the concept of Luedeking and Piret (1959) for growth associated and/or non-growth associated production (Equations 65 to 67). However, in some circumstances, the best fit occurs when the specific death rate kj is considered, instead of the specific growth rate px (Equations 68, 70 and 71) (Linardos et al., 1991 Zeng, 1996a, 1996b). This statement follows the observation that antibody production increases when cells are under conditions of stress. 

Platichthys flesus BSEP AF179307 Partial cds 432 bp Alpermann, T.J., A. Luedeking and A. Koehler, unpublished... 

Luedeking-Pirei equation for the rale of product formation... 

The specific rate of product formation is often given in terms of the Luedeking-Piret equation, which has two parameters a (growth) and P (nongrowth)... 

VD Luedeke, Caprolactam, Encyclopedia of Chemical Processing and Design, Marcel Dekker, New York (1984). 

A final point of importance here is the production of substances other than biomass, since microbial growth processes are used to produce a number of products such as alcohols, antibiotics, vitamins, and so on. A typical model is that of Luedeking and Piret [R. Luedeking and E.L. Piret, J. Biochem. Microbiol. Tech. Eng.. 1. 393 (1959)]. Here... 

Specific growth rate of the producing strain is also a relevant parameter for enzyme production by fermentation. Many enzymes are synthesized as growth-associated metabolites so that cell specific growth rate has a direct impact on enzyme specific rate of synthesis as shown by the non-structured model of Luedeking and Piret (1959) ... 

Liu YC, Liao LC, Wu WT (2000) Cultivation of recombinant Escherichia coli to achieve high ceU density with a high level of penicillin G acylase. Proc Natl Sci Counc ROC(B) 24(4) 156-160 Luedeking R, Piret EL (1959) A kinetic study of the lactic acid fermentation. Batch process at controlled pH. J Biochem Microbiol Technol Eng 1 393 12 Ma JKC, Drake PMW, Christou P (2003) The production of recombinant pharmaceutical proteins in plants. Nat Rev Genet 4 794-805... 

Our presentation of methodologies for interpretation of kinetic data from a bioreactor operated in a batch mode would not be complete without a brief discussion of the Luedeking-Piret model. In a sense this model is related to... 

When only small quantities of product are required, scale-up of production via roller bottles in a laboratory robot assisted facility may be feasible, but this approach is susceptible to contamination. Moreover, ensuring uniform environmental conditions throughout a multitude of bottles is not a trivial task. Control of a small stirred tank bioreactor is more readily accomplished. The kinetics of product formation in animal cells can often be represented in terms of the Luedeking-Piret model (see Section 13.1.5). 

Luedeke M, Linnert CM, Hofer MD, Surowy HM, Rinckleb AE, Hoegel J, Kuefer R, Rubin MA, Vogel W, Maier C. Predisposition for TMPRSS2-ERG fusion in prostate cancer by variants in DNA repair genes. Cancer Epidemiol Biomarkers Prev 2999 18 3030-3035. 

LUEDEKiNG, R. (1967). Biochemical and Biological Engineering Science, Vol. 1 (ed. BLAKEBROUGH, N.), Acadcmic Press, London. 

---