Abstract:
AIMS:To determine the underlying substrate utilization mechanism in the logistic equation for batch microbial growth by revealing the relationship between the logistic and Monod kinetics. Also, to determine the logistic rate constant in terms of Monod kinetic constants. METHODS AND RESULTS:The logistic equation used to describe batch microbial growth was related to the Monod kinetics and found to be first-order in terms of the substrate and biomass concentrations. The logistic equation constant was also related to the Monod kinetic constants. Similarly, the substrate utilization kinetic equations were derived by using the logistic growth equation and related to the Monod kinetics. CONCLUSION:It is revaled that the logistic growth equation is a special form of the Monod growth kinetics when substrate limitation is first-order with respect to the substrate concentration. The logistic rate constant (k) is directly proportional to the maximum specific growth rate constant (mu(m)) and initial substrate concentration (S(0)) and also inversely related to the saturation constant (K(s)). SIGNIFICANCE AND IMPACT OF THE STUDY:The semi-empirical logistic equation can be used instead of Monod kinetics at low substrate concentrations to describe batch microbial growth using the relationship between the logistic rate constant and the Monod kinetic constants.
journal_name
Lett Appl Microbioljournal_title
Letters in applied microbiologyauthors
Kargi Fdoi
10.1111/j.1472-765X.2008.02537.xsubject
Has Abstractpub_date
2009-04-01 00:00:00pages
398-401issue
4eissn
0266-8254issn
1472-765Xpii
LAM2537journal_volume
48pub_type
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journal_title:Letters in applied microbiology
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