Different definitions for the lag time and of the duration of the exponential phase can be used to calculate these quantities from growth models. The conventional definitions were compared with newly proposed definitions. It appeared to be possible to derive values for the lag time and the duration of the exponential phase from the growth models and differences between the various definitions could be quantified. All the different values can be calculated from the growth parameters microm, lambda and alpha. Therefore, it appeared to be unnecessary to use complicated mathematical equations; simple equations were adequate. For the Gompertz model the conventional definition of the lag time did not differ appreciably from the newly proposed definition. The end-point of the exponential phase and thus the duration of the exponential phase differed considerably for the two definitions. For the logistic model the two definitions lead to considerable differences for all quantities. It is recommended that the conventional definition is used for calculating the lag time. For the duration of the exponential phase it is recommended that the new definition is used. The value can be calculated, however, directly from the conventional growth parameters.
[1]
Robert L. Buchanan,et al.
A mathematical approach toward defining and calculating the duration of the lag phase
,
1990
.
[2]
K van't Riet,et al.
Modeling of bacterial growth as a function of temperature
,
1991,
Applied and environmental microbiology.
[3]
F. Rombouts,et al.
Modeling of the Bacterial Growth Curve
,
1990,
Applied and environmental microbiology.
[4]
Benjamin Gompertz,et al.
XXIV. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. F. R. S. &c
,
1825,
Philosophical Transactions of the Royal Society of London.
[5]
T. A. Roberts,et al.
The effect of sodium chloride and temperature on the rate and extent of growth of Clostridium botulinum type A in pasteurized pork slurry.
,
1987,
The Journal of applied bacteriology.