CHAPTER 10 BACTERIAL REPRODUCTION AND GROWTH OF MICROORGANISMS For a growing bacterial culture, the generation time can be expressed as:
where g is the generation time, t is time, and n is the number of generations. The number of cells of a growing culture are expressed by the equation:
Since l/log102 is equal to 3.3, the original equation for the generation time can be written as:
| where N0 is the number of cells at time 0, N, is the number of cells at any time (t) after time 0, and n is the number of generations. Rearranging this formula:
where g is the generation time, log N, is the logarithm to the base 10 of the number of bacteria at time t, log N0 is the logarithm to the base 10 of the number of bacteria at the starting time, and t is the time period of growth.
By determining cell numbers during the period of active cell division, the generation time can be estimated. A bacterium such as Escherichia coli can have a generation time as short as 20 minutes under optimal conditions. Considering a bacterium with a 20-minute generation time, one cell would multiply to 1,000 cells in 3.3 hours and to 1,000,000 cells in 6.6 hours.
Date: 2015-02-28; view: 1039
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