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Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
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Phoniex University
Oct-2001 - Nov-2016
The growth of a bacterial colony can be modeled as a first-order process in which the probability of cell division is linear with respect to time such that dN/N = dt where dN is the number of cells that divide in the time interval dt, and is a constant.
a. Use the preceding expression to show that the number of cells in the colony is given by  where N is the number of cells in the colony and N0 is the number of cells present at t = 0
b. The generation time is the amount of time it takes for the number of cells to double. Using the answer to part (a), derive an expression for the generation time.
c. In milk at 37°C, the bacterium Lactobacillus acidophilus has a generation time of about 75 min. Construct a plot of the acidophilus concentration as a function of time for time intervals of 15, 30, 45, 60, 90, 120, and 150 min after a colony of size N0 is introduced to a container of milk.
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