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JadeDemilich
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PostSubject: Formula Notebook   25.02.15 11:51

Me freaking out about college nonsense- don't mind:

When growing exponentially by binary fission, the increase in a bacterial population is by geometric progression. If we start with one cell, when it divides, there are 2 cells in the first generation, 4 cells in the second generation, 8 cells in the third generation, and so on. The generation time is the time interval required for the cells (or population) to divide.

G (generation time) = (time, in minutes or hours)/n(number of generations)

G = t/n

t = time interval in hours or minutes

B = number of bacteria at the beginning of a time interval

b = number of bacteria at the end of the time interval

n = number of generations (number of times the cell population doubles during the time interval)

b = B x 2n (This equation is an expression of growth by binary fission)

Solve for n:

logb = logB + nlog2

n = logb - logB
log2

n = logb - logB
.301

n = 3.3 logb/B

G = t/n

Solve for G

G = t
3.3 log b/B


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