If there are 10^3 cells per mL at the middle of log phase, and the generation time of the cells

step 1 We have 10 to 3 cells per milliliter, and we're in the middle of the log phase, so we're going t

If there are 10^3 cells per mL at the middle of log phase,...

If there are $10^{3}$ cells per $\mathrm{mL}$ at the middle of log phase, and the generation time of the cells is 30 minutes, how many cells will there be 2 hours later?
a) $2 \times 10^{3}$
b) $4 \times 10^{3}$
c) $8 \times 10^{3}$
d) $1.6 \times 10^{4}$
e) $1 \times 10^{7}$

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Key Concepts

Generation Time

Generation time refers to the time interval required for a population of cells to double in number. It is a critical parameter in understanding the rate of cell proliferation and is used to predict how quickly a population will grow, especially during the exponential or log phase.

Log Phase

The log phase, or exponential phase, is a period in the growth curve of a cell population where cells divide at a constant and rapid rate, leading to exponential increase in cell number. It is the phase where conditions are most favorable for growth, and the dynamics of doubling due to generation time are most clearly observed.

Exponential Growth

Exponential growth is a pattern where the quantity increases at a rate proportional to its current value, leading to faster and faster increases over time. In biological systems, particularly in cell populations, this means that each cell division results in a doubling of the number of cells, assuming ideal conditions and unlimited resources.

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