Generation Time Calculator

Calculate the generation time (doubling time) and growth rate of cells during exponential growth. Essential for modeling bacterial growth phases.

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Growth Variables

Specify initial and final populations and time elapsed.

Generation Time (G)

60.0 mins

* Time required for the cell count to double.

Generations (n) 3.0
Growth Rate (μ) 1.0 gen/hr
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Expert Tip

Ensure measurements are taken during the active logarithmic (exponential) growth phase, as generation formulas do not apply to lag or stationary phases.

Methodology & Calculations

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Generations (n)

Calculated as the number of doubling cycles that took place during growth:

n = (log10(Nt) - log10(N0)) / log10(2)
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Generation Time (G)

The average time it takes for a cell population to double in number:

G = t / n
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Growth Rate (μ)

The growth rate constant represents generations per unit time:

μ = n / t

How to Calculate Bacterial Generation Time

Generation time is the time it takes for a population of cells to double. Here is how to compute it step-by-step:

1

Log the Population Growth

Note the initial population count (B) at time zero, and the final population count (b) after an elapsed time interval (t).

2

Calculate the Number of Generations (n)

Use the logarithmic growth formula: n = (log(b) - log(B)) / log(2).

3

Divide Elapsed Time by Generations

Calculate generation time (G) using: G = t / n.

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