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)

1.00 hours

* Time required for the cell count to double.

Generations (n) 3.00
Growth Rate (μ) 1.000 gen/hr
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Log Phase Validity

Ensure measurements are taken during active logarithmic (exponential) growth phase.

Generation Times across Microorganisms Reference Table

Organism / Microbe Growth Conditions Generation Time (G) Generations per Hour (μ)
Escherichia coli Optimal LB broth, 37°C 20 minutes (0.33 hrs) 3.00 gen/hr
Saccharomyces cerevisiae (Yeast) YPD medium, 30°C 90 minutes (1.50 hrs) 0.67 gen/hr
Bacillus subtilis Nutrient broth, 37°C 26 minutes (0.43 hrs) 2.31 gen/hr
Mycobacterium leprae In vivo (Armadillo model) 14 days (336 hrs) 0.003 gen/hr

Calculation Methodology & Equations

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Generations (n)

n = (log₁₀(Nₜ) - log₁₀(N₀)) / log₁₀(2)

Measures total doubling cycles.

Generation Time (G)

G = t / n

Time per binary fission cycle.

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Growth Rate (μ)

μ = n / t

Generations per unit time.

Frequently Asked Questions

What is Generation Time in microbiology?

Generation time (G) is the time required for a microbial population to double in cell number via binary fission during exponential growth.

How is Generation Time calculated?

First calculate number of generations n = (log10(Nt) - log10(N0)) / log10(2). Then divide elapsed time by generations: G = t / n.

What is the relationship between Generation Time and Growth Rate (μ)?

They are inversely proportional: Growth rate μ = 1 / G (in generations per hour) or μ = ln(2) / G (specific growth rate constant).

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