What is a typical doubling time?
E. coli can double every 20 minutes under optimal conditions. S. aureus takes about 30 minutes, while M. tuberculosis takes 12-24 hours.
Calculator
Enter your values
Results
Final Population
3,276,800
Generations
15.00
Growth Rate (h⁻¹)
2.079
Growth Analysis
Population dynamics
Exponential Phase
The population has gone through 15.00 generations. Assuming unlimited resources (log phase), the growth is exponential.
Growth Rate
Specific growth rate constant (k) is 2.079 per hour. This represents the rate of increase in cell mass or number.
How to Use
Step-by-step instructions
- 1Enter the initial number of bacteria.
- 2Enter the total time elapsed (in hours).
- 3Enter the doubling time (generation time) in minutes.
- 4The calculator will estimate the final population.
Exponential Growth
Calculates the final population based on initial count, time elapsed, and doubling time (generation time).
Nt = N₀ × 2^(t/g)Variables:
NtFinal populationN₀Initial populationtTime elapsedgDoubling timeExample
E. coli Growth
Inputs:
Initial:100
Time:5 hours
Doubling:20 mins
Steps:
- 1.Doubling time = 20 mins = 0.333 hours
- 2.Generations = 5 / 0.333 = 15
- 3.Final = 100 × 2^15 = 3,276,800
Result:
3,276,800 bacteria