Calculate exponential growth rate from initial and final quantities over time.
The specific growth rate is the natural logarithm of the growth multiple divided by time. Eight-fold growth is exactly three generations, which is why log₂ is the natural unit for cell counts. Specific growth rate is the standard comparison between culture conditions, because it is independent of starting inoculum size.
Growth Rate
μ = ln(N/N₀) ÷ t; doubling time = ln2 ÷ μ
μ = ln(N/N₀) ÷ t; doubling time = ln2 ÷ μ The specific growth rate is the natural logarithm of the growth multiple divided by time. Eight-fold growth is exactly three generations, which is why log₂ is the natural unit for cell counts.
Specific growth rate is the standard comparison between culture conditions, because it is independent of starting inoculum size.
This calculator takes 3 inputs: Initial quantity, Final quantity, Time elapsed. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.