Laboratory growth curve doubling estimate calculator

Calculate exponential growth rate and doubling time with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use exponential growth rate and doubling time to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Selected exponential-window times (hours)
0,12,24,36
Measured cell counts
100,150,225,337.5
Exponential growth rate (1/hour)
0.033789
Doubling time (hours)
20.514135
Log-space R squared
1

Try another scenario

Selected exponential-window times (hours)
[0, 12, 24, 36]
Measured cell counts
[100, 200, 400, 800]
Exponential growth rate (1/hour)
0.057762
Doubling time (hours)
12
Log-space R squared
1
Calculation method

Calculation method

Exponential growth rate (1/hour)

OLS natural-log(count) against supplied selected times.

Doubling time (hours)

ln2/growth rate when rate>0; nonpositive rates have no positive doubling time.

Log-space R squared

Fit diagnostic for supplied window; does not select exponential phase.

Symbols and units
a
Selected exponential-window times (hours)
b
Measured cell counts

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Time-count observations, selected exponential window. Returns Fitted growth rate and doubling estimate. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Selected exponential-window times (hours): minimum None, maximum 1000000000000.0. Measured cell counts: minimum 1e-12, maximum 1000000000000.0.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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