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Bacteria Growth — result sheet
Calculate continuous idealized population growth from an initial population, a positive doubling time, and elapsed hours.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: N = N0 x 2^(elapsed time / doubling time); number of doublings = elapsed time / doubling time.
This is a continuous idealized closed-population model. It assumes a constant doubling time and no carrying capacity, death, nutrient depletion, or measurement uncertainty. Elapsed time divided by doubling time must be finite and no greater than 40 so the exponential result remains safely finite.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Initial population — individuals; minimum 0; maximum 1000000000000
- Doubling time — hours; Must be positive.; minimum 1.0E-6; maximum 1000000
- Elapsed time — hours; The elapsed-to-doubling ratio must be at most 40.; minimum 0; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Initial population | 1000 |
| Doubling time | 2 |
| Elapsed time | 6 |
The idealized population is 8,000 after 3 doublings.
Assumptions and limits
- Initial population is a nonnegative finite number from 0 through 1e12, and time values are in matching hours.
- Doubling time is positive, elapsed time is nonnegative, and the model uses continuous N = N0 x 2^(elapsed/doubling).
- The model has no carrying capacity, death, nutrient depletion, lag phase, changing rate, or measurement-uncertainty calculation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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