Cell Doubling Time Calculator. Step-by-step solution

Enter values

Last update: 2024-06-18

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Initial reference parameter

Final reference parameter

Time duration

Result:

Doublind time: 4 periods

Growth rate: 0.1732 per period

1. Calculate doublind time

Formula

Duration \times \frac{ln (2)}{ln (\frac{Final}{Initial} ​)} ​

4 \times \frac{ln (2)}{ln (\frac{2}{1} ​)} ​

Simplified formula

Duration × ln(2) ÷ (ln(Final ÷ Initial))

4 × ln(2) ÷ (ln(2 ÷ 1))

Solution steps

Calculate natural logarithm

4 × ln(2) ÷ (ln(2 ÷ 1))

ln(2)

= 0.69314718055995

4 × 0.69314718055995 ÷ (ln(2 ÷ 1))

2 ÷ 1

= 2

Calculate natural logarithm

4 × 0.69314718055995 ÷ (ln(2))

ln(2)

= 0.69314718055995

4 × 0.69314718055995 ÷ 0.69314718055995

4 × 0.69314718055995

= 2.7725887222398

2.7725887222398 ÷ 0.69314718055995

2.7725887222398 ÷ 0.69314718055995

= 4

2. Calculate growth rate

Formula

\frac{ln (\frac{Final}{Initial} ​)}{Duration} ​

\frac{ln (\frac{2}{1} ​)}{4} ​

Simplified formula

ln(Final ÷ Initial) ÷ Duration

ln(2 ÷ 1) ÷ 4

Solution steps

ln(2 ÷ 1) ÷ 4

2 ÷ 1

= 2

Calculate natural logarithm

ln(2) ÷ 4

ln(2)

= 0.69314718055995

0.69314718055995 ÷ 4

0.69314718055995 ÷ 4

= 0.17328679513999

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