Half Life Calculator

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Half-Life Calculator

Calculate drug half-life, elimination rate constant, or remaining drug amount.

Enter k in reciprocal time units, such as h⁻¹.
Calculation Result

Half-Life Formula

t½ = 0.693 / k
D = D₀ × (1/2)t/t½

Where is the half-life, k is the first-order elimination rate constant, D₀ is the initial amount, and D is the amount remaining after time t.

Drug Half-Life and Elimination

The half-life of a drug is the time required for its concentration or amount in the body to decrease by 50%. It is an important pharmacokinetic parameter used when determining dosing intervals, drug accumulation, and the time required to reach steady state.

For drugs exhibiting first-order elimination, the half-life is related to the elimination rate constant by the equation t½ = 0.693/k.

Half-Lives Elapsed Amount Remaining Percentage Remaining
0 1 × D₀ 100%
1 0.5 × D₀ 50%
2 0.25 × D₀ 25%
3 0.125 × D₀ 12.5%
4 0.0625 × D₀ 6.25%
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