Half-Life Elimination

Use this calculator to estimate how much drug remains after a given time, based on half-life, and determine the time required to reach a target concentration.

Units can be mg, ng/mL, etc. Calculations are proportional.

Hours (convert minutes to hours if needed).

Hours since initial dose.

Used to estimate time to reach target (must be < initial amount).

Results

Remaining amount

35.36

35.4% of the initial 100 remains after 12 hours.

Elimination constant

k = 0.0866 h⁻¹

First-order elimination rate constant.

Assumes first-order kinetics and instantaneous distribution. For multiple doses or non-linear kinetics, use population PK models or therapeutic drug monitoring.

How to Use This Calculator

1

Get half-life data

Use published pharmacokinetic references (Lexicomp, FDA labels) for half-life values.

2

Enter initial amount

Can be dose (mg) or concentration (mg/L). The calculator works proportionally.

3

Estimate target levels

Optional target values help plan washout periods or therapeutic drug monitoring schedules.

Formula

Elimination constant: k = ln(2) ÷ t½.

Applicable to first-order (linear) kinetics. For zero-order or saturable kinetics (e.g., phenytoin, ethanol), use alternative models.

Frequently Asked Questions

What if dosing is repeated?

Use accumulation formulas or population PK software; this calculator models a single dose washout.

Does route of administration matter?

Half-life typically refers to the elimination phase regardless of route, assuming complete absorption.

How accurate is half-life?

Half-life varies with age, organ function, genetics, and drug interactions. Use patient-specific data when available.

Can I use this for biologics?

Yes for monoclonal antibodies that exhibit linear elimination, but note that many have long half-lives (days).

How do I convert to half-lives?

Elapsed time ÷ half-life = # of half-lives. After 5 half-lives, ~3% remains.