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Functional calculator

Half-life calculator.

When does a drug reach steady state? How long after the last dose until it's effectively cleared? The same arithmetic that's behind every titration schedule and every washout instruction — exposed.

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GLP-1s & metabolic
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The drug

Most peptide & drug half-lives are published — see the reference profiles
168 = weekly · 24 = daily · 72 = every 3 days

Steady state & washout

~34 d
Time to ~95% steady state (≈5 half-lives)
Steady-state peak (Cmax,ss) mg equiv.
Steady-state trough (Cmin,ss) mg equiv.
Accumulation ratio
Doses to ~95% steady state
1st dose vs steady state
Time to washout (5% remaining)
Time to complete clearance (~1%)
Half-lives elapsed at steady state:
1 → 50% · 2 → 75% · 3 → 87.5% · 4 → 93.75% · 5 → 96.875%
How the drug accumulates toward steady state
Accumulation curve climbing toward steady state. STEADY-STATE PEAK trough 1st dose time (doses)
The math:
Time to steady state ≈ 5 × t½
Accumulation ratio R = 1 / (1 − e−kτ)  where k = ln(2)/t½, τ = dosing interval
Cmax,ss = Dose × R / (1 − e−kτ) · Cmin,ss = Cmax,ss × e−kτ
Washout to f of peak: t = t½ × log₂(1/f)
Methodology

When this number matters.

Titration is half-life math.

The semaglutide 4-week dose-escalation interval is approximately 5 half-lives — long enough for the new dose to reach steady state before the next bump. Faster titration outruns clearance and stacks side effects.

Washout matters for pregnancy.

FDA guidance on semaglutide recommends discontinuation ≥2 months before planned conception. That's roughly 9 half-lives — well past the 5% washout threshold. Long-half-life drugs are unforgiving here.

Pulsatile peptides are different.

Short-half-life GH-releasers (Ipamorelin, GHRP-2) are dosed multiple times daily because the pulse — not the steady level — is therapeutic. Steady-state arithmetic doesn't fully describe them. Background on peptide pharmacology.

Linear approximation

This uses linear (first-order) pharmacokinetics. Most drugs and peptides at therapeutic doses follow this. Saturable metabolism, deep-compartment redistribution, and protein-binding effects can deviate from the model — confirm with the drug's published PK data for high-stakes decisions.

Read the explainer

What accumulation and washout mean in practice.

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Frequently asked

Common questions

What is steady-state concentration?

Steady-state is when the rate of drug entering your body equals the rate leaving — so blood levels stop rising and stabilize at a predictable peak and trough. It takes roughly 4–5 half-lives of consistent dosing to reach steady-state. For a drug with a 24-hour half-life, that's 4–5 days. For semaglutide (~7-day half-life), it takes 4–5 weeks at a fixed dose before levels plateau.

How many half-lives until a drug is completely out of my system?

By convention, '5 half-lives' is considered effectively cleared — about 96.9% gone. By 7 half-lives, it's >99% gone. So a drug with a 24-hour half-life is essentially cleared in 5 days. Note: this is for the parent compound; active metabolites may persist longer.

Why does steady-state matter for dosing?

Side effects and efficacy both correlate with steady-state levels, not your first dose. That's why GLP-1 protocols escalate slowly — each titration step plateaus over 4–5 weeks. Changing dose before reaching steady-state means you haven't seen the full effect of the previous dose. The calculator above shows when you'll plateau on any given dose schedule.

What's the difference between elimination half-life and biological half-life?

Elimination half-life is purely pharmacokinetic — how fast plasma concentration falls by 50%. Biological half-life accounts for downstream effects that outlast plasma clearance (e.g., a peptide gone from blood in hours but binding receptors that take days to recycle). For dosing math, elimination half-life is what you use. For 'when do effects fade,' biological half-life matters too.

How do I calculate dose interval from half-life?

A common rule: dose interval ≈ 1 half-life keeps levels relatively stable. Dose interval > 2 half-lives produces large peak-to-trough swings. For a 7-day half-life drug like semaglutide, weekly dosing keeps levels smooth. For a 24-hour half-life, daily works; every other day produces a sawtooth pattern. The calculator above shows the projected peak/trough at any interval you set.

Why is washout time longer than the half-life?

Because clearance follows first-order kinetics — each half-life removes 50% of what's left, not 50% of the original dose. So after 1 half-life you're at 50%, after 2 at 25%, after 3 at 12.5%, etc. To get below 1%, you need ~7 half-lives. This is why long-half-life drugs (rapamycin ~62 hours, semaglutide ~7 days) take weeks to fully clear once stopped.