Accepted answer
The windows are all calibrated to the same underlying quantity — how far above the normal peak you land if you take a late dose and then the next scheduled dose anyway — and once you compute that, three apparently arbitrary numbers turn out to sit in a narrow band of 12 to 18 %. The differences in days come from the different half-lives producing the same overshoot at different intervals.
The model
One compartment, instantaneous absorption, first-order elimination. Take one dose's worth of drug as 1 unit. At steady state on a weekly schedule the peak is R = 1/(1 − 2^(−7/t½)) units and the trough is R − 1. So:
- Semaglutide, half-life about 7 days:
R = 1/(1 − 2^(−1.00)) = 1/0.500 = 2.000. Peak 2.000, trough 1.000.
- Tirzepatide, half-life about 5 days:
R = 1/(1 − 2^(−1.40)) = 1/0.621 = 1.610. Peak 1.610, trough 0.610.
- Dulaglutide, half-life about 4.7 days:
R = 1/(1 − 2^(−1.489)) = 1/0.644 = 1.554. Peak 1.554, trough 0.554.
Notice already that a longer half-life means more accumulation and a tighter peak-to-trough ratio. Semaglutide doubles; tirzepatide accumulates to only 1.61 times a single dose.
Using each window to its limit
Scenario: the day-7 dose is missed, taken d days late, and the day-14 dose is then taken on schedule.
Semaglutide, d = 5 (taken day 12, next dose 2 days later):
- Level at day 12 =
2.000 × 2^(−12/7) = 2.000 × 0.3048 = 0.610.
- Late dose taken:
0.610 + 1 = 1.610.
- Level at day 14 =
1.610 × 2^(−2/7) = 1.610 × 0.8206 = 1.321.
- Scheduled dose taken:
1.321 + 1 = 2.321.
- Against a normal peak of 2.000, that is +16 %.
Tirzepatide, d = 4 (taken day 11, next dose 3 days later):
- Level at day 11 =
1.610 × 2^(−11/5) = 1.610 × 0.2176 = 0.350.
- Late dose:
1.350.
- Level at day 14 =
1.350 × 2^(−3/5) = 1.350 × 0.6598 = 0.891.
- Scheduled dose:
1.891. Against a normal peak of 1.610, that is +17 %.
Dulaglutide, d = 3 (taken day 10, next dose 4 days later):
- Level at day 10 =
1.554 × 2^(−10/4.7) = 1.554 × 0.2288 = 0.356.
- Late dose:
1.356.
- Level at day 14 =
1.356 × 2^(−4/4.7) = 1.356 × 0.5545 = 0.752.
- Scheduled dose:
1.752. Against a normal peak of 1.554, that is +13 %.
Three labels, three different day counts, and an overshoot of 16, 17 and 13 %. The windows are not arbitrary and they are not simply proportional to half-life either — they are the day counts at which each agent's overshoot stays inside roughly a sixth of its normal peak. Dulaglutide's is the most conservative of the three, which is consistent with it being the oldest of them.
Summary table
| Agent | Terminal half-life | Dosing interval in half-lives | Steady-state accumulation ratio | Missed-dose window | Minimum interval between doses | Peak overshoot at window limit |
| Semaglutide, weekly subcutaneous | about 7 days (165 h) | 1.00 | 2.00 | 5 days | 48 hours | +16 % |
| Tirzepatide, weekly | about 5 days | 1.40 | 1.61 | 4 days | 72 hours | +17 % |
| Dulaglutide, weekly | about 4.7 days | 1.49 | 1.55 | 3 days | at least 3 days | +13 % |
| Liraglutide, daily | about 13 hours | 1.85 (per 24 h) | 1.38 | no catch-up; the weight-management label re-initiates at the starting dose after more than 3 days | — | — |
| Oral semaglutide, daily | about 7 days | 0.14 (per 24 h) | about 7.5 | no catch-up; skip and resume the next day | — | — |
Why skipping is the alternative and what it costs
The window has to be compared against the option the label offers past it. Skip the dose entirely and resume on day 14:
- Semaglutide level at day 14 with no dose =
2.000 × 0.25 = 0.500, which is half the normal trough.
- Dose taken:
1.500, which is 25 % below the normal peak.
- Recovery:
1.500 → 0.750 → 1.750 → 0.875 → 1.875. Within 6 % of steady state after three doses, so about three weeks.
So the label is choosing between a 16 % overshoot and a 25 % undershoot with a week-long trough dip, and it prefers the overshoot up to five days and the undershoot beyond that. That trade is the entire content of the missed-dose instruction. It is not a safety cliff at day six; it is the point where the arithmetic changes sign.
The minimum interval is the real constraint
The window and the minimum interval are the same constraint stated from opposite ends. "Within five days" plus "at least 48 hours between doses" are consistent because 5 + 2 = 7. Push the late dose to day 13 and the interval to the scheduled dose is 24 hours, which violates the minimum, and the overshoot climbs: level at day 13 = 2.000 × 2^(−13/7) = 0.552, late dose gives 1.552, one day later 1.552 × 0.9057 = 1.406, scheduled dose gives 2.406, or +20 %. The minimum interval exists to stop exactly that.
All of the above describes how published labels were constructed. What anyone does about an actual missed dose is a matter for the label they are dosing from and the clinician who wrote it.
edited 18 Jan 2025 by tess_amankwah — added a caveat about sampling
Sixteen, seventeen and thirteen percent. That is a much better answer than "different half-lives" and it took actual arithmetic to get there. – lucia_marchetti 37 days ago The window plus the minimum interval summing to seven days is obvious once stated and I had never noticed it. – tabular_nums 3 months ago 7The "not a safety cliff, the point where the arithmetic changes sign" line is the correct way to think about every threshold in a label. – vialroom 4 months ago add a comment