In practice, four weeks is not a magic number, it is approximately five half-lives, which is the interval over which a weekly compound reaches steady state after a dose change. Escalating faster means escalating onto a rising concentration.
Missing a dose by three days on a weekly schedule takes the trough down by less than a factor of 1.35, which is well inside the variation you would see between two on-time weeks. Missing it by five or more days is where the label instructions start to differ between agents, and the reason is how close the next scheduled dose is rather than any mechanistic threshold.
Worth being precise here: the argument against splitting a weekly dose is arithmetic rather than ideological. Peak-to-trough ratio for a seven-day half-life compound dosed weekly is about two. Split it into twice-weekly and the ratio falls to roughly 1.4. That is a real reduction in fluctuation and a negligible one in absolute terms, and you have doubled the number of stopper piercings and the number of small-volume measurements, each of which carries its own error.
The pharmacokinetics of the acylated agonists are well described: absorption from the subcutaneous depot is slow and rate-limiting, the elimination half-life is approximately one week, and steady state is reached in four to five weeks. Every dosing question in this section follows from those three facts.
Write down in advance what would make you hold a step, because deciding that in the middle of a bad week is not when you are at your most analytical.
edited 1 Sept 2025 by eighty_six_hours — added the method parameters