That's an excellent lay explanation and you've got the key concepts right. Let me add some precision.
The accumulation ratio for a drug given at intervals equal to its half-life is approximately 2:1. This means at steady state, your average plasma concentration is about twice what it would be from a single dose. Your peak-to-trough ratio of 1.5–2:1 is correct for once-weekly dosing.
Here's a concrete example. If you take 1.0mg weekly:
- Week 1: After injection, peak ~1.0 dose-equivalents. By end of week, ~0.5 remains.
- Week 2: You inject 1.0 on top of 0.5 remaining. Peak ~1.5. End of week ~0.75 remains.
- Week 3: Inject on top of 0.75. Peak ~1.75. End of week ~0.875.
- Week 4: Inject on top of 0.875. Peak ~1.875. End of week ~0.9375.
- Week 5 (≈ steady state): Inject on top of ~0.94. Peak ~1.94. End of week ~0.97.
You can see how the levels plateau. At steady state, you're oscillating between roughly 1 and 2 dose-equivalents. The drug never fully leaves, which is exactly what makes once-weekly dosing feasible.
Practical implication #1: If you stop taking semaglutide, it doesn't leave your system in one week. It takes 5–7 half-lives (5–7 weeks) for the drug to be essentially eliminated. This is why appetite changes can linger for over a month after the last dose.
Practical implication #2: Don't judge a new dose after one week. You haven't reached steady state. Give it the full 4–5 weeks.
[1] Marbury TC, et al. "Pharmacokinetics and Tolerability of a Single Dose of Semaglutide, a Human Glucagon-Like Peptide-1 Analog, in Subjects With and Without Renal Impairment." Clin Pharmacokinet. 2017;56(11):1381-1390.