Accepted answer
Two administrations of 6 mg instead of one of 12 mg — the same 12 mg a week either way. Total weekly exposure is unchanged; what changes is the peak-to-trough ratio, and for an agent with a half-life measured in days the trough barely moves because the dosing interval is already short relative to it. The arithmetic is the easy part: 12 ÷ 2 = 6. Whether it is worth doing is a pharmacokinetic question, and nothing here is medical advice.
Answer first: splitting a weekly dose into smaller more frequent doses reduces peak-to-trough variation, and whether that helps depends entirely on the half-life of the agent.
For a drug with elimination half-life t½ dosed at interval τ, the peak-to-trough ratio at steady state is 2^(τ/t½). With a one-week half-life dosed weekly, τ/t½ = 1, so the ratio is 2 — a factor of two between peak and trough, which is already flat by pharmacological standards.
Concentration and unit conversion at a glance
| Vial | Diluent | Concentration | 0.25 mg | 0.5 mg | 1 mg | 2.5 mg |
|---|
| 5 mg | 1 mL | 5 mg/mL | 5 u | 10 u | 20 u | 50 u |
| 5 mg | 2 mL | 2.5 mg/mL | 10 u | 20 u | 40 u | 100 u |
| 10 mg | 1 mL | 10 mg/mL | 2.5 u | 5 u | 10 u | 25 u |
| 10 mg | 2 mL | 5 mg/mL | 5 u | 10 u | 20 u | 50 u |
| 10 mg | 3 mL | 3.33 mg/mL | 7.5 u | 15 u | 30 u | 75 u |
Units are U-100 insulin units, where 1 unit = 0.01 mL. Divide dose by concentration for millilitres, then multiply by 100.
The relevant detail is that accumulation to steady state takes four to five half-lives regardless of how the dose is divided. Splitting does not shorten it and does not change the average exposure.
The peak-to-trough relationship 2^(τ/t½) is standard pharmacokinetics for a one-compartment model with first-order elimination and is the correct tool for this question.
The caveat is that no split schedule has been evaluated in a trial, so the whole discussion is inference plus report.
Work out 2^(τ/t½) for your agent before arguing about this. It usually settles it.
edited 14 Nov 2024 by gunnar_isaksen — tightened the wording; no substantive change