Introduction
With repeated dosing a drug accumulates until the amount given equals the amount eliminated in each dosing interval. The concentration then fluctuates around a plateau: the steady-state concentration (Css).
What determines Css
where F is bioavailability, CL clearance and τ the dosing interval (for an infusion, Css = infusion rate ÷ CL).
- Css depends on the dose rate and clearance: doubling the dose doubles Css (in linear kinetics); halving clearance doubles Css.
- The time to reach Css depends only on the half-life: about 4–5 t½, whatever the dose. A higher dose reaches a higher plateau, not a faster one.
- With intermittent dosing there is a peak (Css max) and a trough (Css min); the swing is smaller with shorter intervals, infusions or modified-release forms.
Maintenance and loading doses
A loading dose reaches the target at once when the half-life is long and the effect is needed quickly (e.g. digoxin, amiodarone, phenytoin, aminoglycosides, vancomycin).
Clinical applications
- When to judge effect: the full effect of a regular dose is seen only at steady state; do not increase the dose before 4–5 half-lives (unless a loading dose was given).
- When to measure levels (TDM): only at steady state, at the right time point (trough before the next dose; peak when toxicity is suspected).
- Dose changes: after any change, a new steady state is reached after another 4–5 half-lives.
- Kidney or liver failure: lower clearance → higher Css and a longer time to reach it; reduce the maintenance dose or lengthen the interval, keep the loading dose.
- Interactions: enzyme inhibitors raise Css, inducers lower it, over the following days.
- Compliance: missed doses lower Css; a low trough level suggests non-adherence.
Dose rate and clearance set the height of the steady state; half-life alone sets how long it takes to get there.