Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the tobramycin level is 6 mg/L. The half-life is 2.5 h, and the drug is eliminated by first-order kinetics. What is the level C 7 h later?
Clinical pharmacokinetics worksheet with answers
Practice exercise (made-up values, not clinical guidance). A patient who weighs 106 kg needs a loading dose of gentamicin to reach a level of 10 mg/L straight away. The volume of distribution is 0.25 L/kg. Find the loading dose LD in mg.
Practice exercise (made-up values, not clinical guidance). After an IV dose of tobramycin, the level is 6 mg/L at 1 h and 1.9 mg/L at 6 h. Assume first-order elimination. Find the half-life t½.
Practice exercise (made-up values, not clinical guidance). After an IV dose of tobramycin, the level is 10 mg/L at 1 h and 1.8 mg/L at 6 h. Assume first-order elimination. Find the elimination rate constant k.
Practice exercise (made-up values, not clinical guidance). A patient's gentamicin half-life is 2 h. The target is a peak of 8 mg/L and a trough of 1 mg/L. Assuming rapid IV doses and first-order elimination, what dosing interval τ lets the level fall from the peak to the trough? Round to one decimal place.
Practice exercise (made-up values, not clinical guidance). A theophylline infusion runs at 24 mg/h with no loading dose. The patient's clearance is 2 L/h and the half-life is 6 h. What is the level C after 17 h?
Answer key
- 1. C = 0.8615 mg/L
- 2. LD = 265 mg
- 3. t½ = 3.014 h
- 4. k = 0.343 h⁻¹
- 5. τ = 6 h
- 6. C = 10.32 mg/L
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