Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the gentamicin level is 9 mg/L. The half-life is 2 h, and the drug is eliminated by first-order kinetics. What is the level C 7.5 h later?
Clinical pharmacokinetics worksheet with answers
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 5 h later?
Practice exercise (made-up values, not clinical guidance). Vancomycin is given as a continuous infusion to a patient whose vancomycin clearance is 6 L/h. What infusion rate R in mg/h gives a steady-state level of 20 mg/L?
Practice exercise (made-up values, not clinical guidance). After an IV dose of tobramycin, the level is 8 mg/L at 1 h and 2 mg/L at 5 h. Assume first-order elimination. Find the elimination rate constant k.
Practice exercise (made-up values, not clinical guidance). A 77 kg patient has a phenytoin level of 4.5 mg/L; the target is 15 mg/L. The drug is given intravenously as phenytoin sodium (S = 0.92), and the volume of distribution is 0.7 L/kg. What extra loading dose LD raises the level to the target?
Practice exercise (made-up values, not clinical guidance). A 100 kg patient takes oral aminophylline (S = 0.8, F = 1) every 8 h. The theophylline clearance is 0.05 L/kg/h. Each dose is 200 mg of aminophylline. Find the average steady-state level Css,avg.
Answer key
- 1. C = 0.6689 mg/L
- 2. C = 1.5 mg/L
- 3. R = 120 mg/h
- 4. k = 0.3466 h⁻¹
- 5. LD = 615.2 mg
- 6. Css,avg = 4 mg/L
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