Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the gentamicin level is 6 mg/L. The half-life is 3.5 h, and the drug is eliminated by first-order kinetics. What is the level C 9 h later?
Clinical pharmacokinetics worksheet with answers
Practice exercise (made-up values, not clinical guidance). A patient who weighs 63 kg needs a loading dose of gentamicin to reach a level of 8 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 gentamicin, the level is 7 mg/L at 1 h and 2.6 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 receives an IV bolus of 170 mg of tobramycin. The level back-extrapolated to time zero is 7 mg/L and the half-life is 2 h. Find the clearance CL in L/h.
Practice exercise (made-up values, not clinical guidance). A 98 kg patient has a theophylline level of 6 mg/L; the target is 12 mg/L. The drug is given intravenously as aminophylline (S = 0.8), and the volume of distribution is 0.5 L/kg. What extra loading dose LD raises the level to the target?
Practice exercise (made-up values, not clinical guidance). A theophylline infusion is started without a loading dose. The half-life in this patient is 9 h. How long t does it take to reach 80% of the steady-state level?
Answer key
- 1. C = 1.009 mg/L
- 2. LD = 126 mg
- 3. k = 0.1981 h⁻¹
- 4. CL = 8.417 L/h
- 5. LD = 367.5 mg
- 6. t = 20.9 h
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