Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the vancomycin level is 30 mg/L. The half-life is 6 h, and the drug is eliminated by first-order kinetics. What is the level C 13 h later?
Clinical pharmacokinetics worksheet with answers
Practice exercise (made-up values, not clinical guidance). In a patient, theophylline has an elimination half-life of 6 h. Find the elimination rate constant k in h⁻¹.
Practice exercise (made-up values, not clinical guidance). A 74 kg patient is to be loaded intravenously with phenytoin sodium to reach a phenytoin level of 15 mg/L. The volume of distribution is 0.7 L/kg and the salt factor is S = 0.92. Find the loading dose LD of phenytoin sodium in mg.
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 9 mg/L and the half-life is 2.5 h. Find the clearance CL in L/h.
Practice exercise (made-up values, not clinical guidance). A 52 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 vancomycin infusion is started without a loading dose. The half-life in this patient is 10 h. How long t does it take to reach 90% of the steady-state level?
Answer key
- 1. C = 6.682 mg/L
- 2. k = 0.1155 h⁻¹
- 3. LD = 844.6 mg
- 4. CL = 5.237 L/h
- 5. LD = 415.4 mg
- 6. t = 33.22 h
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