Practice exercise (made-up values, not clinical guidance). A patient starts regular doses of gentamicin, which has a half-life of 2 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?
Clinical pharmacokinetics worksheet with answers
Practice exercise (made-up values, not clinical guidance). A patient starts regular doses of theophylline, which has a half-life of 8 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?
Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 100 mg of tobramycin. The level back-extrapolated to time zero is 8 mg/L and the half-life is 2.5 h. Find the volume of distribution Vd.
Practice exercise (made-up values, not clinical guidance). After an IV dose of gentamicin, the level is 6 mg/L at 1 h and 2.1 mg/L at 4 h. Assume first-order elimination. Find the elimination rate constant k.
Practice exercise (made-up values, not clinical guidance). A patient's tobramycin half-life is 2 h. The target is a peak of 10 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 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 80% of the steady-state level?
Answer key
- 1. tss = 10 h
- 2. tss = 40 h
- 3. Vd = 12.5 L
- 4. k = 0.3499 h⁻¹
- 5. τ = 6.6 h
- 6. t = 23.22 h
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