Practice exercise (made-up values, not clinical guidance). The elimination rate constant of theophylline in a patient is 0.077 h⁻¹. Find the half-life t½.
Clinical pharmacokinetics worksheet with answers
Practice exercise (made-up values, not clinical guidance). The elimination rate constant of digoxin in a patient is 0.0173 h⁻¹. Find the half-life t½.
Practice exercise (made-up values, not clinical guidance). After an IV dose of vancomycin, the level is 35 mg/L at 1 h and 14.7 mg/L at 11 h. Assume first-order elimination. Find the half-life t½.
Practice exercise (made-up values, not clinical guidance). An 87 kg patient receives a theophylline infusion. The clearance is 0.045 L/kg/h. What infusion rate R in mg/h gives a steady-state level of 12 mg/L?
Practice exercise (made-up values, not clinical guidance). A patient's gentamicin half-life is 3.5 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 73 kg patient has a phenytoin level of 8 mg/L; the target is 20 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?
Answer key
- 1. t½ = 9.002 h
- 2. t½ = 40.07 h
- 3. t½ = 7.99 h
- 4. R = 46.98 mg/h
- 5. τ = 11.6 h
- 6. LD = 666.5 mg
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