Clinical pharmacokinetics worksheet with answers

Free printable Clinical pharmacokinetics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
Vd = 0.25 L/kgC = 10 mg/LLD = ?78 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 78 kg needs a loading dose of gentamicin to reach a level of 10 mg/L straight away. The volume of distribution is 0.25 L/kg. Find the loading dose LD in mg.

78 kgVd = 0.25 L/kgC = 10 mg/L
LD = mg
2.Easy
Vd = 0.25 L/kgC = 6 mg/LLD = ?58 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 58 kg needs a loading dose of gentamicin to reach a level of 6 mg/L straight away. The volume of distribution is 0.25 L/kg. Find the loading dose LD in mg.

58 kgVd = 0.25 L/kgC = 6 mg/L
LD = mg
3.Medium
110t (h)C (mg/L)C₀ = 6 mg/Lt½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 90 mg of gentamicin. The level back-extrapolated to time zero is 6 mg/L and the half-life is 3 h. Find the volume of distribution Vd.

D = 90 mgC₀ = 6 mg/Lt½ = 3 h
Vd = L
4.Medium
Vd = 0.7 L/kgC = 15 mg/LLD = ? mg100 kg · S = 0.92 · F = 1

Practice exercise (made-up values, not clinical guidance). A 100 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.

100 kgVd = 0.7 L/kgC = 15 mg/LS = 0.92
LD = mg
5.Hard
0.1110t (h)C (mg/L)Cpeak​ = 7τ = ?Ctrough​ = 1

Practice exercise (made-up values, not clinical guidance). A patient's tobramycin half-life is 3.5 h. The target is a peak of 7 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.

t½ = 3.5 hCpeak = 7 mg/LCtrough = 1 mg/L
τ = h
6.Hard
81 kg43 · manSCr 2.5 mg/dLCrCl → τ = ? h

Practice exercise (made-up values, not clinical guidance). A 43-year-old man weighs 81 kg and has a serum creatinine of 2.5 mg/dL (221 µmol/L). Estimate the creatinine clearance with Cockcroft–Gault: CrCl (mL/min) = (140 − age) × weight (kg)/(72 × SCr in mg/dL), × 0.85 for women. The usual vancomycin regimen is 1000 mg every 12 h for a creatinine clearance of 120 mL/min. Keeping the dose, the interval is lengthened in proportion to the fall in clearance. Find the new dosing interval τ. Round to one decimal place.

43 years81 kgmanSCr = 2.5 mg/dL1000 mg q12hCrCl normal 120 mL/min
τ = h

Answer key

  1. 1. LD = 195 mg
  2. 2. LD = 87 mg
  3. 3. Vd = 15 L
  4. 4. LD = 1141 mg
  5. 5. τ = 9.8 h
  6. 6. τ = 33 h

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