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 = 0.7 L/kgC = 20 mg/LLD = ?67 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 67 kg needs a loading dose of vancomycin to reach a level of 20 mg/L straight away. The volume of distribution is 0.7 L/kg. Find the loading dose LD in mg.

67 kgVd = 0.7 L/kgC = 20 mg/L
LD = mg
2.Easy
t/t½C/Css (%)100%1f = ?

Practice exercise (made-up values, not clinical guidance). A patient receives aminophylline as a constant IV infusion without a loading dose. The half-life is 9 h. What percentage f of the steady-state level has been reached after 9 h?

t½ = 9 ht = 9 h
f = %
3.Medium
Vd = 0.7 L/kgC = 20 mg/LLD = ? mg61 kg · S = 0.92 · F = 1

Practice exercise (made-up values, not clinical guidance). A 61 kg patient is to be loaded intravenously with phenytoin sodium to reach a phenytoin level of 20 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.

61 kgVd = 0.7 L/kgC = 20 mg/LS = 0.92
LD = mg
4.Medium
0.1110t (h)C (mg/L)2 h6 mg/L8 h1.1 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of tobramycin, the level is 6 mg/L at 2 h and 1.1 mg/L at 8 h. Assume first-order elimination. Find the elimination rate constant k.

C1 = 6 mg/L (2 h)C2 = 1.1 mg/L (8 h)
k = h⁻¹
5.Hard
Vd = 0.7 L/kg4.5 → 15 mg/LLD = ? mg76 kg · S = 0.92 · F = 1

Practice exercise (made-up values, not clinical guidance). A 76 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?

76 kgVd = 0.7 L/kgC = 4.5 → 15 mg/LS = 0.92
LD = mg
6.Hard
88 kg51 · womanSCr 1.8 mg/dLCrCl → τ = ? h

Practice exercise (made-up values, not clinical guidance). A 51-year-old woman weighs 88 kg and has a serum creatinine of 1.8 mg/dL (159 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.

51 years88 kgwomanSCr = 1.8 mg/dL1000 mg q12hCrCl normal 120 mL/min
τ = h

Answer key

  1. 1. LD = 938 mg
  2. 2. f = 50 %
  3. 3. LD = 928.3 mg
  4. 4. k = 0.2827 h⁻¹
  5. 5. LD = 607.2 mg
  6. 6. τ = 28 h

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