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 = 6 mg/LLD = ?64 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 64 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.

64 kgVd = 0.25 L/kgC = 6 mg/L
LD = mg
2.Easy
110t (h)C (mg/L)6 mg/L3 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the tobramycin level is 6 mg/L. The half-life is 2 h, and the drug is eliminated by first-order kinetics. What is the level C 3 h later?

C₀ = 6 mg/Lt½ = 2 ht = 3 h
C = mg/L
3.Medium
110t (h)C (mg/L)2 h8 mg/L5 h3.5 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of gentamicin, the level is 8 mg/L at 2 h and 3.5 mg/L at 5 h. Assume first-order elimination. Find the elimination rate constant k.

C1 = 8 mg/L (2 h)C2 = 3.5 mg/L (5 h)
k = h⁻¹
4.Medium
Vd = 7 L/kgC = 0.8 mcg/LLD = ? mcg55 kg · S = 1 · F = 0.7

Practice exercise (made-up values, not clinical guidance). A 55 kg patient is to be loaded with digoxin tablets to reach a level of 0.8 mcg/L. The volume of distribution is 7 L/kg and the tablets have a bioavailability F = 0.7. Find the total oral loading dose LD in mcg.

55 kgVd = 7 L/kgC = 0.8 mcg/LF = 0.7
LD = mcg
5.Hard
Vd = 0.5 L/kg6 → 12 mg/LLD = ? mg81 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). An 81 kg patient has a theophylline level of 6 mg/L; the target is 12 mg/L. The drug is given intravenously as aminophylline (S = 0.8), and the volume of distribution is 0.5 L/kg. What extra loading dose LD raises the level to the target?

81 kgVd = 0.5 L/kgC = 6 → 12 mg/LS = 0.8
LD = mg
6.Hard
Vd = 0.3 L/kg0.5 → 6 mg/LD = ? mg66 kg

Practice exercise (made-up values, not clinical guidance). A 66 kg patient on regular gentamicin doses is at steady state. The target is a peak of 6 mg/L and a trough of 0.5 mg/L, and the volume of distribution is 0.3 L/kg. Assuming rapid IV doses, what dose D raises the level from the trough to the peak?

66 kgVd = 0.3 L/kgCpeak = 6 mg/LCtrough = 0.5 mg/L
D = mg

Answer key

  1. 1. LD = 96 mg
  2. 2. C = 2.121 mg/L
  3. 3. k = 0.2756 h⁻¹
  4. 4. LD = 440 mcg
  5. 5. LD = 303.8 mg
  6. 6. D = 108.9 mg

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