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
10100t (h)C (mg/L)25 mg/L3 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the vancomycin level is 25 mg/L. The half-life is 10 h, and the drug is eliminated by first-order kinetics. What is the level C 3 h later?

C₀ = 25 mg/Lt½ = 10 ht = 3 h
C = mg/L
2.Easy
110100t (h)C (mg/L)9 mg/L1.5 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the gentamicin level is 9 mg/L. The half-life is 2.5 h, and the drug is eliminated by first-order kinetics. What is the level C 1.5 h later?

C₀ = 9 mg/Lt½ = 2.5 ht = 1.5 h
C = mg/L
3.Medium
10100t (h)C (mg/L)1 h25 mg/L9 h13.5 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of vancomycin, the level is 25 mg/L at 1 h and 13.5 mg/L at 9 h. Assume first-order elimination. Find the half-life t½.

C1 = 25 mg/L (1 h)C2 = 13.5 mg/L (9 h)
t½ = h
4.Medium
Vd = 0.5 L/kgC = 10 mg/LLD = ? mg68 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 68 kg patient is to be loaded intravenously with aminophylline to reach a theophylline level of 10 mg/L. The volume of distribution is 0.5 L/kg and the salt factor is S = 0.8. Find the loading dose LD of aminophylline in mg.

68 kgVd = 0.5 L/kgC = 10 mg/LS = 0.8
LD = mg
5.Hard
t (h)C (mg/L)Css​9 hC = ?

Practice exercise (made-up values, not clinical guidance). A theophylline infusion runs at 25 mg/h with no loading dose. The patient's clearance is 2.5 L/h and the half-life is 8 h. What is the level C after 9 h?

R = 25 mg/hCL = 2.5 L/ht½ = 8 ht = 9 h
C = mg/L
6.Hard
70 kg71 · manSCr 2.5 mg/dLCrCl → τ = ? h

Practice exercise (made-up values, not clinical guidance). A 71-year-old man weighs 70 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 gentamicin regimen is 80 mg every 8 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.

71 years70 kgmanSCr = 2.5 mg/dL80 mg q8hCrCl normal 120 mL/min
τ = h

Answer key

  1. 1. C = 20.31 mg/L
  2. 2. C = 5.938 mg/L
  3. 3. t½ = 8.999 h
  4. 4. LD = 425 mg
  5. 5. C = 5.415 mg/L
  6. 6. τ = 35.8 h

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