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
0.1110t (h)C (mg/L)6 mg/L10 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 3 h, and the drug is eliminated by first-order kinetics. What is the level C 10 h later?

C₀ = 6 mg/Lt½ = 3 ht = 10 h
C = mg/L
2.Easy
110t (h)C (mg/L)7 mg/L2 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the gentamicin level is 7 mg/L. The half-life is 3.5 h, and the drug is eliminated by first-order kinetics. What is the level C 2 h later?

C₀ = 7 mg/Lt½ = 3.5 ht = 2 h
C = mg/L
3.Medium
110t (h)C (mg/L)C₀ = 8 mg/Lt½ = 2.5 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 180 mg of gentamicin. The level back-extrapolated to time zero is 8 mg/L and the half-life is 2.5 h. Find the clearance CL in L/h.

D = 180 mgC₀ = 8 mg/Lt½ = 2.5 h
CL = L/h
4.Medium
Vd = 0.5 L/kgC = 10 mg/LLD = ? mg89 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). An 89 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.

89 kgVd = 0.5 L/kgC = 10 mg/LS = 0.8
LD = mg
5.Hard
t (h)C (mg/L)Css​25 hC = ?

Practice exercise (made-up values, not clinical guidance). A vancomycin infusion runs at 80 mg/h with no loading dose. The patient's clearance is 4 L/h and the half-life is 10 h. What is the level C after 25 h?

R = 80 mg/hCL = 4 L/ht½ = 10 ht = 25 h
C = mg/L
6.Hard
t (h)C (mg/L)Css​t = ?90%

Practice exercise (made-up values, not clinical guidance). A theophylline infusion is started without a loading dose. The half-life in this patient is 8 h. How long t does it take to reach 90% of the steady-state level?

t½ = 8 h90% Css
t = h

Answer key

  1. 1. C = 0.5953 mg/L
  2. 2. C = 4.711 mg/L
  3. 3. CL = 6.238 L/h
  4. 4. LD = 556.3 mg
  5. 5. C = 16.46 mg/L
  6. 6. t = 26.58 h

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