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
110t (h)C (mg/L)7 mg/L6 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 2.5 h, and the drug is eliminated by first-order kinetics. What is the level C 6 h later?

C₀ = 7 mg/Lt½ = 2.5 ht = 6 h
C = mg/L
2.Easy
110100t (h)C (mg/L)35 mg/L16 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the vancomycin level is 35 mg/L. The half-life is 8 h, and the drug is eliminated by first-order kinetics. What is the level C 16 h later?

C₀ = 35 mg/Lt½ = 8 ht = 16 h
C = mg/L
3.Medium
Vd = 0.5 L/kgC = 12 mg/LLD = ? mg76 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 76 kg patient is to be loaded intravenously with aminophylline to reach a theophylline level of 12 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.

76 kgVd = 0.5 L/kgC = 12 mg/LS = 0.8
LD = mg
4.Medium
110100t (h)C (mg/L)C₀ = 12 mg/Lt½ = 2 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 12 mg/L and the half-life is 2 h. Find the clearance CL in L/h.

D = 180 mgC₀ = 12 mg/Lt½ = 2 h
CL = L/h
5.Hard
VCss,avg​ = ?300 mg · q12hCL = 0.05 L/kg/h71 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 71 kg patient takes oral aminophylline (S = 0.8, F = 1) every 12 h. The theophylline clearance is 0.05 L/kg/h. Each dose is 300 mg of aminophylline. Find the average steady-state level Css,avg.

CL = 0.05 L/kg/hτ = 12 hS = 0.8F = 171 kgD = 300 mg
Css,avg = mg/L
6.Hard
VCss,avg​ = ?1000 mg · q12hCL = 3.5 L/hS = 1 · F = 1

Practice exercise (made-up values, not clinical guidance). A patient receives vancomycin IV every 12 h; the vancomycin clearance is 3.5 L/h. Each dose is 1000 mg of vancomycin. Find the average steady-state level Css,avg.

CL = 3.5 L/hτ = 12 hS = 1F = 1D = 1000 mg
Css,avg = mg/L

Answer key

  1. 1. C = 1.326 mg/L
  2. 2. C = 8.75 mg/L
  3. 3. LD = 570 mg
  4. 4. CL = 5.199 L/h
  5. 5. Css,avg = 5.634 mg/L
  6. 6. Css,avg = 23.81 mg/L

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