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 = 0.3 L/kgC = 8 mg/LLD = ?78 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 78 kg needs a loading dose of tobramycin to reach a level of 8 mg/L straight away. The volume of distribution is 0.3 L/kg. Find the loading dose LD in mg.

78 kgVd = 0.3 L/kgC = 8 mg/L
LD = mg
2.Easy
110t (h)C (mg/L)6 mg/L2.5 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 2.5 h, and the drug is eliminated by first-order kinetics. What is the level C 2.5 h later?

C₀ = 6 mg/Lt½ = 2.5 ht = 2.5 h
C = mg/L
3.Medium
Vd = 0.5 L/kgC = 12 mg/LLD = ? mg61 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 61 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.

61 kgVd = 0.5 L/kgC = 12 mg/LS = 0.8
LD = mg
4.Medium
VCss​ = 3 mg/LR = ? mg/minCL = 750 mL/min

Practice exercise (made-up values, not clinical guidance). A patient has a lidocaine clearance of 750 mL/min. What infusion rate R in mg/min keeps the steady-state level at 3 mg/L?

CL = 750 mL/minCss = 3 mg/L
R = mg/min
5.Hard
t (h)C (mg/L)Css​21 hC = ?

Practice exercise (made-up values, not clinical guidance). A theophylline infusion runs at 42 mg/h with no loading dose. The patient's clearance is 3.5 L/h and the half-life is 8 h. What is the level C after 21 h?

R = 42 mg/hCL = 3.5 L/ht½ = 8 ht = 21 h
C = mg/L
6.Hard
VCss,avg​ = 10 mg/LD = ? mg · q8hCL = 0.05 L/kg/h58 kg · S = 1 · F = 1

Practice exercise (made-up values, not clinical guidance). A 58 kg patient takes oral theophylline (F = 1) every 8 h. The clearance is 0.05 L/kg/h. What dose D in mg gives an average steady-state level of 10 mg/L?

CL = 0.05 L/kg/hτ = 8 hS = 1F = 158 kgCss,avg = 10 mg/L
D = mg

Answer key

  1. 1. LD = 187.2 mg
  2. 2. C = 3 mg/L
  3. 3. LD = 457.5 mg
  4. 4. R = 2.25 mg/min
  5. 5. C = 10.05 mg/L
  6. 6. D = 232 mg

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