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
110100t (h)CC₀t½ = 2.5 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, tobramycin has an elimination half-life of 2.5 h. Find the elimination rate constant k in h⁻¹.

t½ = 2.5 h
k = h⁻¹
2.Easy
Vd = 0.3 L/kgC = 8 mg/LLD = ?97 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 97 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.

97 kgVd = 0.3 L/kgC = 8 mg/L
LD = mg
3.Medium
VCss​ = 4 mg/LR = ? mg/minCL = 650 mL/min

Practice exercise (made-up values, not clinical guidance). A patient has a lidocaine clearance of 650 mL/min. What infusion rate R in mg/min keeps the steady-state level at 4 mg/L?

CL = 650 mL/minCss = 4 mg/L
R = mg/min
4.Medium
Vd = 0.5 L/kgC = 12 mg/LLD = ? mg79 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 79 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.

79 kgVd = 0.5 L/kgC = 12 mg/LS = 0.8
LD = mg
5.Hard
t (h)C (mg/L)Css​28 hC = ?

Practice exercise (made-up values, not clinical guidance). A vancomycin infusion runs at 60 mg/h with no loading dose. The patient's clearance is 3 L/h and the half-life is 10 h. What is the level C after 28 h?

R = 60 mg/hCL = 3 L/ht½ = 10 ht = 28 h
C = mg/L
6.Hard
t (h)C (mg/L)Css​t = ?75%

Practice exercise (made-up values, not clinical guidance). A theophylline infusion is started without a loading dose. The half-life in this patient is 6 h. How long t does it take to reach 75% of the steady-state level?

t½ = 6 h75% Css
t = h

Answer key

  1. 1. k = 0.2773 h⁻¹
  2. 2. LD = 232.8 mg
  3. 3. R = 2.6 mg/min
  4. 4. LD = 592.5 mg
  5. 5. C = 17.13 mg/L
  6. 6. t = 12 h

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