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)6 mg/L2 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 h, and the drug is eliminated by first-order kinetics. What is the level C 2 h later?

C₀ = 6 mg/Lt½ = 2 ht = 2 h
C = mg/L
2.Easy
Vd = 0.3 L/kgC = 8 mg/LLD = ?108 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 108 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.

108 kgVd = 0.3 L/kgC = 8 mg/L
LD = mg
3.Medium
110t (h)C (mg/L)C₀ = 8 mg/Lt½ = 2 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 110 mg of tobramycin. The level back-extrapolated to time zero is 8 mg/L and the half-life is 2 h. Find the clearance CL in L/h.

D = 110 mgC₀ = 8 mg/Lt½ = 2 h
CL = L/h
4.Medium
VCss​ = 4 mg/LR = ? mg/minCL = 600 mL/min

Practice exercise (made-up values, not clinical guidance). A patient has a lidocaine clearance of 600 mL/min. What infusion rate R in mg/min keeps the steady-state level at 4 mg/L?

CL = 600 mL/minCss = 4 mg/L
R = mg/min
5.Hard
Vd = 7 L/kg0.5 → 1 mcg/LLD = ? mcg92 kg · S = 1 · F = 0.7

Practice exercise (made-up values, not clinical guidance). A 92 kg patient has a digoxin level of 0.5 mcg/L; the target is 1 mcg/L. The volume of distribution is 7 L/kg and the tablets have F = 0.7. What extra loading dose LD raises the level to the target?

92 kgVd = 7 L/kgC = 0.5 → 1 mcg/LF = 0.7
LD = mcg
6.Hard
t (h)C (mg/L)Css​2 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 9 h. What is the level C after 2 h?

R = 42 mg/hCL = 3.5 L/ht½ = 9 ht = 2 h
C = mg/L

Answer key

  1. 1. C = 3 mg/L
  2. 2. LD = 259.2 mg
  3. 3. CL = 4.765 L/h
  4. 4. R = 2.4 mg/min
  5. 5. LD = 460 mcg
  6. 6. C = 1.713 mg/L

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