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
10100t (h)C (mg/L)30 mg/L1 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the vancomycin level is 30 mg/L. The half-life is 6 h, and the drug is eliminated by first-order kinetics. What is the level C 1 h later?

C₀ = 30 mg/Lt½ = 6 ht = 1 h
C = mg/L
2.Easy
Vd = 0.3 L/kgC = 6 mg/LLD = ?84 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 84 kg needs a loading dose of tobramycin to reach a level of 6 mg/L straight away. The volume of distribution is 0.3 L/kg. Find the loading dose LD in mg.

84 kgVd = 0.3 L/kgC = 6 mg/L
LD = mg
3.Medium
VCss​ = 25 mg/LR = ? mg/hCL = 110 mL/min

Practice exercise (made-up values, not clinical guidance). Vancomycin is given as a continuous infusion to a patient whose vancomycin clearance is 110 mL/min. What infusion rate R in mg/h gives a steady-state level of 25 mg/L?

CL = 110 mL/minCss = 25 mg/L
R = mg/h
4.Medium
110t (h)C (mg/L)C₀ = 6 mg/Lt½ = 2.5 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 150 mg of gentamicin. The level back-extrapolated to time zero is 6 mg/L and the half-life is 2.5 h. Find the clearance CL in L/h.

D = 150 mgC₀ = 6 mg/Lt½ = 2.5 h
CL = L/h
5.Hard
VCss,avg​ = 25 mg/LD = ? mg · q12hCL = 4.5 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 4.5 L/h. What dose D in mg gives an average steady-state level of 25 mg/L?

CL = 4.5 L/hτ = 12 hS = 1F = 1Css,avg = 25 mg/L
D = mg
6.Hard
t (h)C (mg/L)Css​11 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 8 h. What is the level C after 11 h?

R = 80 mg/hCL = 4 L/ht½ = 8 ht = 11 h
C = mg/L

Answer key

  1. 1. C = 26.73 mg/L
  2. 2. LD = 151.2 mg
  3. 3. R = 165 mg/h
  4. 4. CL = 6.931 L/h
  5. 5. D = 1350 mg
  6. 6. C = 12.29 mg/L

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