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
t/t½C/Css (%)100%4f = ?

Practice exercise (made-up values, not clinical guidance). A patient receives aminophylline as a constant IV infusion without a loading dose. The half-life is 8 h. What percentage f of the steady-state level has been reached after 32 h?

t½ = 8 ht = 32 h
f = %
2.Easy
110100t (h)C (mg/L)25 mg/L19 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the vancomycin level is 25 mg/L. The half-life is 6 h, and the drug is eliminated by first-order kinetics. What is the level C 19 h later?

C₀ = 25 mg/Lt½ = 6 ht = 19 h
C = mg/L
3.Medium
VCss​ = 12 mg/LR = ? mg/hCL = 0.045 L/kg/h57 kg

Practice exercise (made-up values, not clinical guidance). A 57 kg patient receives a theophylline infusion. The clearance is 0.045 L/kg/h. What infusion rate R in mg/h gives a steady-state level of 12 mg/L?

57 kgCL = 0.045 L/kg/hCss = 12 mg/L
R = mg/h
4.Medium
110100t (h)C (mg/L)C₀ = 9 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 9 mg/L and the half-life is 2 h. Find the clearance CL in L/h.

D = 180 mgC₀ = 9 mg/Lt½ = 2 h
CL = L/h
5.Hard
Vd = 0.25 L/kg0.5 → 6 mg/LD = ? mg60 kg

Practice exercise (made-up values, not clinical guidance). A 60 kg patient on regular gentamicin doses is at steady state. The target is a peak of 6 mg/L and a trough of 0.5 mg/L, and the volume of distribution is 0.25 L/kg. Assuming rapid IV doses, what dose D raises the level from the trough to the peak?

60 kgVd = 0.25 L/kgCpeak = 6 mg/LCtrough = 0.5 mg/L
D = mg
6.Hard
t (h)C (mg/L)Css​t = ?90%

Practice exercise (made-up values, not clinical guidance). A vancomycin infusion is started without a loading dose. The half-life in this patient is 10 h. How long t does it take to reach 90% of the steady-state level?

t½ = 10 h90% Css
t = h

Answer key

  1. 1. f = 93.75 %
  2. 2. C = 2.784 mg/L
  3. 3. R = 30.78 mg/h
  4. 4. CL = 6.931 L/h
  5. 5. D = 82.5 mg
  6. 6. t = 33.22 h

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