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%3f = ?

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 24 h?

t½ = 8 ht = 24 h
f = %
2.Easy
110100t (h)C (mg/L)9 mg/L6.5 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the gentamicin level is 9 mg/L. The half-life is 3 h, and the drug is eliminated by first-order kinetics. What is the level C 6.5 h later?

C₀ = 9 mg/Lt½ = 3 ht = 6.5 h
C = mg/L
3.Medium
110t (h)C (mg/L)C₀ = 7 mg/Lt½ = 3.5 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 110 mg of gentamicin. The level back-extrapolated to time zero is 7 mg/L and the half-life is 3.5 h. Find the clearance CL in L/h.

D = 110 mgC₀ = 7 mg/Lt½ = 3.5 h
CL = L/h
4.Medium
110100t (h)C (mg/L)C₀ = 10 mg/Lt½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 190 mg of tobramycin. The level back-extrapolated to time zero is 10 mg/L and the half-life is 3 h. Find the clearance CL in L/h.

D = 190 mgC₀ = 10 mg/Lt½ = 3 h
CL = L/h
5.Hard
Vd = 0.3 L/kg1 → 10 mg/LD = ? mg95 kg

Practice exercise (made-up values, not clinical guidance). A 95 kg patient on regular tobramycin doses is at steady state. The target is a peak of 10 mg/L and a trough of 1 mg/L, and the volume of distribution is 0.3 L/kg. Assuming rapid IV doses, what dose D raises the level from the trough to the peak?

95 kgVd = 0.3 L/kgCpeak = 10 mg/LCtrough = 1 mg/L
D = mg
6.Hard
Vd = 0.25 L/kg0.5 → 8 mg/LD = ? mg87 kg

Practice exercise (made-up values, not clinical guidance). An 87 kg patient on regular tobramycin doses is at steady state. The target is a peak of 8 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?

87 kgVd = 0.25 L/kgCpeak = 8 mg/LCtrough = 0.5 mg/L
D = mg

Answer key

  1. 1. f = 87.5 %
  2. 2. C = 2.005 mg/L
  3. 3. CL = 3.112 L/h
  4. 4. CL = 4.39 L/h
  5. 5. D = 256.5 mg
  6. 6. D = 163.1 mg

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