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
0.1110100t (h)C (mg/L)9 mg/L7.5 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 2 h, and the drug is eliminated by first-order kinetics. What is the level C 7.5 h later?

C₀ = 9 mg/Lt½ = 2 ht = 7.5 h
C = mg/L
2.Easy
110t (h)C (mg/L)6 mg/L5 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 2.5 h, and the drug is eliminated by first-order kinetics. What is the level C 5 h later?

C₀ = 6 mg/Lt½ = 2.5 ht = 5 h
C = mg/L
3.Medium
VCss​ = 20 mg/LR = ? mg/hCL = 6 L/h

Practice exercise (made-up values, not clinical guidance). Vancomycin is given as a continuous infusion to a patient whose vancomycin clearance is 6 L/h. What infusion rate R in mg/h gives a steady-state level of 20 mg/L?

CL = 6 L/hCss = 20 mg/L
R = mg/h
4.Medium
110t (h)C (mg/L)1 h8 mg/L5 h2 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of tobramycin, the level is 8 mg/L at 1 h and 2 mg/L at 5 h. Assume first-order elimination. Find the elimination rate constant k.

C1 = 8 mg/L (1 h)C2 = 2 mg/L (5 h)
k = h⁻¹
5.Hard
Vd = 0.7 L/kg4.5 → 15 mg/LLD = ? mg77 kg · S = 0.92 · F = 1

Practice exercise (made-up values, not clinical guidance). A 77 kg patient has a phenytoin level of 4.5 mg/L; the target is 15 mg/L. The drug is given intravenously as phenytoin sodium (S = 0.92), and the volume of distribution is 0.7 L/kg. What extra loading dose LD raises the level to the target?

77 kgVd = 0.7 L/kgC = 4.5 → 15 mg/LS = 0.92
LD = mg
6.Hard
VCss,avg​ = ?200 mg · q8hCL = 0.05 L/kg/h100 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 100 kg patient takes oral aminophylline (S = 0.8, F = 1) every 8 h. The theophylline clearance is 0.05 L/kg/h. Each dose is 200 mg of aminophylline. Find the average steady-state level Css,avg.

CL = 0.05 L/kg/hτ = 8 hS = 0.8F = 1100 kgD = 200 mg
Css,avg = mg/L

Answer key

  1. 1. C = 0.6689 mg/L
  2. 2. C = 1.5 mg/L
  3. 3. R = 120 mg/h
  4. 4. k = 0.3466 h⁻¹
  5. 5. LD = 615.2 mg
  6. 6. Css,avg = 4 mg/L

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