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
Vd = 0.5 L/kgC = 10 mg/LLD = ?89 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 89 kg needs a loading dose of theophylline to reach a level of 10 mg/L straight away. The volume of distribution is 0.5 L/kg. Find the loading dose LD in mg.

89 kgVd = 0.5 L/kgC = 10 mg/L
LD = mg
2.Easy
t/t½C/Css (%)100%1.5f = ?

Practice exercise (made-up values, not clinical guidance). A patient receives lidocaine as a constant IV infusion without a loading dose. The half-life is 1.5 h. What percentage f of the steady-state level has been reached after 2.25 h?

t½ = 1.5 ht = 2.25 h
f = %
3.Medium
VCss​ = 10 mg/LR = ? mg/h · S = 0.8CL = 0.05 L/kg/h56 kg

Practice exercise (made-up values, not clinical guidance). A 56 kg patient is to receive an aminophylline infusion (salt factor S = 0.8: 80% of aminophylline is theophylline). The theophylline clearance is 0.05 L/kg/h. What aminophylline infusion rate R in mg/h gives a steady-state theophylline level of 10 mg/L?

56 kgCL = 0.05 L/kg/hCss = 10 mg/LS = 0.8
R = mg/h
4.Medium
110100t (h)C (mg/L)1 h9 mg/L9 h1.8 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of gentamicin, the level is 9 mg/L at 1 h and 1.8 mg/L at 9 h. Assume first-order elimination. Find the half-life t½.

C1 = 9 mg/L (1 h)C2 = 1.8 mg/L (9 h)
t½ = h
5.Hard
VCss,avg​ = ?250 mg · q12hCL = 0.05 L/kg/h90 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 90 kg patient takes oral aminophylline (S = 0.8, F = 1) every 12 h. The theophylline clearance is 0.05 L/kg/h. Each dose is 250 mg of aminophylline. Find the average steady-state level Css,avg.

CL = 0.05 L/kg/hτ = 12 hS = 0.8F = 190 kgD = 250 mg
Css,avg = mg/L
6.Hard
Vd = 0.25 L/kg0.5 → 8 mg/LD = ? mg65 kg

Practice exercise (made-up values, not clinical guidance). A 65 kg patient on regular gentamicin 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?

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

Answer key

  1. 1. LD = 445 mg
  2. 2. f = 64.64 %
  3. 3. R = 35 mg/h
  4. 4. t½ = 3.445 h
  5. 5. Css,avg = 3.704 mg/L
  6. 6. D = 121.9 mg

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