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 = 0.7 L/kgC = 30 mg/LLD = ?84 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 84 kg needs a loading dose of vancomycin to reach a level of 30 mg/L straight away. The volume of distribution is 0.7 L/kg. Find the loading dose LD in mg.

84 kgVd = 0.7 L/kgC = 30 mg/L
LD = mg
2.Easy
t/t½C/Css (%)100%597%

Practice exercise (made-up values, not clinical guidance). A patient starts regular doses of digoxin, which has a half-life of 36 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 36 h
tss = h
3.Medium
VCss​ = 25 mg/LR = ? mg/hCL = 5 L/h

Practice exercise (made-up values, not clinical guidance). Vancomycin is given as a continuous infusion to a patient whose vancomycin clearance is 5 L/h. What infusion rate R in mg/h gives a steady-state level of 25 mg/L?

CL = 5 L/hCss = 25 mg/L
R = mg/h
4.Medium
VCss​ = 20 mg/LR = ? mg/hCL = 3.5 L/h

Practice exercise (made-up values, not clinical guidance). Vancomycin is given as a continuous infusion to a patient whose vancomycin clearance is 3.5 L/h. What infusion rate R in mg/h gives a steady-state level of 20 mg/L?

CL = 3.5 L/hCss = 20 mg/L
R = mg/h
5.Hard
0.1110t (h)C (mg/L)Cpeak​ = 7τ = ?Ctrough​ = 0.5

Practice exercise (made-up values, not clinical guidance). A patient's gentamicin half-life is 3 h. The target is a peak of 7 mg/L and a trough of 0.5 mg/L. Assuming rapid IV doses and first-order elimination, what dosing interval τ lets the level fall from the peak to the trough? Round to one decimal place.

t½ = 3 hCpeak = 7 mg/LCtrough = 0.5 mg/L
τ = h
6.Hard
VCss,avg​ = 10 mg/LD = ? mg · q12hCL = 0.04 L/kg/h83 kg · S = 1 · F = 1

Practice exercise (made-up values, not clinical guidance). An 83 kg patient takes oral theophylline (F = 1) every 12 h. The clearance is 0.04 L/kg/h. What dose D in mg gives an average steady-state level of 10 mg/L?

CL = 0.04 L/kg/hτ = 12 hS = 1F = 183 kgCss,avg = 10 mg/L
D = mg

Answer key

  1. 1. LD = 1764 mg
  2. 2. tss = 180 h
  3. 3. R = 125 mg/h
  4. 4. R = 70 mg/h
  5. 5. τ = 11.4 h
  6. 6. D = 398.4 mg

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