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%597%

Practice exercise (made-up values, not clinical guidance). A patient starts regular doses of gentamicin, which has a half-life of 2 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 2 h
tss = h
2.Easy
110100t (h)CC₀t½ = ?C₀/2

Practice exercise (made-up values, not clinical guidance). The elimination rate constant of gentamicin in a patient is 0.198 h⁻¹. Find the half-life t½.

k = 0.198 h⁻¹
t½ = h
3.Medium
VCss​ = 25 mg/LR = ? mg/hCL = 95 mL/min

Practice exercise (made-up values, not clinical guidance). Vancomycin is given as a continuous infusion to a patient whose vancomycin clearance is 95 mL/min. What infusion rate R in mg/h gives a steady-state level of 25 mg/L?

CL = 95 mL/minCss = 25 mg/L
R = mg/h
4.Medium
VCss​ = 2.5 mg/LR = ? mg/minCL = 500 mL/min

Practice exercise (made-up values, not clinical guidance). A patient has a lidocaine clearance of 500 mL/min. What infusion rate R in mg/min keeps the steady-state level at 2.5 mg/L?

CL = 500 mL/minCss = 2.5 mg/L
R = mg/min
5.Hard
VCss,avg​ = ?500 mg · q12hCL = 0.035 L/kg/h61 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 61 kg patient takes oral aminophylline (S = 0.8, F = 1) every 12 h. The theophylline clearance is 0.035 L/kg/h. Each dose is 500 mg of aminophylline. Find the average steady-state level Css,avg.

CL = 0.035 L/kg/hτ = 12 hS = 0.8F = 161 kgD = 500 mg
Css,avg = mg/L
6.Hard
VCss,avg​ = ?200 mg · q12hCL = 0.05 L/kg/h69 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 69 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 200 mg of aminophylline. Find the average steady-state level Css,avg.

CL = 0.05 L/kg/hτ = 12 hS = 0.8F = 169 kgD = 200 mg
Css,avg = mg/L

Answer key

  1. 1. tss = 10 h
  2. 2. t½ = 3.501 h
  3. 3. R = 142.5 mg/h
  4. 4. R = 1.25 mg/min
  5. 5. Css,avg = 15.61 mg/L
  6. 6. Css,avg = 3.865 mg/L

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