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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Name: ____________________   Date: ____________

1.Easy
Vd = 0.25 L/kgC = 10 mg/LLD = ?98 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 98 kg needs a loading dose of gentamicin to reach a level of 10 mg/L straight away. The volume of distribution is 0.25 L/kg. Find the loading dose LD in mg.

98 kgVd = 0.25 L/kgC = 10 mg/L
LD = mg
2.Easy
t/t½C/Css (%)100%3f = ?

Practice exercise (made-up values, not clinical guidance). A patient receives vancomycin as a constant IV infusion without a loading dose. The half-life is 12 h. What percentage f of the steady-state level has been reached after 36 h?

t½ = 12 ht = 36 h
f = %
3.Medium
VCss​ = 4 mg/LR = ? mg/minCL = 700 mL/min

Practice exercise (made-up values, not clinical guidance). A patient has a lidocaine clearance of 700 mL/min. What infusion rate R in mg/min keeps the steady-state level at 4 mg/L?

CL = 700 mL/minCss = 4 mg/L
R = mg/min
4.Medium
Vd = 0.7 L/kgC = 15 mg/LLD = ? mg94 kg · S = 0.92 · F = 1

Practice exercise (made-up values, not clinical guidance). A 94 kg patient is to be loaded intravenously with phenytoin sodium to reach a phenytoin level of 15 mg/L. The volume of distribution is 0.7 L/kg and the salt factor is S = 0.92. Find the loading dose LD of phenytoin sodium in mg.

94 kgVd = 0.7 L/kgC = 15 mg/LS = 0.92
LD = mg
5.Hard
VCss,avg​ = ?450 mg · q12hCL = 0.03 L/kg/h75 kg · S = 1 · F = 1

Practice exercise (made-up values, not clinical guidance). A 75 kg patient takes oral theophylline (F = 1) every 12 h. The clearance is 0.03 L/kg/h. Each dose is 450 mg of theophylline. Find the average steady-state level Css,avg.

CL = 0.03 L/kg/hτ = 12 hS = 1F = 175 kgD = 450 mg
Css,avg = mg/L
6.Hard
93 kg59 · manSCr 3.5 mg/dLCrCl → τ = ? h

Practice exercise (made-up values, not clinical guidance). A 59-year-old man weighs 93 kg and has a serum creatinine of 3.5 mg/dL (309 µmol/L). Estimate the creatinine clearance with Cockcroft–Gault: CrCl (mL/min) = (140 − age) × weight (kg)/(72 × SCr in mg/dL), × 0.85 for women. The usual vancomycin regimen is 1000 mg every 12 h for a creatinine clearance of 100 mL/min. Keeping the dose, the interval is lengthened in proportion to the fall in clearance. Find the new dosing interval τ. Round to one decimal place.

59 years93 kgmanSCr = 3.5 mg/dL1000 mg q12hCrCl normal 100 mL/min
τ = h

Answer key

  1. 1. LD = 245 mg
  2. 2. f = 87.5 %
  3. 3. R = 2.8 mg/min
  4. 4. LD = 1073 mg
  5. 5. Css,avg = 16.67 mg/L
  6. 6. τ = 40.1 h

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