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 = 0.3 L/kgC = 8 mg/LLD = ?55 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 55 kg needs a loading dose of tobramycin to reach a level of 8 mg/L straight away. The volume of distribution is 0.3 L/kg. Find the loading dose LD in mg.

55 kgVd = 0.3 L/kgC = 8 mg/L
LD = mg
2.Easy
Vd = 0.5 L/kgC = 12 mg/LLD = ?96 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 96 kg needs a loading dose of theophylline to reach a level of 12 mg/L straight away. The volume of distribution is 0.5 L/kg. Find the loading dose LD in mg.

96 kgVd = 0.5 L/kgC = 12 mg/L
LD = mg
3.Medium
110t (h)C (mg/L)C₀ = 8 mg/Lt½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 240 mg of gentamicin. The level back-extrapolated to time zero is 8 mg/L and the half-life is 3 h. Find the volume of distribution Vd.

D = 240 mgC₀ = 8 mg/Lt½ = 3 h
Vd = L
4.Medium
10100t (h)C (mg/L)2 h35 mg/L12 h17.5 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of vancomycin, the level is 35 mg/L at 2 h and 17.5 mg/L at 12 h. Assume first-order elimination. Find the half-life t½.

C1 = 35 mg/L (2 h)C2 = 17.5 mg/L (12 h)
t½ = h
5.Hard
70 kg51 · womanSCr 2.8 mg/dLCrCl → τ = ? h

Practice exercise (made-up values, not clinical guidance). A 51-year-old woman weighs 70 kg and has a serum creatinine of 2.8 mg/dL (248 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 gentamicin regimen is 80 mg every 8 h for a creatinine clearance of 120 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.

51 years70 kgwomanSCr = 2.8 mg/dL80 mg q8hCrCl normal 120 mL/min
τ = h
6.Hard
VCss,avg​ = 15 mg/LD = ? mg · q12hCL = 3.5 L/hS = 1 · F = 1

Practice exercise (made-up values, not clinical guidance). A patient receives vancomycin IV every 12 h; the vancomycin clearance is 3.5 L/h. What dose D in mg gives an average steady-state level of 15 mg/L?

CL = 3.5 L/hτ = 12 hS = 1F = 1Css,avg = 15 mg/L
D = mg

Answer key

  1. 1. LD = 132 mg
  2. 2. LD = 576 mg
  3. 3. Vd = 30 L
  4. 4. t½ = 10 h
  5. 5. τ = 36.5 h
  6. 6. D = 630 mg

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