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
110100t (h)CC₀t½ = 3.5 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, gentamicin has an elimination half-life of 3.5 h. Find the elimination rate constant k in h⁻¹.

t½ = 3.5 h
k = h⁻¹
2.Easy
Vd = 0.3 L/kgC = 8 mg/LLD = ?96 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 96 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.

96 kgVd = 0.3 L/kgC = 8 mg/L
LD = mg
3.Medium
VCss​ = 20 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 20 mg/L?

CL = 5 L/hCss = 20 mg/L
R = mg/h
4.Medium
VCss​ = 2.5 mg/LR = ? mg/minCL = 800 mL/min

Practice exercise (made-up values, not clinical guidance). A patient has a lidocaine clearance of 800 mL/min. What infusion rate R in mg/min keeps the steady-state level at 2.5 mg/L?

CL = 800 mL/minCss = 2.5 mg/L
R = mg/min
5.Hard
Vd = 7 L/kg0.3 → 0.8 mcg/LLD = ? mcg86 kg · S = 1 · F = 0.7

Practice exercise (made-up values, not clinical guidance). An 86 kg patient has a digoxin level of 0.3 mcg/L; the target is 0.8 mcg/L. The volume of distribution is 7 L/kg and the tablets have F = 0.7. What extra loading dose LD raises the level to the target?

86 kgVd = 7 L/kgC = 0.3 → 0.8 mcg/LF = 0.7
LD = mcg
6.Hard
VCss,avg​ = 15 mg/LD = ? mg · q12hCL = 0.03 L/kg/h69 kg · S = 1 · F = 1

Practice exercise (made-up values, not clinical guidance). A 69 kg patient takes oral theophylline (F = 1) every 12 h. The clearance is 0.03 L/kg/h. What dose D in mg gives an average steady-state level of 15 mg/L?

CL = 0.03 L/kg/hτ = 12 hS = 1F = 169 kgCss,avg = 15 mg/L
D = mg

Answer key

  1. 1. k = 0.198 h⁻¹
  2. 2. LD = 230.4 mg
  3. 3. R = 100 mg/h
  4. 4. R = 2 mg/min
  5. 5. LD = 430 mcg
  6. 6. D = 372.6 mg

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