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 vancomycin, which has a half-life of 12 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 12 h
tss = h
2.Easy
110t (h)C (mg/L)6 mg/L3 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the tobramycin level is 6 mg/L. The half-life is 3 h, and the drug is eliminated by first-order kinetics. What is the level C 3 h later?

C₀ = 6 mg/Lt½ = 3 ht = 3 h
C = mg/L
3.Medium
110t (h)C (mg/L)C₀ = 6 mg/Lt½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 140 mg of gentamicin. The level back-extrapolated to time zero is 6 mg/L and the half-life is 3 h. Find the clearance CL in L/h.

D = 140 mgC₀ = 6 mg/Lt½ = 3 h
CL = L/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 = 0.7 L/kg12 → 20 mg/LLD = ? mg93 kg · S = 0.92 · F = 1

Practice exercise (made-up values, not clinical guidance). A 93 kg patient has a phenytoin level of 12 mg/L; the target is 20 mg/L. The drug is given intravenously as phenytoin sodium (S = 0.92), and the volume of distribution is 0.7 L/kg. What extra loading dose LD raises the level to the target?

93 kgVd = 0.7 L/kgC = 12 → 20 mg/LS = 0.92
LD = mg
6.Hard
t (h)C (mg/L)Css​4 hC = ?

Practice exercise (made-up values, not clinical guidance). A vancomycin infusion runs at 100 mg/h with no loading dose. The patient's clearance is 5 L/h and the half-life is 8 h. What is the level C after 4 h?

R = 100 mg/hCL = 5 L/ht½ = 8 ht = 4 h
C = mg/L

Answer key

  1. 1. tss = 60 h
  2. 2. C = 3 mg/L
  3. 3. CL = 5.391 L/h
  4. 4. R = 2 mg/min
  5. 5. LD = 566.1 mg
  6. 6. C = 5.858 mg/L

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