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
110t (h)C (mg/L)8 mg/L6 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the tobramycin level is 8 mg/L. The half-life is 3 h, and the drug is eliminated by first-order kinetics. What is the level C 6 h later?

C₀ = 8 mg/Lt½ = 3 ht = 6 h
C = mg/L
2.Easy
t/t½C/Css (%)100%597%

Practice exercise (made-up values, not clinical guidance). A patient starts regular doses of theophylline, which has a half-life of 8 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 8 h
tss = h
3.Medium
VCss​ = 15 mg/LR = ? mg/hCL = 0.03 L/kg/h89 kg

Practice exercise (made-up values, not clinical guidance). An 89 kg patient receives a theophylline infusion. The clearance is 0.03 L/kg/h. What infusion rate R in mg/h gives a steady-state level of 15 mg/L?

89 kgCL = 0.03 L/kg/hCss = 15 mg/L
R = mg/h
4.Medium
110100t (h)C (mg/L)1 h10 mg/L4 h3.5 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of gentamicin, the level is 10 mg/L at 1 h and 3.5 mg/L at 4 h. Assume first-order elimination. Find the half-life t½.

C1 = 10 mg/L (1 h)C2 = 3.5 mg/L (4 h)
t½ = h
5.Hard
VCss,avg​ = ?1250 mg · q12hCL = 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 5 L/h. Each dose is 1250 mg of vancomycin. Find the average steady-state level Css,avg.

CL = 5 L/hτ = 12 hS = 1F = 1D = 1250 mg
Css,avg = mg/L
6.Hard
VCss,avg​ = ?1500 mg · q12hCL = 6 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 6 L/h. Each dose is 1500 mg of vancomycin. Find the average steady-state level Css,avg.

CL = 6 L/hτ = 12 hS = 1F = 1D = 1500 mg
Css,avg = mg/L

Answer key

  1. 1. C = 2 mg/L
  2. 2. tss = 40 h
  3. 3. R = 40.05 mg/h
  4. 4. t½ = 1.981 h
  5. 5. Css,avg = 20.83 mg/L
  6. 6. Css,avg = 20.83 mg/L

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