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 gentamicin, which has a half-life of 2 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 2 h
tss = h
2.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 10 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 10 h
tss = h
3.Medium
110t (h)C (mg/L)C₀ = 7 mg/Lt½ = 2.5 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 100 mg of tobramycin. The level back-extrapolated to time zero is 7 mg/L and the half-life is 2.5 h. Find the clearance CL in L/h.

D = 100 mgC₀ = 7 mg/Lt½ = 2.5 h
CL = L/h
4.Medium
VCss​ = 10 mg/LR = ? mg/hCL = 0.04 L/kg/h68 kg

Practice exercise (made-up values, not clinical guidance). A 68 kg patient receives a theophylline infusion. The clearance is 0.04 L/kg/h. What infusion rate R in mg/h gives a steady-state level of 10 mg/L?

68 kgCL = 0.04 L/kg/hCss = 10 mg/L
R = mg/h
5.Hard
Vd = 7 L/kg0.4 → 1 mcg/LLD = ? mcg85 kg · S = 1 · F = 0.7

Practice exercise (made-up values, not clinical guidance). An 85 kg patient has a digoxin level of 0.4 mcg/L; the target is 1 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?

85 kgVd = 7 L/kgC = 0.4 → 1 mcg/LF = 0.7
LD = mcg
6.Hard
VCss,avg​ = ?400 mg · q12hCL = 0.04 L/kg/h78 kg · S = 1 · F = 1

Practice exercise (made-up values, not clinical guidance). A 78 kg patient takes oral theophylline (F = 1) every 12 h. The clearance is 0.04 L/kg/h. Each dose is 400 mg of theophylline. Find the average steady-state level Css,avg.

CL = 0.04 L/kg/hτ = 12 hS = 1F = 178 kgD = 400 mg
Css,avg = mg/L

Answer key

  1. 1. tss = 10 h
  2. 2. tss = 50 h
  3. 3. CL = 3.961 L/h
  4. 4. R = 27.2 mg/h
  5. 5. LD = 510 mcg
  6. 6. Css,avg = 10.68 mg/L

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