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%3.5f = ?

Practice exercise (made-up values, not clinical guidance). A patient receives lidocaine as a constant IV infusion without a loading dose. The half-life is 2 h. What percentage f of the steady-state level has been reached after 7 h?

t½ = 2 ht = 7 h
f = %
2.Easy
t/t½C/Css (%)100%3.5f = ?

Practice exercise (made-up values, not clinical guidance). A patient receives vancomycin as a constant IV infusion without a loading dose. The half-life is 6 h. What percentage f of the steady-state level has been reached after 21 h?

t½ = 6 ht = 21 h
f = %
3.Medium
110t (h)C (mg/L)C₀ = 6 mg/Lt½ = 3.5 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 150 mg of gentamicin. The level back-extrapolated to time zero is 6 mg/L and the half-life is 3.5 h. Find the volume of distribution Vd.

D = 150 mgC₀ = 6 mg/Lt½ = 3.5 h
Vd = L
4.Medium
VCss​ = 2.5 mg/LR = ? mg/minCL = 900 mL/min

Practice exercise (made-up values, not clinical guidance). A patient has a lidocaine clearance of 900 mL/min. What infusion rate R in mg/min keeps the steady-state level at 2.5 mg/L?

CL = 900 mL/minCss = 2.5 mg/L
R = mg/min
5.Hard
0.1110t (h)C (mg/L)Cpeak​ = 8τ = ?Ctrough​ = 0.5

Practice exercise (made-up values, not clinical guidance). A patient's tobramycin half-life is 3.5 h. The target is a peak of 8 mg/L and a trough of 0.5 mg/L. Assuming rapid IV doses and first-order elimination, what dosing interval τ lets the level fall from the peak to the trough? Round to one decimal place.

t½ = 3.5 hCpeak = 8 mg/LCtrough = 0.5 mg/L
τ = h
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. f = 91.16 %
  2. 2. f = 91.16 %
  3. 3. Vd = 25 L
  4. 4. R = 2.25 mg/min
  5. 5. τ = 14 h
  6. 6. Css,avg = 20.83 mg/L

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