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/L3.5 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 2.5 h, and the drug is eliminated by first-order kinetics. What is the level C 3.5 h later?

C₀ = 8 mg/Lt½ = 2.5 ht = 3.5 h
C = mg/L
2.Easy
110100t (h)C (mg/L)25 mg/L36 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the vancomycin level is 25 mg/L. The half-life is 12 h, and the drug is eliminated by first-order kinetics. What is the level C 36 h later?

C₀ = 25 mg/Lt½ = 12 ht = 36 h
C = mg/L
3.Medium
VCss​ = 3 mg/LR = ? mg/minCL = 850 mL/min

Practice exercise (made-up values, not clinical guidance). A patient has a lidocaine clearance of 850 mL/min. What infusion rate R in mg/min keeps the steady-state level at 3 mg/L?

CL = 850 mL/minCss = 3 mg/L
R = mg/min
4.Medium
110t (h)C (mg/L)C₀ = 6 mg/Lt½ = 2 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 130 mg of tobramycin. The level back-extrapolated to time zero is 6 mg/L and the half-life is 2 h. Find the clearance CL in L/h.

D = 130 mgC₀ = 6 mg/Lt½ = 2 h
CL = L/h
5.Hard
VCss,avg​ = 15 mg/LD = ? mg · q12hCL = 0.03 L/kg/h84 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). An 84 kg patient takes oral aminophylline (S = 0.8, F = 1) every 12 h. The theophylline 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 = 0.8F = 184 kgCss,avg = 15 mg/L
D = mg
6.Hard
t (h)C (mg/L)Css​t = ?75%

Practice exercise (made-up values, not clinical guidance). A theophylline infusion is started without a loading dose. The half-life in this patient is 8 h. How long t does it take to reach 75% of the steady-state level?

t½ = 8 h75% Css
t = h

Answer key

  1. 1. C = 3.031 mg/L
  2. 2. C = 3.125 mg/L
  3. 3. R = 2.55 mg/min
  4. 4. CL = 7.509 L/h
  5. 5. D = 567 mg
  6. 6. t = 16 h

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