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/L5 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the gentamicin level is 8 mg/L. The half-life is 2 h, and the drug is eliminated by first-order kinetics. What is the level C 5 h later?

C₀ = 8 mg/Lt½ = 2 ht = 5 h
C = mg/L
2.Easy
0.1110100t (h)C (mg/L)10 mg/L9 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the gentamicin level is 10 mg/L. The half-life is 2.5 h, and the drug is eliminated by first-order kinetics. What is the level C 9 h later?

C₀ = 10 mg/Lt½ = 2.5 ht = 9 h
C = mg/L
3.Medium
VCss​ = 12 mg/LR = ? mg/hCL = 0.05 L/kg/h99 kg

Practice exercise (made-up values, not clinical guidance). A 99 kg patient receives a theophylline infusion. The clearance is 0.05 L/kg/h. What infusion rate R in mg/h gives a steady-state level of 12 mg/L?

99 kgCL = 0.05 L/kg/hCss = 12 mg/L
R = mg/h
4.Medium
110100t (h)C (mg/L)C₀ = 10 mg/Lt½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 200 mg of tobramycin. The level back-extrapolated to time zero is 10 mg/L and the half-life is 3 h. Find the clearance CL in L/h.

D = 200 mgC₀ = 10 mg/Lt½ = 3 h
CL = L/h
5.Hard
0.1110t (h)C (mg/L)Cpeak​ = 7τ = ?Ctrough​ = 0.5

Practice exercise (made-up values, not clinical guidance). A patient's tobramycin half-life is 4 h. The target is a peak of 7 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 = 4 hCpeak = 7 mg/LCtrough = 0.5 mg/L
τ = h
6.Hard
t (h)C (mg/L)Css​t = ?95%

Practice exercise (made-up values, not clinical guidance). A theophylline infusion is started without a loading dose. The half-life in this patient is 9 h. How long t does it take to reach 95% of the steady-state level?

t½ = 9 h95% Css
t = h

Answer key

  1. 1. C = 1.414 mg/L
  2. 2. C = 0.8247 mg/L
  3. 3. R = 59.4 mg/h
  4. 4. CL = 4.621 L/h
  5. 5. τ = 15.2 h
  6. 6. t = 38.9 h

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