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
110100t (h)CC₀t½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, gentamicin has an elimination half-life of 3 h. Find the elimination rate constant k in h⁻¹.

t½ = 3 h
k = h⁻¹
2.Easy
110100t (h)CC₀t½ = 36 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, digoxin has an elimination half-life of 36 h. Find the elimination rate constant k in h⁻¹.

t½ = 36 h
k = h⁻¹
3.Medium
VCss​ = 15 mg/LR = ? mg/hCL = 0.03 L/kg/h69 kg

Practice exercise (made-up values, not clinical guidance). A 69 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?

69 kgCL = 0.03 L/kg/hCss = 15 mg/L
R = mg/h
4.Medium
VCss​ = 20 mg/LR = ? mg/hCL = 80 mL/min

Practice exercise (made-up values, not clinical guidance). Vancomycin is given as a continuous infusion to a patient whose vancomycin clearance is 80 mL/min. What infusion rate R in mg/h gives a steady-state level of 20 mg/L?

CL = 80 mL/minCss = 20 mg/L
R = mg/h
5.Hard
Vd = 0.25 L/kg1 → 8 mg/LD = ? mg51 kg

Practice exercise (made-up values, not clinical guidance). A 51 kg patient on regular gentamicin doses is at steady state. The target is a peak of 8 mg/L and a trough of 1 mg/L, and the volume of distribution is 0.25 L/kg. Assuming rapid IV doses, what dose D raises the level from the trough to the peak?

51 kgVd = 0.25 L/kgCpeak = 8 mg/LCtrough = 1 mg/L
D = mg
6.Hard
t (h)C (mg/L)Css​6 hC = ?

Practice exercise (made-up values, not clinical guidance). A vancomycin infusion runs at 80 mg/h with no loading dose. The patient's clearance is 4 L/h and the half-life is 8 h. What is the level C after 6 h?

R = 80 mg/hCL = 4 L/ht½ = 8 ht = 6 h
C = mg/L

Answer key

  1. 1. k = 0.231 h⁻¹
  2. 2. k = 0.01925 h⁻¹
  3. 3. R = 31.05 mg/h
  4. 4. R = 96 mg/h
  5. 5. D = 89.25 mg
  6. 6. C = 8.108 mg/L

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