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 = ?C₀/2

Practice exercise (made-up values, not clinical guidance). The elimination rate constant of theophylline in a patient is 0.077 h⁻¹. Find the half-life t½.

k = 0.077 h⁻¹
t½ = h
2.Easy
110100t (h)CC₀t½ = ?C₀/2

Practice exercise (made-up values, not clinical guidance). The elimination rate constant of digoxin in a patient is 0.0173 h⁻¹. Find the half-life t½.

k = 0.0173 h⁻¹
t½ = h
3.Medium
10100t (h)C (mg/L)1 h35 mg/L11 h14.7 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of vancomycin, the level is 35 mg/L at 1 h and 14.7 mg/L at 11 h. Assume first-order elimination. Find the half-life t½.

C1 = 35 mg/L (1 h)C2 = 14.7 mg/L (11 h)
t½ = h
4.Medium
VCss​ = 12 mg/LR = ? mg/hCL = 0.045 L/kg/h87 kg

Practice exercise (made-up values, not clinical guidance). An 87 kg patient receives a theophylline infusion. The clearance is 0.045 L/kg/h. What infusion rate R in mg/h gives a steady-state level of 12 mg/L?

87 kgCL = 0.045 L/kg/hCss = 12 mg/L
R = mg/h
5.Hard
0.1110100t (h)C (mg/L)Cpeak​ = 10τ = ?Ctrough​ = 1

Practice exercise (made-up values, not clinical guidance). A patient's gentamicin half-life is 3.5 h. The target is a peak of 10 mg/L and a trough of 1 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 = 10 mg/LCtrough = 1 mg/L
τ = h
6.Hard
Vd = 0.7 L/kg8 → 20 mg/LLD = ? mg73 kg · S = 0.92 · F = 1

Practice exercise (made-up values, not clinical guidance). A 73 kg patient has a phenytoin level of 8 mg/L; the target is 20 mg/L. The drug is given intravenously as phenytoin sodium (S = 0.92), and the volume of distribution is 0.7 L/kg. What extra loading dose LD raises the level to the target?

73 kgVd = 0.7 L/kgC = 8 → 20 mg/LS = 0.92
LD = mg

Answer key

  1. 1. t½ = 9.002 h
  2. 2. t½ = 40.07 h
  3. 3. t½ = 7.99 h
  4. 4. R = 46.98 mg/h
  5. 5. τ = 11.6 h
  6. 6. LD = 666.5 mg

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