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 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 5 h later?

C₀ = 8 mg/Lt½ = 2.5 ht = 5 h
C = mg/L
2.Easy
0.1110100t (h)C (mg/L)9 mg/L7.5 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the gentamicin level is 9 mg/L. The half-life is 2.5 h, and the drug is eliminated by first-order kinetics. What is the level C 7.5 h later?

C₀ = 9 mg/Lt½ = 2.5 ht = 7.5 h
C = mg/L
3.Medium
Vd = 7 L/kgC = 0.8 mcg/LLD = ? mcg51 kg · S = 1 · F = 0.7

Practice exercise (made-up values, not clinical guidance). A 51 kg patient is to be loaded with digoxin tablets to reach a level of 0.8 mcg/L. The volume of distribution is 7 L/kg and the tablets have a bioavailability F = 0.7. Find the total oral loading dose LD in mcg.

51 kgVd = 7 L/kgC = 0.8 mcg/LF = 0.7
LD = mcg
4.Medium
110t (h)C (mg/L)C₀ = 6 mg/Lt½ = 2.5 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 170 mg of tobramycin. The level back-extrapolated to time zero is 6 mg/L and the half-life is 2.5 h. Find the clearance CL in L/h.

D = 170 mgC₀ = 6 mg/Lt½ = 2.5 h
CL = L/h
5.Hard
Vd = 0.7 L/kg8 → 20 mg/LLD = ? mg80 kg · S = 0.92 · F = 1

Practice exercise (made-up values, not clinical guidance). An 80 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?

80 kgVd = 0.7 L/kgC = 8 → 20 mg/LS = 0.92
LD = mg
6.Hard
0.1110t (h)C (mg/L)Cpeak​ = 6τ = ?Ctrough​ = 1

Practice exercise (made-up values, not clinical guidance). A patient's tobramycin half-life is 2 h. The target is a peak of 6 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 = 2 hCpeak = 6 mg/LCtrough = 1 mg/L
τ = h

Answer key

  1. 1. C = 2 mg/L
  2. 2. C = 1.125 mg/L
  3. 3. LD = 408 mcg
  4. 4. CL = 7.856 L/h
  5. 5. LD = 730.4 mg
  6. 6. τ = 5.2 h

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