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
t/t½C/Css (%)100%1f = ?

Practice exercise (made-up values, not clinical guidance). A patient receives vancomycin as a constant IV infusion without a loading dose. The half-life is 8 h. What percentage f of the steady-state level has been reached after 8 h?

t½ = 8 ht = 8 h
f = %
2.Easy
t/t½C/Css (%)100%3f = ?

Practice exercise (made-up values, not clinical guidance). A patient receives aminophylline as a constant IV infusion without a loading dose. The half-life is 8 h. What percentage f of the steady-state level has been reached after 24 h?

t½ = 8 ht = 24 h
f = %
3.Medium
VCss​ = 12 mg/LR = ? mg/hCL = 0.04 L/kg/h65 kg

Practice exercise (made-up values, not clinical guidance). A 65 kg patient receives a theophylline infusion. The clearance is 0.04 L/kg/h. What infusion rate R in mg/h gives a steady-state level of 12 mg/L?

65 kgCL = 0.04 L/kg/hCss = 12 mg/L
R = mg/h
4.Medium
Vd = 7 L/kgC = 0.8 mcg/LLD = ? mcg73 kg · S = 1 · F = 0.7

Practice exercise (made-up values, not clinical guidance). A 73 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.

73 kgVd = 7 L/kgC = 0.8 mcg/LF = 0.7
LD = mcg
5.Hard
0.1110t (h)C (mg/L)Cpeak​ = 6τ = ?Ctrough​ = 1

Practice exercise (made-up values, not clinical guidance). A patient's gentamicin half-life is 2.5 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 = 2.5 hCpeak = 6 mg/LCtrough = 1 mg/L
τ = h
6.Hard
Vd = 7 L/kg0.4 → 1 mcg/LLD = ? mcg52 kg · S = 1 · F = 0.7

Practice exercise (made-up values, not clinical guidance). A 52 kg patient has a digoxin level of 0.4 mcg/L; the target is 1 mcg/L. The volume of distribution is 7 L/kg and the tablets have F = 0.7. What extra loading dose LD raises the level to the target?

52 kgVd = 7 L/kgC = 0.4 → 1 mcg/LF = 0.7
LD = mcg

Answer key

  1. 1. f = 50 %
  2. 2. f = 87.5 %
  3. 3. R = 31.2 mg/h
  4. 4. LD = 584 mcg
  5. 5. τ = 6.5 h
  6. 6. LD = 312 mcg

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