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%597%

Practice exercise (made-up values, not clinical guidance). A patient starts regular doses of gentamicin, which has a half-life of 3 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 3 h
tss = h
2.Easy
t/t½C/Css (%)100%3.5f = ?

Practice exercise (made-up values, not clinical guidance). A patient receives lidocaine as a constant IV infusion without a loading dose. The half-life is 1.5 h. What percentage f of the steady-state level has been reached after 5.25 h?

t½ = 1.5 ht = 5.25 h
f = %
3.Medium
110t (h)C (mg/L)2 h8 mg/L8 h2 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of tobramycin, the level is 8 mg/L at 2 h and 2 mg/L at 8 h. Assume first-order elimination. Find the half-life t½.

C1 = 8 mg/L (2 h)C2 = 2 mg/L (8 h)
t½ = h
4.Medium
110100t (h)C (mg/L)1 h35 mg/L17 h7.2 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 7.2 mg/L at 17 h. Assume first-order elimination. Find the half-life t½.

C1 = 35 mg/L (1 h)C2 = 7.2 mg/L (17 h)
t½ = h
5.Hard
Vd = 0.7 L/kg9 → 15 mg/LLD = ? mg87 kg · S = 0.92 · F = 1

Practice exercise (made-up values, not clinical guidance). An 87 kg patient has a phenytoin level of 9 mg/L; the target is 15 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?

87 kgVd = 0.7 L/kgC = 9 → 15 mg/LS = 0.92
LD = mg
6.Hard
Vd = 7 L/kg0.4 → 0.8 mcg/LLD = ? mcg88 kg · S = 1 · F = 0.7

Practice exercise (made-up values, not clinical guidance). An 88 kg patient has a digoxin level of 0.4 mcg/L; the target is 0.8 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?

88 kgVd = 7 L/kgC = 0.4 → 0.8 mcg/LF = 0.7
LD = mcg

Answer key

  1. 1. tss = 15 h
  2. 2. f = 91.16 %
  3. 3. t½ = 3 h
  4. 4. t½ = 7.014 h
  5. 5. LD = 397.2 mg
  6. 6. LD = 352 mcg

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