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 vancomycin, which has a half-life of 6 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 6 h
tss = h
2.Easy
t/t½C/Css (%)100%1.5f = ?

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 2.25 h?

t½ = 1.5 ht = 2.25 h
f = %
3.Medium
110t (h)C (mg/L)1 h7 mg/L5 h2.8 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of gentamicin, the level is 7 mg/L at 1 h and 2.8 mg/L at 5 h. Assume first-order elimination. Find the half-life t½.

C1 = 7 mg/L (1 h)C2 = 2.8 mg/L (5 h)
t½ = h
4.Medium
0.1110t (h)C (mg/L)1 h8 mg/L7 h1 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of tobramycin, the level is 8 mg/L at 1 h and 1 mg/L at 7 h. Assume first-order elimination. Find the half-life t½.

C1 = 8 mg/L (1 h)C2 = 1 mg/L (7 h)
t½ = h
5.Hard
75 kg62 · manSCr 2.6 mg/dLCrCl → τ = ? h

Practice exercise (made-up values, not clinical guidance). A 62-year-old man weighs 75 kg and has a serum creatinine of 2.6 mg/dL (230 µmol/L). Estimate the creatinine clearance with Cockcroft–Gault: CrCl (mL/min) = (140 − age) × weight (kg)/(72 × SCr in mg/dL), × 0.85 for women. The usual vancomycin regimen is 1000 mg every 12 h for a creatinine clearance of 100 mL/min. Keeping the dose, the interval is lengthened in proportion to the fall in clearance. Find the new dosing interval τ. Round to one decimal place.

62 years75 kgmanSCr = 2.6 mg/dL1000 mg q12hCrCl normal 100 mL/min
τ = h
6.Hard
t (h)C (mg/L)Css​9 hC = ?

Practice exercise (made-up values, not clinical guidance). A theophylline infusion runs at 30 mg/h with no loading dose. The patient's clearance is 2.5 L/h and the half-life is 6 h. What is the level C after 9 h?

R = 30 mg/hCL = 2.5 L/ht½ = 6 ht = 9 h
C = mg/L

Answer key

  1. 1. tss = 30 h
  2. 2. f = 64.64 %
  3. 3. t½ = 3.026 h
  4. 4. t½ = 2 h
  5. 5. τ = 38.4 h
  6. 6. C = 7.757 mg/L

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