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 theophylline, 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
110100t (h)CC₀t½ = ?C₀/2

Practice exercise (made-up values, not clinical guidance). The elimination rate constant of lidocaine in a patient is 0.347 h⁻¹. Find the half-life t½.

k = 0.347 h⁻¹
t½ = h
3.Medium
VCss​ = 10 mg/LR = ? mg/hCL = 0.035 L/kg/h63 kg

Practice exercise (made-up values, not clinical guidance). A 63 kg patient receives a theophylline infusion. The clearance is 0.035 L/kg/h. What infusion rate R in mg/h gives a steady-state level of 10 mg/L?

63 kgCL = 0.035 L/kg/hCss = 10 mg/L
R = mg/h
4.Medium
110100t (h)C (mg/L)1 h10 mg/L6 h3.7 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of gentamicin, the level is 10 mg/L at 1 h and 3.7 mg/L at 6 h. Assume first-order elimination. Find the elimination rate constant k.

C1 = 10 mg/L (1 h)C2 = 3.7 mg/L (6 h)
k = h⁻¹
5.Hard
t (h)C (mg/L)Css​5 hC = ?

Practice exercise (made-up values, not clinical guidance). A theophylline infusion runs at 37.5 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 5 h?

R = 37.5 mg/hCL = 2.5 L/ht½ = 6 ht = 5 h
C = mg/L
6.Hard
VCss,avg​ = ?300 mg · q12hCL = 0.04 L/kg/h67 kg · S = 1 · F = 1

Practice exercise (made-up values, not clinical guidance). A 67 kg patient takes oral theophylline (F = 1) every 12 h. The clearance is 0.04 L/kg/h. Each dose is 300 mg of theophylline. Find the average steady-state level Css,avg.

CL = 0.04 L/kg/hτ = 12 hS = 1F = 167 kgD = 300 mg
Css,avg = mg/L

Answer key

  1. 1. tss = 30 h
  2. 2. t½ = 1.998 h
  3. 3. R = 22.05 mg/h
  4. 4. k = 0.1989 h⁻¹
  5. 5. C = 6.582 mg/L
  6. 6. Css,avg = 9.328 mg/L

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