Practice exercise (made-up values, not clinical guidance). A patient who weighs 51 kg needs a loading dose of theophylline to reach a level of 15 mg/L straight away. The volume of distribution is 0.5 L/kg. Find the loading dose LD in mg.
Practice exercise (made-up values, not clinical guidance). In a patient, theophylline has an elimination half-life of 6 h. Find the elimination rate constant k in h⁻¹.
Practice exercise (made-up values, not clinical guidance). After an IV dose of tobramycin, the level is 8 mg/L at 1 h and 2.8 mg/L at 4 h. Assume first-order elimination. Find the half-life t½.
Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 150 mg of gentamicin. The level back-extrapolated to time zero is 7 mg/L and the half-life is 3.5 h. Find the clearance CL in L/h.
Practice exercise (made-up values, not clinical guidance). A 64 kg patient takes oral theophylline (F = 1) every 8 h. The clearance is 0.03 L/kg/h. What dose D in mg gives an average steady-state level of 10 mg/L?
Practice exercise (made-up values, not clinical guidance). A 65 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?
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