Example: What is the theophylline steady state conc during a constant rate iv infusion of 30 mg/hr theophylline ? and what is the rate of theophylline elimination at steady state ? (Theophylline Vd is 30 liters and k is 0.1155 hr-1)
Cps.s. =
30 mg /hr
0.1155hr-1 30L
=8.66 mg/L
At steady state, the administration rate is equal to the elimination rate. So, theophylline elimination rate at steady state is 30 mg/hr.