Example:

Theophylline therapeutic range is between 10-20 mg/L. Calculate theophylline steady state conc during a constant rate iv infusion of 25 mg/hr theophylline, and what is the infusion rate required to achieve steady state conc of 15 mg/L? (Theophylline Vd is 30 liters and k is 0.1155 hr-1)

The steady state conc is proportional to the infusion rate
52 mg/hr
25 mg/hr
Cps.s. =

K0

CLT
Cps.s.=

25 mg/hr

0.1155 hr-1 30L
= 7.2 mg/L
15 mg/L =

K0

0.1155 hr- 130L
K0 = 52 mg/hr
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