Example:

A single iv dose of 450 mg theophylline was administered to a patient to treat a respiratory condition. The initial plasma concentration (concentration at time zero) was 15 mg/L and the half life was 6 hours. Calculate the total AUC of theophylline in this patient.

15 mg/L
Vd =

Dose

15 mg/L k =

0.639

6 hr t1/2

Answer:

a- From the dose and CLT

k = 0.1155 hr -1 Vd = 30 L
AUC =

450 mg

0.1155 hr -1 30 L = 129.9 mg-hr/L

b- From Cp0 and k

AUC =

15 mg/L

0.1155 hr -1 = 129.9 mg-hr/L
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