Example: The following concentrations were obtained after administration of a single 500 mg oral dose of an antibiotic (F=1):

Time (hr) Conc (mg/L) Time Conc
0.5 3.5 4.0 8.1
1.0 5.8 6.0 6.3
2.0 8.1 9.0 3.2
3.0 8.6 12.0 1.6

What is the half-life of this antibiotic ? Calculate the CLT if the AUC was 72 mg-hr/L, and calculate the Vd of this drug.

Identify the linear portion
of the curve that
represents drug elimination
Calculate k or the half-
life from the line

t1/2

CLT =

F Dose

AUC

CLT

Vd
= k

Answer:

Graphically t1/2 = 3hr

CLT =

(1) 500 mg

72 mg-hr/L
= 6.94 L/hr
Vd =

6.94L /hr

0.693 /3hr
= 30L
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