Example: After administration of a single iv bolus dose of 100 mg lidocaine, the plasma conc-time profile can be described by the following expression

Cp (mg/L) = 2.6 e-5.0 t + 0.52 e-0.4 t

where t is in hours.

Calculate the following parameters:

Vc, AUC, CLT, k10, and Vdβ

The equation is in the form of:

Cp = A e-α t + B e-β t

This means :

A = 2.6 mg/L      α = 5.0 hr-1

B = 0.52 mg/L       β = 0.4 hr-1

Vc =

Dose

A + B
AUC =

A

α
+

B

β
AUC =

Dose

CLT

CLT

Vc
= k10
Vdβ =

CLT

β

Answer

Vc =

100 mg

2.6 mg/L + 0.52 mg/L
= 32 L
AUC =

2.6 mg/L

5.0 hr-1
+

0.52 mg/L

0.4 hr-1
= 1.82mg-hr/L
CLT =

100 mg

1.82 mg-hr/L
= 54.9 L/hr
k10 =

54.9 L/hr

32 L
= 1.72 hr -1
Vdβ =

54.9 L/hr

0.4 hr-1
= 137 L