Calculation of Parameters from Given Data Set

The Data

After an I.V. Bolus Dose of 500 mg

Time hr Concentration mg/L
0.5 13.5
1.0 13.5
2.0 10
4.0 7.6
6.0 5.1

Graphing the Data

The Parameters

Cp0 by inspection after putting a line through the data on semi-log graph paper = 15.2 mg/L

kel from the -ve slope of ln-linear line through the data. Note the concentration on the line at 6 hours is 5.15. NOTE:: This value and the value for Cp0 will depend on where you put the line. Everyone may put the line in a different place.

V = Dose/Cp0 = 500/15.2 = 32.9 L

Clearance = kel x V = 0.180 x 32.9 = 5.92 L/hr = 99 ml/min

Summary

Parameter Value Unit
Cp0 15.2 mg/L
kel 0.180 hr-1
V 32.9 L
Clearance 5.92 L/hr

99 ml/min