Concentration-time profile

The plasma concentration-time profile after an iv dose can be described by the following expression:

Cp2 = Cp1 e-kt

a- If you know the drug concentration at two different time points (the time difference between these two points is t) you can calculate the elimination rate constant.

You can substitute for the
values of Cp1, Cp2 and t in the
equation that describes
the plasma concentration-time profile
to calculate k
Cp1
Cp2
t

b- If you know the elimination rate constant and the drug concentration at one time point, you can determine the drug concentration at any time afterward.

You can substitute for the of Cp1,
k, and t in the equation that describes
the plasma concentration-time
profile to calculate Cp2.
Cp1
Cp2