It is the integral of the plasma concentration-time profile from time zero to time infinity.
It has units of mass-time/volume.
The area under the curve after an iv administration is dependent on the administered dose and the total body clearance.
The area of the trapezoid shown in the figure is equal to the area of a rectangular that have a similar width and a height of (a+b)/2.
Area of the trapezoid = average height x width
a+b
2 .(w)When samples are drawn for the determination of the AUC, it may be impossible to quantify the drug concentrations in some samples obtained during the terminal phase. This is because the concentrations are below the sensitivity of the analytical technique used. However, the drug is still present in the plasma and is contributing to the total AUC. So, the area under the tail of the curve has to be estimated and has to be added to the calculation of the total AUC.
When the last concentration drawn is during the elimination phase of the drug, the concentration at any time after this last concentration will be:
Integrating the concentration from the time of the last sample to infinity to calculate the area under the tail:
Cplast
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