The Renal Clearance

Assuming first-order elimination, the renal excretion rate is equal to:

△Ae

△t
= ke A

Where A is the amount of the drug in the body at the middle of the urine collection interval.

△Ae

△t
= ke At-mid

Since the drug amount is the product of Vd and the plasma concentration.

△Ae

△t
= ke Vd Cpt-mid

△Ae

△t Cpt-mid
= Renal clearance

The renal clearance can be calculated from the renal excretion rate and the plasma concentration at the middle of the urine collection interval.

When the renal excretion rate is determined during several urine collections and the drug plasma concentration is determined at the middle point of each urine collection interval, an estimate for the renal clearance is obtained for each urine collection.

Also, a plot of the renal excretion rate versus the plasma concentration at the middle of the urine collection interval on a rectangular scale is a straight line that passes through the origin and the slope of the line is equal to the renal clearance.

Slope = Rnal Clearance
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