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**Equation 5.10.1 Rate of Elimination versus Concentration**

In Equation 5.10.1 the elimination rate constant, dX/dt, is related to the concentration of drug remaining. The proportionality constant for this relationship is Clearance, **CL**. The symbol for clearance is CL and the units are volume per time or ml/min, L/hr.

Equation 5.10.1 can be rearranged to give Equation 5.10.2 for clearance.

**Equation 5.10.2 Clearance calculated from Rate and Concentration**

Clearance can be calculated from this equation by measuring the amount of drug eliminated during some time interval and the drug concentration at the midpoint of this collection interval. The clearance of the endogenous material, creatinine, is measured by this method as described in Chapter 27 to provide a measure of renal function.

Clearance can also be calculated from the integral of Equation 5.10.2. Integrating dX/dt and Cp with respect to time give Dose and AUC, respectively. The total amount that can be eliminated is the total amount administered, that is, the dose. Thus, clearance can be calculated as:

**Equation 5.10.3 Clearance calculated from Dose and AUC**

In case of the one compartment model with an IV bolus dose the rate of elimination can be expressed as:

thus Clearance can be expressed as:

**Equation 5.10.4 Clearance calculated from kel and V**

Equation 5.10.4 can also be used to estimate a value for drug clearance.

The clearance of a drug can be used to understand the processes involved in drug elimination, distribution and metabolism. Relating clearance to a patient renal or hepatic function can be used in the determination of suitable drug dosage regimens.

- Clearance has been discussed on the PharmPK listserv.

Copyright 2001-3 David W. A. Bourne (david@boomer.org)

This file was last modified: Wednesday 26 May 2010 at 07:43 PM