# One Compartment IV Bolus

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## IV Bolus One Compartment Model

### Student Objectives for this Chapter

After completing the material in this chapter each student should:-
• understand the separate assumptions associated with the one compartment model, rapid IV bolus dosing and linear elimination
• understand the properties of first order kinetics, linear models
• be able to write the differential equations for a simple pharmacokinetic model
• be able to define, use, and calculate the parameters:
• kel (elimination rate constant)
• V (apparent volume of distribution)
• t1/2 (half-life)
• AUC (area under the concentration versus time curve)
• CL (clearance)
as they apply to a one compartment linear model
• be able to use the integrated equations for a one compartment linear model to perform various dose and dosing regimen calculations
Definition: Pharmacokinetics is the study of drug and/or metabolite kinetics in the body. It deals with a mathematical description of the rates of drug movement into, within and exit from the body. It also includes the study of drug metabolism or biotransformation rates. The body is a very complex system and a drug undergoes many steps as it is being absorbed, distributed through the body, metabolized or excreted (ADME). Figure 5.1.1 Drug Disposition

The drug also interacts with receptors and causes therapeutic and/or toxic responses. Although the details of drug kinetics are complicated it is fortunate that we can often approximate drug kinetic processes using "simple" mathematical models.

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