# Chapter 4

# 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)
- t
_{1/2} (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.

Quiz

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