Chapter 14

Multiple IV Bolus Dose Administration

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Single Dose Review

IV Bolus

Figure 14.2.1 A Diagram Illustrating a One Compartment Model - IV Bolus

This model can be defined using both differential and integrated equations.

Equation 14.2.1 Differential Equation describing a One Compartment Model - IV Bolus

Equation 14.2.2 Integrated Equation describing a One Compartment Model - IV Bolus

or in clearance terms

Equation 14.2.3 Equations describing a One Compartment Model - IV Bolus

IV Infusion

Figure 14.2.2 A Diagram Illustrating a One Compartment Model - IV Infusion

This model can be defined using both differential and integrated equations.

During an Infusion

Equation 14.2.4 Differential Equation describing a One Compartment Model - IV Infusion

Equation 14.2.5 Integrated Equation describing a One Compartment Model - IV Infusion

At Steady State

Equation 14.2.6 Equation describing a One Compartment Model - IV Infusion

After an IV Infusion

Equation 14.2.7 Differential Equation describing a One Compartment Model - IV Infusion

Equation 14.2.8 Integrated Equation describing a One Compartment Model - IV Infusion

Oral (Extravascular)

Figure 14.2.3 A Diagram Illustrating a One Compartment Model - Oral

This model can be defined using both differential and integrated equations.

Equation 14.2.9 Differential Equation describing a One Compartment Model - Oral

Equation 14.2.10 Integrated Equation describing a One Compartment Model - Oral


After a single IV bolus dose drug concentrations appear with an exponential decline on linear graph paper and a straight line on semi-log graph paper. With an IV infusion of duration T there is a steady increase to CpT followed by an abrupt exponential decline in concentration. After a single oral administration the curve around the peak concentration is smoother.

Figure 14.2.4 Linear Plot of Drug Concentration versus Time

Figure 14.2.5 Semi-log Plot of Drug Concentration versus Time


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