7. ONE-COMPARTMENT OPEN MODEL FOR INTRAVENOUS INFUSION

In an intravenous infusion, a drug is delivered slowly and continuously into the bloodstream at a controlled rate. Unlike IV bolus dosing, where the entire dose enters the body instantly, IV infusion maintains stable plasma levels over time. The one-compartment open model for IV infusion explains how drug concentration rises, reaches steady state, and declines after stopping the infusion.

What Is Intravenous Infusion?

IV infusion delivers a drug directly into systemic circulation at a fixed rate (R0). Input is zero-order because the drug enters at a constant rate, while elimination follows first-order kinetics (a constant fraction removed per unit time).

Key Concepts in the Model

1. Zero-Order Input

The infusion rate remains constant regardless of drug concentration.

2. First-Order Elimination

The body eliminates the drug at a rate proportional to its concentration.

3. No Absorption Phase

The drug enters directly into circulation, making calculations easier.

Plasma Concentration–Time Profile

During infusion, plasma concentration gradually increases. It does not rise indefinitely; instead, it approaches a plateau called the steady state. When the infusion stops, the concentration declines exponentially just like an IV bolus dose.

Steady State (Css)

Steady state is reached when the rate of drug input equals the rate of elimination. Once reached, the plasma level remains constant as long as the infusion continues.

Equation for Steady-State Concentration

Css = R0 / Cl

Where:

  • R0 = infusion rate (mg/hr)
  • Cl = clearance (L/hr)

Time to Reach Steady State

Steady state is achieved after approximately 4–5 half-lives, regardless of infusion rate.

Important Points

  • Increasing the infusion rate changes Css but does not change how fast steady state is reached.
  • Half-life determines how quickly steady state occurs.

Concentration During Infusion

The concentration at any time (t) during infusion is calculated as:

Ct = Css (1 − e−kt)

Interpretation

  • The curve rises quickly at first
  • Then slowly approaches steady state

Concentration After Stopping the Infusion

When infusion stops, drug concentration decreases exponentially:

Ct = Css · e−kt

Loading Dose with Infusion

Some drugs have long half-lives (e.g., digoxin, theophylline). To achieve therapeutic levels faster, a loading dose may be given.

Loading Dose = Ctarget × Vd

Factors Affecting Intravenous Infusion Pharmacokinetics

  • Infusion rate: directly changes steady-state concentration
  • Clearance: higher clearance → lower Css
  • Half-life: determines time to steady state
  • Volume of distribution (Vd): affects loading dose

Clinical Applications

1. Maintaining Constant Drug Levels

Useful for drugs with narrow therapeutic windows (e.g., lidocaine, heparin).

2. Intensive Care and Emergency Treatment

Allows tight control of plasma concentration for critically ill patients.

3. Drugs with Short Half-Lives

Continuous infusion helps maintain therapeutic effect without frequent dosing.

4. Therapeutic Drug Monitoring (TDM)

Infusion models help guide dose adjustments based on measured plasma levels.

Advantages of intravenous Infusion

  • Provides stable drug concentrations
  • Prevents peaks and troughs seen with bolus dosing
  • Allows precise control in emergencies

Limitations

  • Requires infusion equipment (pump or drip)
  • Risk of infection at injection site
  • Not suitable for all drugs or outpatient settings

Detailed Notes:

For PDF style full-color notes, open the complete study material below:

PATH: PHARMD/ PHARMD NOTES/ PHARMD FOURTH YEAR NOTES/ BIOPHARMACEUTICS AND PHARMACOKINETICS/ ONE-COMPARTMENT OPEN MODEL FOR INTRAVENOUS INFUSION.

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