Compartmental analysis and its manifold applications to pharmacokinetics

Area of Science:

• Pharmacokinetics
• Mathematical Biology
• Physiology

Background:

• The concept of a "compartment" is fundamental in pharmacokinetics.
• Early models treated physiological spaces as simple dilution volumes.
• Understanding substance distribution requires more complex models.

Purpose of the Study:

• To illustrate the historical development of the pharmacokinetic compartment concept.
• To demonstrate the application of mathematical techniques for analyzing substance distribution.
• To explore the determination of pharmacokinetic parameters from experimental data.

Main Methods:

• Review of the evolution of the compartment model.
• Application of differential equations to describe substance fate.
• Utilizing mathematical techniques for qualitative and quantitative analysis.
• Computation of pharmacokinetic parameters from experimental data.

Main Results:

• The compartment concept has evolved from simple dilution to interconnected networks.
• Differential equations provide a framework for analyzing substance distribution.
• Key pharmacokinetic parameters can be estimated, with ranges determined when exact values are elusive.

Conclusions:

• The compartment model has advanced significantly, enabling more sophisticated pharmacokinetic analyses.
• Mathematical modeling is crucial for understanding drug disposition and disposition.
• Even incomplete data can yield valuable insights into pharmacokinetic parameters.