A calculator program for least-squares parameter estimation according to the one-compartment kinetic model with...

Area of Science:

• Pharmacokinetics
• Computational Chemistry
• Mathematical Modeling

Background:

• Analyzing drug concentration data requires robust statistical methods.
• The one-compartment model with zero-order input is common for sustained-release formulations.
• Existing computational tools may lack portability or specific functionalities.

Purpose of the Study:

• To describe a novel calculator program for pharmacokinetic data analysis.
• To implement a nonlinear least-squares fitting algorithm on a portable calculator.
• To facilitate the analysis of zero-order input data within a one-compartment model framework.

Main Methods:

• Development of a calculator program for Hewlett-Packard HP-41 CV.
• Application of the Gauss-Newton iterative algorithm, modified by Hartley.
• Inclusion of a subroutine for initial parameter estimation.
• Utilizing nonlinear least-squares fitting for data analysis.

Main Results:

• Successful implementation of a nonlinear least-squares fitting program on a calculator.
• Demonstration of the program's utility with plasma concentration data from a theophylline formulation.
• Accurate fitting of data to the one-compartment model with zero-order input.

Conclusions:

• The developed calculator program provides a practical tool for pharmacokinetic analysis.
• This portable solution enables efficient data fitting for sustained-release drug studies.
• The program simplifies the application of complex algorithms in a clinical or research setting.