A rotating iterative procedure (RIP) for estimating hybrid constants in multi-compartment analysis on desk computers

Area of Science:

• Pharmacokinetics
• Computational Biology
• Biomathematics

Background:

• Pharmacokinetic analysis often involves fitting complex multiexponential equations to experimental data.
• Non-linear least squares fitting is a common but computationally intensive method.
• Existing methods may require significant computational resources or complex mathematical approaches.

Purpose of the Study:

• To present the rotating iterative procedure (RIP) as an efficient programming concept for pharmacokinetic data analysis.
• To detail the algorithms for estimating and correcting logarithmic components in multiexponential equations.
• To provide a practical guide for implementing RIP in pharmacokinetic studies using modern computing resources.

Main Methods:

• Development of the rotating iterative procedure (RIP) for non-linear least squares fitting.
• Presentation of algorithms for primary estimation and correction of logarithmic components.
• Implementation details for modern electronic desk-top computers, including a BASIC program example.
• Step-by-step description of the procedure for pharmacokinetic analysis.

Main Results:

• The rotating iterative procedure (RIP) is computationally economical in program and register capacity.
• Algorithms for estimating and correcting logarithmic components are presented with minimal complex mathematics.
• A practical workflow for pharmacokinetic analysis using RIP is described.
• A skeleton BASIC program facilitates implementation.

Conclusions:

• The rotating iterative procedure (RIP) provides an accessible and efficient method for pharmacokinetic data analysis.
• RIP simplifies the fitting of multiexponential equations, suitable for modern computational environments.
• The presented algorithms and program example enable practical application in pharmacokinetic research.