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A pharmacokinetic model for multiple sites discontinuous gastrointestinal absorption
Y Plusquellec1, C Efthymiopoulos, P Duthil
1UFR de Mathématiques, Université Paul Sabatier, Toulouse, France.
Medical Engineering & Physics
|February 15, 2000
Summary
This study presents a pharmacokinetic model for discontinuous drug absorption in the gut. The model quantifies absorption from multiple sites, aiding in estimating drug concentration, area under the curve, and bioavailability.
Area of Science:
- Pharmacokinetics
- Mathematical Modeling
- Drug Absorption
Background:
- Oral drug absorption is often discontinuous, occurring at multiple intestinal sites.
- Existing models may not fully capture complex absorption profiles.
- Understanding site-specific absorption is crucial for optimizing drug efficacy.
Purpose of the Study:
- To develop a general pharmacokinetic model for discontinuous drug absorption from multiple successive intestinal sites.
- To analytically solve the model to determine drug concentration, absorption contribution, area under the curve (AUC), and bioavailability.
- To provide a tool for characterizing individual absorption sites.
Main Methods:
- Developed a pharmacokinetic model incorporating discontinuous absorption from 'n' successive intestinal sites with intervening non-absorbing segments.
- Utilized Laplace transforms to derive analytical expressions for drug amounts, plasma concentration, AUC, and bioavailability.
- Applied Heaviside's theorem for n=2 sites and Bromwich's theorem for n>=3 sites.
Main Results:
- The model successfully simulates drug absorption, demonstrating the efficacy of individual absorption sites.
- A specific case for n=2 sites was validated using ranitidine data from the literature.
- Real-world data with three absorption peaks were accurately fitted using the n=3 site model.
Conclusions:
- The proposed general pharmacokinetic model effectively characterizes discontinuous oral absorption.
- This model serves as a valuable tool for quantifying the contribution of each absorption site.
- It enables accurate estimation of area under the curve and bioavailability for drugs with complex absorption patterns.