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May 16, 2026Open Access

Kinetics of Drug Diffusion in the Human Body: A Compartmental Mathematical Approach

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Authors

MAMichael Kunle Prof. Adebayo

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Overview

Randomized trial examines drug diffusion dynamics via mathematical models, suggesting insights for scientists and mathematicians.

Key Points

  • The research aims to create a mathematical model to understand drug diffusion across body compartments and its elimination.
  • Formulated ordinary differential equations for gastrointestinal, body, bloodstream, and urinary tract compartments.
  • Applied the Laplace method to solve for drug concentrations in each compartment.
  • Conducted numerical simulations by varying diffusion rates to observe effects on drug concentration levels.
  • Drug concentration in the body and bloodstream compartments is significantly affected by changes in diffusion rates.
  • Results showed a clear correlation between urinary and gastrointestinal concentrations and overall drug levels in the bloodstream.
  • The model's novelty lies in accounting for drug administration and concentration in gastrointestinal and urinary tracts, providing new insights.

Cite This Study

Michael Kunle Prof. Adebayo (2025) studied this question.

synapsesocial.com/papers/6a080b4ea487c87a6a40d7e1https://doi.org/10.5281/zenodo.20178250
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