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Analytical and numerical study of diffusion-controlled drug release from composite spherical matrices
Amalia Hadjitheodorou1, George Kalosakas2
1Physics Department, University of Patras, Rio GR-26504, Greece.
This study models drug diffusion from composite spheres using analytical and numerical methods. Results show drug release follows a stretched exponential function, dependent on device geometry and diffusion rates.
Area of Science:
- Pharmacokinetics and Drug Delivery
- Materials Science and Engineering
- Computational Modeling
Background:
- Composite spherical formulations are used for controlled drug release.
- Understanding diffusion kinetics is crucial for optimizing drug delivery systems.
Purpose of the Study:
- To investigate drug diffusion from composite spheres with varying diffusion coefficients.
- To analytically and numerically model diffusion-controlled drug release kinetics.
Main Methods:
- Exact solution of Fick's second law for composite spheres.
- Monte Carlo simulations for numerical data acquisition.
- Analysis of drug release profiles using a stretched exponential function.
Main Results:
- Fractional drug release profiles are accurately described by a stretched exponential function.
- Release kinetics depend on geometrical radii and diffusion coefficients of the core and shell.
- Theoretical and numerical results show similar dependencies.
Conclusions:
- The stretched exponential function effectively models drug release from composite spheres.
- Device characteristics significantly influence drug release kinetics.
- Approximate analytical expressions for release dependencies were derived.
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