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A Finite Element Method for Modeling Diffusion and Drug Release from Nanocellulose/Nanoporous Silicon Composites
Paulo Zúñiga1, Marcelo Aravena1, Silvia Ponce2
1Department of Mathematical and Physical Sciences, Catholic University of Temuco, Temuco 4813302, Chile.
Pharmaceutics
|January 25, 2025
Summary
This study developed a finite element method to model methylene blue release from nanocellulose/nanoporous silicon composites. The method accurately predicts release rates, showing material composition impacts drug delivery control.
Area of Science:
- Biomaterials Science
- Computational Modeling
- Drug Delivery Systems
Background:
- Investigated in vitro release of methylene blue (MB) from nanocellulose/nanoporous silicon (NC/nPSi) composites.
- Previous studies showed MB release rates depend on nPSi concentration, indicating potential for controlled release.
Purpose of the Study:
- Develop a finite element (FE) method to model diffusion dynamics and MB concentration relationship.
- Analyze the impact of nPSi concentration on MB release profiles.
Main Methods:
- Experimentally measured MB release profiles from NC/nPSi composites (0-1.0% nPSi) in phosphate-buffered saline (PBS) at 37°C.
- Developed mathematical models with linear/quadratic diffusion coefficient dependencies on MB concentration.
- Utilized FE method to solve Fick's equations and refined parameters by minimizing simulation-experiment error.
Main Results:
- The FE method accurately simulated experimental MB release profiles.
- Validated the accuracy and robustness of the FE method for diffusion and release processes.
Conclusions:
- nPSi concentration significantly influences release control in NC/nPSi composites.
- Material composition is crucial for designing effective drug delivery systems.
- FE method is applicable for modeling complex systems, advancing precision drug delivery.

