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Published on: January 6, 2023
Modeling the Tablet Disintegration Process Using the Finite Difference Method
Chi So1, Ajit S Narang1, Chen Mao1
1Small Molecule Pharmaceutical Sciences, Genentech, Inc., South San Francisco, CA 94080, United States.
The finite difference method (FDM) models pharmaceutical mass transport, like tablet disintegration, by simulating water uptake and disintegration dynamics. This approach provides detailed spatial-temporal insights, enhancing understanding of drug delivery processes.
Area of Science:
- Pharmaceutical Sciences
- Computational Modeling
- Chemical Engineering
Background:
- Mass transport phenomena are critical in pharmaceutical processes, influencing drug efficacy and delivery.
- Modeling diffusion accurately is essential for understanding complex systems like tablet disintegration.
- Traditional methods often lack detailed spatial-temporal resolution for dynamic processes.
Purpose of the Study:
- To introduce the finite difference method (FDM) for modeling pharmaceutically relevant mass transport.
- To demonstrate FDM's application in simulating tablet disintegration processes.
- To highlight FDM's capability in providing detailed spatial-temporal data.
Main Methods:
- FDM was applied by creating a mesh and discretizing space and time.
- Fick's second law of diffusion was solved numerically at each node.
- Tablet disintegration was simulated by modeling water uptake and a critical water content threshold.
Main Results:
- FDM simulations accurately replicated experimental tablet disintegration behaviors.
- The model captured both disintegration-controlled and water uptake-controlled conditions.
- FDM provided unprecedented spatial-temporal data on water uptake and tablet geometry evolution.
Conclusions:
- FDM is a powerful tool for in-depth analysis of tablet disintegration.
- The method offers unique advantages in visualizing dynamic changes during disintegration.
- FDM has potential for integration into tablet formulation design of experiments (DoE).
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