Method of modelling the compaction behaviour of cylindrical pharmaceutical tablets

Area of Science:

• Pharmaceutical Sciences
• Materials Science
• Computational Modeling

Background:

• Tablet compaction is critical for robust pharmaceutical tablet design.
• The Heckel model is a standard method for analyzing powder compressibility using force-displacement data.
• Accurate prediction of powder compaction behavior is essential for optimizing tablet manufacturing.

Purpose of the Study:

• To present a novel technique for pharmaceutical tablet shape modeling using partial differential equations (PDEs).
• To extend the PDE method to higher dimensions for comprehensive solid tablet generation.
• To numerically estimate tablet volume and surface area and model displacement components during compression.

Main Methods:

• Development of a PDE-based shape modeling technique for pharmaceutical tablets.
• Extension of the PDE formulation to a higher dimensional space for detailed surface description.
• Numerical estimation of volume and surface area for parametric cylindrical tablets.
• Application of axisymmetric boundary value problem solutions to model compression-induced displacements.

Main Results:

• A PDE-based method for generating solid tablet representations was successfully developed.
• Numerical estimation of volume and surface area was performed for cylindrical tablets.
• The developed model accurately predicts pharmaceutical material compaction behavior, validated by Heckel plots fitting experimental data.

Conclusions:

• The proposed PDE method offers a robust approach for pharmaceutical tablet shape modeling.
• The model accurately captures the compaction behavior of pharmaceutical materials.
• This technique provides a valuable tool for optimizing tablet design and development.