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A new rational model for tablet strength-pressure relation
1Assoc. prof. Emeritus, Department of Pharmacy, University of Copenhagen, Universitetsparken 2, DK-2500 Copenhagen Ø, Denmark.
Summary
A new model describes tablet strength and elastic recovery, showing a preferred polynomial equation for excipients with significant elastic deformation. This model simplifies calculations and reveals a linear relationship for polymer materials.
Area of Science:
- Pharmaceutical Sciences
- Materials Science
- Physical Chemistry
Background:
- Excipient elastic recovery significantly impacts tablet mechanical properties.
- Understanding the relationship between pressure, tablet strength, and elastic recovery is crucial for formulation development.
Purpose of the Study:
- To develop and evaluate mathematical models describing the relationship between compression pressure, tablet strength, and elastic recovery in pharmaceutical excipients.
- To identify the most suitable model for characterizing excipients with substantial elastic recovery.
Main Methods:
- Proposed a model combining linear and curved components to represent tablet strength under pressure.
- Investigated three models for the elastic effect: exponential, power-function, and quadratic.
- Evaluated models based on fitness, internal correlation, and parameter-recovery relationships.
- Analyzed tablet elastic recovery for 8 polymer materials and brittle materials like lactose.
Main Results:
- A simple polynomial model (TS = aP - bP² + c) demonstrated superior fitness and calculation simplicity.
- A notable linear relationship was found between elastic recovery and the ratio b/a² for polymer excipients.
- For brittle materials, the model simplified to a linear equation, reflecting minimal elastic deformation.
Conclusions:
- The proposed polynomial model effectively captures the complex behavior of excipients with significant elastic recovery.
- The findings provide a simplified yet accurate method for predicting tablet strength and elastic recovery.
- The model offers valuable insights for optimizing tablet formulations and manufacturing processes.
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