Method of modelling the compaction behaviour of cylindrical pharmaceutical tablets
Ahmat, Norhayati ; Ugail, Hassan ; Gonzalez Castro, Gabriela
Ahmat, Norhayati
Ugail, Hassan
Gonzalez Castro, Gabriela
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2010
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Abstract
The mechanisms involved for compaction of pharmaceutical powders have become a crucial step in the development cycle for robust tablet design with required properties. Compressibility of pharmaceutical materials is measured by a force-displacement relationship which is commonly analysed using a well known method, the Heckel model. This model requires the true density and compacted powder mass value to determine the powder mean yield pressure. In this paper, we present a technique for shape modelling of pharmaceutical tablets based on the use of partial differential equations (PDEs). This work also presents an extended formulation of the PDE method to a higher dimensional space by increasing the number of parameters responsible for describing the surface in order to generate a solid tablet. Furthermore, the volume and the surface area of the parametric cylindrical tablet have been estimated numerically. Finally, the solution of the axisymmetric boundary value problem for a finite cylinder subject to a uniform axial load has been utilised in order to model the displacement components of a compressed PDE-based representation of a tablet. The Heckel plot obtained from the developed model shows that the model is capable of predicting the compaction behaviour of pharmaceutical materials since it fits the experimental data accurately.
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Ahmat N., Ugail H. and Gonzalez Castro G. (2011). Method of modelling the compaction behaviour of cylindrical pharmaceutical tablets. International Journal of Pharmaceutics. Vol. 405, Nos. 1-2, pp. 113-121.
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