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    Modelling the Mechanical Behaviour of a Pharmaceutical Tablet Using PDEs.

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    Publication date
    2012-01
    Author
    Ahmat, Norhayati
    Ugail, Hassan
    Gonzalez Castro, Gabriela
    Keyword
    PDE-based surface representation
    Pharmaceutical tablets
    Solid dosage forms
    Compressibility
    Compactibility
    Shape modelling
    Rights
    © 2012 Springer. Reproduced in accordance with the publisher's self-archiving policy.
    Peer-Reviewed
    yes
    
    Metadata
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    Abstract
    Detailed design of pharmaceutical tablets is essential nowadays in order to produce robust tablets with tailor-made properties. Compressibility and compactibility are the main compaction properties involved in the design and development of solid dosage forms. The data obtained from measured forces and displacements of the punch are normally analysed using the Heckel model to assess the mechanical behaviour of pharmaceutical powders. In this paper, we present a technique for shape modelling of pharmaceutical tablets based on the PDE method. We extended the formulation of the PDE method to a higher dimensional space in order to generate a solid tablet and a cuboid mesh is created to represent the tablet¿s components. We also modelled the displacement components of a compressed PDE- based representation of a tablet by utilising the solution of the axisymmetric boundary value problem for a finite cylinder subject to a uniform axial load. The experimental data and the results obtained from the developed model are shown in Heckel plots and a good agreement is found between both.
    URI
    http://hdl.handle.net/10454/5428
    Version
    Accepted Manuscript
    Citation
    Ahmat, N., Ugail, H. and Gonzalez Castro, G. (2012). Modelling the Mechanical Behaviour of a Pharmaceutical Tablet Using PDEs. In: Gunther, M., Bartel, A., Brunk, M., Schops, S. and Striebel, M. (Eds.). Progress in Industrial Mathematics at ECMI 2010. Springer. pp. 505-512.
    Link to publisher’s version
    http://www.springer.com/mathematics/applications/book/978-3-642-25099-6
    Type
    Book chapter
    Notes
    Available in full text since 5th Feb 2013 following the publisher's embargo period.
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    Engineering and Informatics Publications

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