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Theoretical isotropic dissolution of nonspherical particles

P V Pedersen, K F Brown

    Journal of Pharmaceutical Sciences
    |October 1, 1976
    PubMed
    Summary

    This study presents simplified equations for particle dissolution, using spherical approximations to accurately model real-world multiparticulate systems and minimize errors in dissolution profiles.

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    Area of Science:

    • Physical Chemistry
    • Materials Science
    • Chemical Engineering

    Background:

    • Understanding particle dissolution is crucial for various industrial processes, including pharmaceuticals and materials science.
    • Accurately modeling the dissolution of non-spherical particles presents significant challenges.
    • Existing models often struggle to capture the complex dissolution behavior of real-world systems.

    Purpose of the Study:

    • To develop simplified, accurate equations for the isotropic dissolution of single particles across different crystal systems.
    • To introduce a method for approximating dissolution using a hypothetical spherical particle.
    • To provide formulas for calculating an equivalent spherical diameter and minimizing approximation errors.

    Main Methods:

    • Derivation of dissolution equations for simple forms of the six crystal systems.
    • Approximation of these equations using a hypothetical spherical particle model.
    • Development of formulas for calculating the equivalent spherical diameter.
    • Minimization of weighted errors in the spherical approximations.

    Main Results:

    • Three basic dissolution equations were derived, well-approximated by the spherical model.
    • In some cases, the spherical approximation provided an exact representation of dissolution.
    • Formulas were established for calculating the equivalent spherical diameter and minimizing errors.
    • Spherical approximations offer a viable method for modeling multiparticulate systems.

    Conclusions:

    • The spherical approximation provides a robust and simplified approach to modeling particle dissolution.
    • This method is particularly useful for complex multiparticulate systems where direct modeling is difficult.
    • Careful calculation of the equivalent spherical diameter is essential for accurate dissolution profile predictions.

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