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Related Experiment Videos

General solution for diffusion-controlled dissolution of spherical particles. 1. Theory.

J Wang1, D R Flanagan

  • 1Division of Pharmaceutics, College of Pharmacy, The University of Iowa, Iowa City, Iowa 52242, USA.

Journal of Pharmaceutical Sciences
|July 7, 1999
PubMed
Summary
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This study re-evaluates classical particle dissolution rate laws, finding the cube-root law

Area of Science:

  • Physical Chemistry
  • Chemical Engineering
  • Materials Science

Background:

  • Classical particle dissolution rate expressions, including the cube-root law, are widely used.
  • An assumption in the cube-root law's derivation may limit its accuracy in diffusion-controlled dissolution.
  • Existing models offer approximate solutions to general diffusion layer phenomena.

Purpose of the Study:

  • To analyze the validity of traditional particle dissolution rate expressions.
  • To develop a more general model for particle dissolution.
  • To investigate the influence of particle size to diffusion layer thickness ratio on dissolution profiles.

Main Methods:

  • Mathematical analysis of diffusion-controlled particle dissolution.
  • Derivation of a general solution to the diffusion layer model for spherical particles.

Related Experiment Videos

  • Simulation of dissolution data using the general model.
  • Development of a new semiempirical general particle dissolution equation.

    • Main Results:

    • The cube-root law is accurate for large particles relative to the diffusion layer; the two-thirds-root law for small particles.
    • The ratio of particle size to diffusion layer thickness significantly impacts dissolution profiles.
    • A new general equation unifies classical expressions and explains their limitations.

    Conclusions:

    • Traditional particle dissolution laws are approximate solutions to a general diffusion layer model.
    • The derived general diffusion layer model and new equation provide a more comprehensive understanding of particle dissolution.
    • The ratio of particle size to diffusion layer thickness is a critical parameter in dissolution modeling.