Dissolution of polydisperse ensembles of crystals in channels with a forced flow
A non-stationary integro-differential model describing the dissolution of polydisperse ensembles of crystals in channels filled with flowing liquid is analysed. The particle-size distribution function, the particle flux through an arbitrary cross-section of the channel, the particle concentration pr...
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Published in | Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences Vol. 378; no. 2171; p. 20190246 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
England
The Royal Society Publishing
15.05.2020
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Subjects | |
Online Access | Get full text |
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Summary: | A non-stationary integro-differential model describing the dissolution of polydisperse ensembles of crystals in channels filled with flowing liquid is analysed. The particle-size distribution function, the particle flux through an arbitrary cross-section of the channel, the particle concentration profile, as well as the disappearance intensity of particles are found analytically. It is shown that a nonlinear behaviour of solutions is completely defined by the source term of particles introduced into the channel. In particular, the model approximately describes the processes of dissolution and transport of drug microcrystals to the target sites in a living organism, taking into account complex dissolution kinetics of drug particles. This article is part of the theme issue 'Patterns in soft and biological matters'. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 One contribution of 18 to a theme issue ‘Patterns in soft and biological matters’. |
ISSN: | 1364-503X 1471-2962 |
DOI: | 10.1098/rsta.2019.0246 |