Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/92667
Title: Dissolution of polydisperse ensembles of crystals in channels with a forced flow
Authors: Ivanov, A. A.
Alexandrov, D. V.
Alexandrova, I. V.
Issue Date: 2020
Publisher: Royal Society Publishing
Citation: Ivanov A. A. Dissolution of polydisperse ensembles of crystals in channels with a forced flow / A. A. Ivanov, D. V. Alexandrov, I. V. Alexandrova. — DOI 10.1098/rsta.2019.0246 // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. — 2020. — Vol. 2171. — Iss. 378. — 246.
Abstract: 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. © 2020 The Author(s) Published by the Royal Society. All rights reserved.
Keywords: DISSOLUTION
MICROCRYSTALS
PARTICLE-SIZE DISTRIBUTION FUNCTION
PHASE TRANSFORMATIONS
BIOLOGY
CRYSTALS
DISTRIBUTION FUNCTIONS
MICROCRYSTALS
PARTICLE SIZE
PARTICLE SIZE ANALYSIS
POLYDISPERSITY
ARBITRARY CROSS SECTION
DIFFERENTIAL MODELS
DISSOLUTION KINETICS
FLOWING LIQUID
LIVING ORGANISMS
NONLINEAR BEHAVIOURS
PARTICLE CONCENTRATIONS
PARTICLE FLUXES
DISSOLUTION
URI: http://hdl.handle.net/10995/92667
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85083278110
WOS ID: 000526681700004
PURE ID: 12665147
ISSN: 1364503X
DOI: 10.1098/rsta.2019.0246
metadata.dc.description.sponsorship: Russian Science Foundation, RSF: 18-19-00008
Data accessibility. This article has no additional data. Authors’ contributions. All authors contributed equally to the present research article. Competing interests. The authors declare that they have no competing interests. Funding. This work was supported by the Russian Science Foundation (grant no. 18-19-00008).
RSCF project card: 18-19-00008
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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