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dc.contributor.authorIvanov, A. A.en
dc.contributor.authorAlexandrov, D. V.en
dc.contributor.authorAlexandrova, I. V.en
dc.date.accessioned2020-10-20T16:36:44Z-
dc.date.available2020-10-20T16:36:44Z-
dc.date.issued2020-
dc.identifier.citationIvanov 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.en
dc.identifier.issn1364503X-
dc.identifier.otherhttps://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2019.0246pdf
dc.identifier.other1good_DOI
dc.identifier.other28ba5094-d146-4007-bb1b-9c8014742593pure_uuid
dc.identifier.otherhttp://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85083278110m
dc.identifier.urihttp://elar.urfu.ru/handle/10995/92667-
dc.description.abstractA 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.en
dc.description.sponsorshipRussian Science Foundation, RSF: 18-19-00008en
dc.description.sponsorshipData 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).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherRoyal Society Publishingen
dc.relationinfo:eu-repo/grantAgreement/RSF//18-19-00008en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourcePhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciencesen
dc.subjectDISSOLUTIONen
dc.subjectMICROCRYSTALSen
dc.subjectPARTICLE-SIZE DISTRIBUTION FUNCTIONen
dc.subjectPHASE TRANSFORMATIONSen
dc.subjectBIOLOGYen
dc.subjectCRYSTALSen
dc.subjectDISTRIBUTION FUNCTIONSen
dc.subjectMICROCRYSTALSen
dc.subjectPARTICLE SIZEen
dc.subjectPARTICLE SIZE ANALYSISen
dc.subjectPOLYDISPERSITYen
dc.subjectARBITRARY CROSS SECTIONen
dc.subjectDIFFERENTIAL MODELSen
dc.subjectDISSOLUTION KINETICSen
dc.subjectFLOWING LIQUIDen
dc.subjectLIVING ORGANISMSen
dc.subjectNONLINEAR BEHAVIOURSen
dc.subjectPARTICLE CONCENTRATIONSen
dc.subjectPARTICLE FLUXESen
dc.subjectDISSOLUTIONen
dc.titleDissolution of polydisperse ensembles of crystals in channels with a forced flowen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1098/rsta.2019.0246-
dc.identifier.scopus85083278110-
local.affiliationDepartment of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation
local.contributor.employeeIvanov, A.A., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation
local.contributor.employeeAlexandrov, D.V., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation
local.contributor.employeeAlexandrova, I.V., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation
local.issue378-
local.volume2171-
dc.identifier.wos000526681700004-
local.identifier.pure12665147-
local.description.order246-
local.identifier.eid2-s2.0-85083278110-
local.fund.rsf18-19-00008-
local.identifier.wosWOS:000526681700004-
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