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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2016, Volume 18, Number 1, Pages 108–117 (Mi svmo584)  

This article is cited in 1 scientific paper (total in 1 paper)

Applied mathematics and mechanics

Solution for inverse problem of medicine's one-dimensional diffusion out of chitosan film

A. O. Syromyasov

Ogarev Mordovia State University
Full-text PDF (409 kB) Citations (1)
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Abstract: The paper deals with one-dimensional model of medicine's diffusion out from the chitosan film (plaster) in surrounding water. The film's diffusion characteristics are determined using the set of measured average medicine concentrations in the film. The method is based on using of analytical solution of direct diffusion problem. Medicine's behaviour on the boundary of film and water may be described by the conditions of the first or of the third kind. The cases of constant and time-dependent (tending to zero as time increases) diffusion coefficient are discussed. The paper shows that using first-kind boundary conditions with the hypothesis about time-dependent diffusion coefficient leads to the best matching with experimental data.
Keywords: diffusion, chitosan film, one-dimensional problem, inverse problem, analytical solution, experimental data.
Bibliographic databases:
Document Type: Article
UDC: 517.958:544.034:615.011
Language: Russian
Citation: A. O. Syromyasov, “Solution for inverse problem of medicine's one-dimensional diffusion out of chitosan film”, Zhurnal SVMO, 18:1 (2016), 108–117
Citation in format AMSBIB
\Bibitem{Syr16}
\by A.~O.~Syromyasov
\paper Solution for inverse problem of medicine's one-dimensional diffusion out of chitosan film
\jour Zhurnal SVMO
\yr 2016
\vol 18
\issue 1
\pages 108--117
\mathnet{http://mi.mathnet.ru/svmo584}
\elib{https://elibrary.ru/item.asp?id=26322425}
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  • https://www.mathnet.ru/eng/svmo/v18/i1/p108
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
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