Subdiffusive model of substance releasing from a thick membrane

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dc.creatorKosztołowicz, Tadeusz
dc.creatorDworecki, Kazimierz
dc.creatorLewandowska, Katarzyna D.
dc.date2008-09-10
dc.date.accessioned2026-07-07T10:02:02Z
dc.date.available2026-07-07T10:02:02Z
dc.descriptionWe study both theoretically and experimentally the process of subdiffusive substance releasing from a thick membrane. The theoretical model uses the subdiffusion equation with fractional time derivative and specific boundary conditions at the membrane surfaces. Using a special \textit{ansatz} we find analytical formulas describing the time evolution of concentration profiles and an amount of the substance remains in the membrane. Fitting the theoretical functions to the experimental results, we estimate the subdiffusion coefficient of polyethylene glycol 2000 in agarose hydrogel.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0809.1809
dc.identifierhttp://arxiv.org/abs/0809.1809
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168837
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleSubdiffusive model of substance releasing from a thick membrane
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