TY  - JOUR
AU  - Čukić, Milena
AU  - Galović, Slobodanka
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11090
AB  - Molecular transport through a composite multilayer membrane is a central process in transdermal drug delivery (TDD). Classical Fickean approach treats skin as a pseudo-homogenous membrane, while in reality skin is highly heterogeneous system as shown in basic physiological research. Particle transport across such systems shows anomalous diffusive behavior that is described by fractional models. These models don't consider experimentally observed dependence of particle transport nature on time scale. The possible way of inclusion of that observation in model of transdermal transport is presented in this paper. The generalized fractional models of the spectral functions of the concentration profile and the cumulative amount of the drug absorbed through the bloodstream are derived. The derived model predicts resonances in concentration profile and larger cumulative amount of the drug in both the short-time limit and the long-time limit, which can have significant physiological implications. © 2023 The Authors
T2  - Chaos, Solitons & Fractals
T1  - Mathematical modeling of anomalous diffusive behavior in transdermal drug-delivery including time-delayed flux concept
VL  - 172
SP  - 113584
DO  - 10.1016/j.chaos.2023.113584
ER  - 

@article{
author = "Čukić, Milena and Galović, Slobodanka",
year = "2023",
abstract = "Molecular transport through a composite multilayer membrane is a central process in transdermal drug delivery (TDD). Classical Fickean approach treats skin as a pseudo-homogenous membrane, while in reality skin is highly heterogeneous system as shown in basic physiological research. Particle transport across such systems shows anomalous diffusive behavior that is described by fractional models. These models don't consider experimentally observed dependence of particle transport nature on time scale. The possible way of inclusion of that observation in model of transdermal transport is presented in this paper. The generalized fractional models of the spectral functions of the concentration profile and the cumulative amount of the drug absorbed through the bloodstream are derived. The derived model predicts resonances in concentration profile and larger cumulative amount of the drug in both the short-time limit and the long-time limit, which can have significant physiological implications. © 2023 The Authors",
journal = "Chaos, Solitons & Fractals",
title = "Mathematical modeling of anomalous diffusive behavior in transdermal drug-delivery including time-delayed flux concept",
volume = "172",
pages = "113584",
doi = "10.1016/j.chaos.2023.113584"
}

Čukić, M.,& Galović, S.. (2023). Mathematical modeling of anomalous diffusive behavior in transdermal drug-delivery including time-delayed flux concept. in Chaos, Solitons & Fractals, 172, 113584.
https://doi.org/10.1016/j.chaos.2023.113584

Čukić M, Galović S. Mathematical modeling of anomalous diffusive behavior in transdermal drug-delivery including time-delayed flux concept. in Chaos, Solitons & Fractals. 2023;172:113584.
doi:10.1016/j.chaos.2023.113584 .

Čukić, Milena, Galović, Slobodanka, "Mathematical modeling of anomalous diffusive behavior in transdermal drug-delivery including time-delayed flux concept" in Chaos, Solitons & Fractals, 172 (2023):113584,
https://doi.org/10.1016/j.chaos.2023.113584 . .