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 . .

TY  - JOUR
AU  - Čukić, Milena
AU  - Savić, Danka A.
AU  - Sidorova, Julia
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10758
AB  - Background: Disturbed heart dynamics in depression seriously increases mortality risk. Heart rate variability (HRV) is a rich source of information for studying this dynamics. This paper is a meta-analytic review with methodological commentary of the application of nonlinear analysis of HRV and its possibility to address cardiovascular diseases in depression. Objective: This paper aimed to appeal for the introduction of cardiological screening to patients with depression, because it is still far from established practice. The other (main) objective of the paper was to show that nonlinear methods in HRV analysis give better results than standard ones. Methods: We systematically searched on the web for papers on nonlinear analyses of HRV in depression, in line with PRISMA (Preferred Reporting Items for Systematic Reviews and Meta-Analyses) 2020 framework recommendations. We scrutinized the chosen publications and performed random-effects meta-analysis, using the esci module in jamovi software where standardized effect sizes (ESs) are corrected to yield the proof of the practical utility of their results. Results: In all, 26 publications on the connection of nonlinear HRV measures and depression meeting our inclusion criteria were selected, examining a total of 1537 patients diagnosed with depression and 1041 healthy controls (N=2578). The overall ES (unbiased) was 1.03 (95% CI 0.703-1.35; diamond ratio 3.60). We performed 3 more meta-analytic comparisons, demonstrating the overall effectiveness of 3 groups of nonlinear analysis: detrended fluctuation analysis (overall ES 0.364, 95% CI 0.237-0.491), entropy-based measures (overall ES 1.05, 95% CI 0.572-1.52), and all other nonlinear measures (overall ES 0.702, 95% CI 0.422-0.982). The effectiveness of the applied methods of electrocardiogram analysis was compared and discussed in the light of detection and prevention of depression-related cardiovascular risk. Conclusions: We compared the ESs of nonlinear and conventional time and spectral methods (found in the literature) and demonstrated that those of the former are larger, which recommends their use for the early screening of cardiovascular abnormalities in patients with depression to prevent possible deleterious events. ©Milena Čukić, Danka Savić, Julia Sidorova.
T2  - JMIR Mental Health
T1  - When Heart Beats Differently in Depression: Review of Nonlinear Heart Rate Variability Measures
VL  - 10
SP  - e40342
DO  - 10.2196/40342
ER  - 

@article{
author = "Čukić, Milena and Savić, Danka A. and Sidorova, Julia",
year = "2023",
abstract = "Background: Disturbed heart dynamics in depression seriously increases mortality risk. Heart rate variability (HRV) is a rich source of information for studying this dynamics. This paper is a meta-analytic review with methodological commentary of the application of nonlinear analysis of HRV and its possibility to address cardiovascular diseases in depression. Objective: This paper aimed to appeal for the introduction of cardiological screening to patients with depression, because it is still far from established practice. The other (main) objective of the paper was to show that nonlinear methods in HRV analysis give better results than standard ones. Methods: We systematically searched on the web for papers on nonlinear analyses of HRV in depression, in line with PRISMA (Preferred Reporting Items for Systematic Reviews and Meta-Analyses) 2020 framework recommendations. We scrutinized the chosen publications and performed random-effects meta-analysis, using the esci module in jamovi software where standardized effect sizes (ESs) are corrected to yield the proof of the practical utility of their results. Results: In all, 26 publications on the connection of nonlinear HRV measures and depression meeting our inclusion criteria were selected, examining a total of 1537 patients diagnosed with depression and 1041 healthy controls (N=2578). The overall ES (unbiased) was 1.03 (95% CI 0.703-1.35; diamond ratio 3.60). We performed 3 more meta-analytic comparisons, demonstrating the overall effectiveness of 3 groups of nonlinear analysis: detrended fluctuation analysis (overall ES 0.364, 95% CI 0.237-0.491), entropy-based measures (overall ES 1.05, 95% CI 0.572-1.52), and all other nonlinear measures (overall ES 0.702, 95% CI 0.422-0.982). The effectiveness of the applied methods of electrocardiogram analysis was compared and discussed in the light of detection and prevention of depression-related cardiovascular risk. Conclusions: We compared the ESs of nonlinear and conventional time and spectral methods (found in the literature) and demonstrated that those of the former are larger, which recommends their use for the early screening of cardiovascular abnormalities in patients with depression to prevent possible deleterious events. ©Milena Čukić, Danka Savić, Julia Sidorova.",
journal = "JMIR Mental Health",
title = "When Heart Beats Differently in Depression: Review of Nonlinear Heart Rate Variability Measures",
volume = "10",
pages = "e40342",
doi = "10.2196/40342"
}

Čukić, M., Savić, D. A.,& Sidorova, J.. (2023). When Heart Beats Differently in Depression: Review of Nonlinear Heart Rate Variability Measures. in JMIR Mental Health, 10, e40342.
https://doi.org/10.2196/40342

Čukić M, Savić DA, Sidorova J. When Heart Beats Differently in Depression: Review of Nonlinear Heart Rate Variability Measures. in JMIR Mental Health. 2023;10:e40342.
doi:10.2196/40342 .

Čukić, Milena, Savić, Danka A., Sidorova, Julia, "When Heart Beats Differently in Depression: Review of Nonlinear Heart Rate Variability Measures" in JMIR Mental Health, 10 (2023):e40342,
https://doi.org/10.2196/40342 . .