Department of Mathematics and Computer Science, Faculty of Basic Sciences, Salman Farsi University of Kazerun, Kazerun, Iran.
10.22067/ijnao.2025.94641.1689
Abstract
Hollow microneedles have a significant impact on transdermal drug delivery by overcoming the stratum corneum layer of the skin and delivering drugs directly to living skin tissues. In this paper, using a mathematical model, the diffusion of nanocarriers, free drugs, and bound drugs in the microneedle channel, different skin's layers, and bloodstream are described. The mechanical properties of the skin, which affect drug delivery due to the elasticity and elastin present in the dermis of the skin, are considered. The qualitative behavior of the model is studied using energy estimation. The well-posedness of the fully coupled system is examined. Numerical simulation is used to study the model's numerical behavior and sensitivity analysis.
Azhdari, E. and Emami, A. (2025). Transdermal drug delivery via a hollow microneedle considering the skin's mechanical properties: Analytical and numerical study. Iranian Journal of Numerical Analysis and Optimization, (), -. doi: 10.22067/ijnao.2025.94641.1689
MLA
Azhdari, E. , and Emami, A. . "Transdermal drug delivery via a hollow microneedle considering the skin's mechanical properties: Analytical and numerical study", Iranian Journal of Numerical Analysis and Optimization, , , 2025, -. doi: 10.22067/ijnao.2025.94641.1689
HARVARD
Azhdari, E., Emami, A. (2025). 'Transdermal drug delivery via a hollow microneedle considering the skin's mechanical properties: Analytical and numerical study', Iranian Journal of Numerical Analysis and Optimization, (), pp. -. doi: 10.22067/ijnao.2025.94641.1689
CHICAGO
E. Azhdari and A. Emami, "Transdermal drug delivery via a hollow microneedle considering the skin's mechanical properties: Analytical and numerical study," Iranian Journal of Numerical Analysis and Optimization, (2025): -, doi: 10.22067/ijnao.2025.94641.1689
VANCOUVER
Azhdari, E., Emami, A. Transdermal drug delivery via a hollow microneedle considering the skin's mechanical properties: Analytical and numerical study. Iranian Journal of Numerical Analysis and Optimization, 2025; (): -. doi: 10.22067/ijnao.2025.94641.1689
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