| Abstract: |
| Controlled Drug Delivery Devices (CDD) have demonstrated superior therapeutic performance compared to conventional drug delivery systems (DD). Progress in materials science and bio-nanotechnology has enabled the development of more advanced CDD platforms, enhancing targeted delivery while reducing adverse side effects.
From the mathematical point of view, the description of the drug delivery from a CDD poses several challenges, including selecting appropriate materials and understanding their impact on release kinetics, as well as accurately describing drug transport within the target tissue. From a numerical perspective, the development of stable and accurate methods capable of simulating the drug delivery process also presents significant challenges.
In this talk we will focus on the mathematical modeling, numerical simulation and numerical analysis of drug release kinetics from matrix systems. Specifically, the transport of small molecules through a polymeric material. In this context, we assume that a fluid diffuses into a swelling matrix and causes a deformation, which induces a stress-driven diffusion and consequently a non-Fickian mass flux.
Other multiphysics scenarios will be considered where similar results are established for diffusion processes enhanced by temperature. Numerical results illustrating the behavior of the models and the obtained theoretical results will be presented. |
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