University of Guilan Journal of Mathematical Modeling 2345-394X 12 3 2024 09 01 Targeted drug delivery in multi-layer capsules: an analytical and numerical study 387 403 7657 10.22124/jmm.2024.25716.2284 EN Ebrahim Azhdari Department of Mathematics, Salman Farsi University of Kazerun, Fars, Kazerun, Iran Aram Emami Department of Mathematics, Salman Farsi University of Kazerun, Fars, Kazerun, Iran Journal Article 2023 10 03 Recently, polymeric multi-layer capsules have gained a great deal of attention from the life science community. Furthermore, myriad  interesting systems have appeared in the literature with biodegradable components and biospecific functionalities. In the present work, we presented a mathematical model of drug release from a multi-layer capsule into a target tissue. The diffusion problem was described by a system of coupled partial differential equations, Fickian and non-Fickian, which we solved numerically via nonuniform finite differences method. Energy estimates were further established for the coupled system and also, the convergence properties of the proposed numerical method were justified. We ultimately demonstrated the qualitative behavior of the system. https://jmm.guilan.ac.ir/article_7657_b1fe93304162585b07b4606164278945.pdf