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The present study develops a comprehensive computational framework to model the coupled transport, deposition, and release behaviour of Ibuprofen-loaded (IBU) core-shell sub-micron particles (MPs) delivered by dual-channel hollow microneedles (HMNs). The model integrates laminar fluid flow within the MN lumen and Darcy-based porous flow in the viable epidermis (VE) and dermis layers of the skin. In addition, the model incorpor...