<p>Magnetohydrodynamic (MHD) hybrid nanofluid (HNF) flow offers an effective mechanism for targeted drug delivery in the human cardiovascular system due to its ability to control nanoparticle transport through externally applied magnetic fields. The present study investigates the hybrid nanofluid (Fe₃O₄/Ag-Blood) flow within a rectangular domain bounded by two permeable channels. The inclusion of magnetite (Fe₃O₄) nanoparticle provides magnetic responsiveness for external flow control, whereas silver (Ag) nanoparticle contributes higher thermal conductivity and antimicrobial properties, thereby improving heat transfer and therapeutic performance. The effects of an externally applied magnetic field, thermal radiation and internal heat generation on the velocity, temperature and concentration distributions are thoroughly analyzed to evaluate the potential for precise drug localization. The governing partial differential equations (PDEs) describing continuity, momentum and energy are transformed into a system of ordinary differential equations (ODEs) using suitable similarity transformations. The resulting ODEs are solved numerically using the built-in MATLAB bvp4c solver. The magnetic parameter regulates fluid motion through the resistive Lorentz force, supporting controlled transport in drug delivery and hyperthermia therapies. Permeability enhances velocity and nanoparticle transport, improving therapeutic and imaging performance. Additionally, wall expansion reduces shear stress, which may help protect arterial walls.</p>