Modeling pulsed magneto-optical stimulation for controlled nanoparticle aggregation and hyperthermia in a...

This study addresses the open challenge of optimizing coupled magneto-photothermal interactions in precision oncology by developing the first analytical framework that simultaneously incorporates pulsed magnetic stimuli, laser-induced hyperthermia, non-Newtonian (Casson) rheology, extracellular matrix resistance, and hybrid nanoparticle loading within a unified boundary-layer model near a tumour interface. Governing momentum and energy equations, formulated under Boussinesq and boundary-layer approximations and non-dimensionalised consistently, are solved in closed form via Laplace transforms, enabling rapid and transparent parametric exploration unavailable to purely numerical approaches. Quantitative analysis reveals critical design trade-offs: a 25% increase in magnetic field intensity suppresses near-wall velocity by 18%, confirming enhanced nanoparticle retention at the cost of elevated hydrodynamic drag, while a tenfold rise in nanoparticle concentration elevates peak temperature by 150% but concurrently reduces velocity by 30%, identifying an optimal therapeutic loading window of 4--6%$. These results demonstrate that effective tumour treatment cannot be achieved by independently maximising any single parameter, but instead requires co-optimization of magnetic intensity, nanoparticle concentration, and thermal pulse sequencing. The proposed framework provides quantitative guidelines directly applicable to experimental protocol design and adaptive, patient-specific treatment planning in image-guided magnetic hyperthermia therapy.