The hybrid nanomaterials have emerged as next-generation medium of heat transfer due to impressive thermo-physical features arising from synergistic interaction of multiple nanoparticles. Subject to emerging need of high-performance energy-efficient systems, the hybrid nanofluids offer potential applications to advanced thermal management in energy, engineering and industrial systems. This investigation predicts the unsteady magnetized flow of hybrid nanofluid due to elastic surface moving periodically with applications of bioconvection and nonlinear thermal radiation. The suspension of uranium dioxide (UO2), iron oxide (Fe3O4) nanoparticles has been assumed along with blood base fluid. The analysis further comprises the significance of mass transfer, Brownian diffusion, thermophoretic features and chemical reactive species. The hybrid nanofluid also considered the suspension of microorganisms. The normal impact of magnetic force has been neglected. An imposed transverse magnetic field is applied; the induced magnetic field is neglected under the low magnetic Reynolds number approximation, while the Lorentz force term is retained. The computations are based on implementation of homotopy analysis technique. The results are performed comparatively for mono nanofluid (Fe3O4/Blood) and hybrid nanofluid (UO2-Fe3O4/Blood). Physical interpretation of results has been examined with thermal applications. It has been observed that inclusion of hybrid nanofluid confirms more pronounced thermal sensitivity due to superior thermal features. The proposed model justifies applications in the thermal regulation in biomedical systems, thermal enhancement of electronics systems and peak-precision heat-management operations.