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Diagram of harmonic AMF (a), free (b) and immobilized functionalized MNP (c) with magnetic moment μ in a uniform AMF B, and free MNP in non-uniform AMF (d). Rm, RAu and RHD are MNP magnetic core, gold shell ad hydrodynamic radii accordingly. L—is the torque resulted from MNP-AMF interaction. The torque L produces hydrodynamic force FHD in (b) and contact force FMM in (c) applied to the macromolecule (MM) linked to MNP. Additional force Fgr is applied to MNP in non-uniform AMF (d).
