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The radiation response of advanced non-planar multiple gate field effect transistors (MuGFETs) has been shown to have a strong dependence on fin width (W). The incorporation of total ionizing dose (TID) effects into a physics-based surface-potential compact model allows for the effects of radiation-induced degradation in MuGFET devices to be modeled in circuit simulators, e.g., SPICE. A set of extracted parameters are used in conjunction with closed-form expressions for the surface potential, thereby enabling accurate modeling of the radiation-response and its dependence on W . Total ionizing dose (TID) experiments and two-dimensional (2D) TCAD simulations are used to validate the compact modeling approach presented in this paper.