Highlights Model developed of the current-biased kinetic inductance detector (CB-KID) for PHITS radiation transport simulations. Simulations modelled neutron, 4 He, 7 Li, photon and electron transport within CB-KID, and neutron-10 B reactions. Analysed factors affecting quality of images obtained using CB-KID. Simulations of 10 B dot arrays suggested sub 10 µm spatial resolution is feasible with current CB-KID design. Detection efficiency of CB-KID investigated using both Monte Carlo simulations and an analytical equation. 2 Abstract Radiation transport simulations were used to analyse neutron imaging with the currentbiased kinetic inductance detector (CB-KID). The PHITS Monte Carlo code was applied for simulating neutron, 4 He, 7 Li, photon and electron transport, 10 B(n,α) 7 Li reactions, and energy deposition by particles within CB-KID. Slight blurring in simulated CB-KID images originated from 4 He and 7 Li ions spreading out in random directions from the 10 B conversion layer in the detector prior to causing signals in the X and Y superconducting Nb nanowire meander lines. 478 keV prompt gamma rays emitted by 7 Li nuclei from neutron-10 B reactions had negligible contribution to the simulated CB-KID images. Simulated neutron images of 10 B dot arrays indicate that sub 10 µm resolution imaging should be feasible with the current CB-KID design.The effect of the geometrical structure of CB-KID on the intrinsic detection efficiency was calculated from the simulations. An analytical equation was then developed to approximate this contribution to the detection efficiency. Detection efficiencies calculated in this study are upper bounds for the reality as the effects of detector temperature, the bias current, signal processing and dead-time losses were not taken into account. The modelling strategies employed in this study could be used to evaluate modifications to the CB-KID design prior to actual fabrication and testing, conveying a time and cost saving.