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© 2020 IOP Publishing Ltd.While the pursuit of better time resolution in Positron Emission Tomography (PET) is rapidly evolving, little work has been performed on Time of Flight (TOF) image quality at high time resolution in the presence of modelling inconsistencies. This works focuses on the effect of using the wrong attenuation map in the system model, causing perturbations in the reconstructed radioactivity image. Previous work has usually considered the effects to be local to the area where there is attenuation mismatch, and has sh