“…Briefly put, instead of warping and accumulating the dose distribution on each image phase, our approach deforms the calculational dose grid as a function of time, the vectors for this deformation being extracted from 4D imaging such as 4DCT or 4DMRI (Boye et al). This approach allows to model motion effects at much higher temporal resolutions than the conventional approach, and many studies on the effects of motion and the effectiveness of motion mitigation strategies have been conducted using this 4D dose calculation (Bernatowicz et al (2013), Bernatowicz et al (2016), Knopf et al (2011), Knopf et al (2013), Dueck et al (2016), Gorgisyan et al (2017), Zhang et al (2012), Zhang et al (2013), Zhang et al (2014), Zhang et al (2015), Zhang et al (2016), Zhang et al (2017)). As such, and as is the case for all other components of a treatment planning system, such a 4DDC needs to be commissioned and verified, particularly its ability to model the complex effects of the temporal interplays between the delivery dynamics of PBS proton therapy and motion of the patient.…”