As a result of some deviations in the installation of the X-ray inspection plant ‘Extravolt-225/1600’ two workers of an X-ray inspection laboratory were exposed to the radiation in a dose enough to cause an acute local radiolesions (LRs). The first patient was diagnosed with an acute LR of the hands of severe and extremely severe degree. The second patient was diagnosed with a mild LR of her right hand. The first patient received a surgical treatment followed by subcutaneous introduction of the autologous mesenchymal stem cells. The second patient received only conservative treatment. The complete epithelization of the traumatic surface was achieved. Modeling the incident with the following EPR analysis of the compact substance of the ablated bone structures made it possible to specify the spatial–temporal properties of the exposure.