Mathematical model of the sarcomogenic effect of osteotropic αemitters

A model for osteosarcoma induction of α-emitters is proposed which is based on a well-known conception on the mechanisms of radiation-induced cancer, the processes of bone tissue regeneration, and the kinetics of cells subjected to carcinogenic risk. The main mathematical relations of the proposed model are presented. The dose-response relationship of the model is compared with the epidemiological data available on the devepolopment of osteosarcoma in patients affected by long-lived radium isotopes (sup(226)Ra, sup(228)Ra)