[Mathematical model of the sarcomagenic action of osteotropic alpha emitters]

A model for osteosarcoma induction by alpha-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-effect relationship of the model is compared with the epidemiological data available on the development of osteosarcoma in patients affected by long-lived radium isotopes.