A structural model of radiation effects in living cells

The chance mechanism of cell damage and of repair in the course of irradiation involves two details familiar to biologists that thus far seem to have been overlooked in mathematical treatment. One of these details is that, generally, the passage of a single "primary" radiation particle generates a "cluster" of secondaries which can produce "hits" that damage the living cell. With high linear energy transfer, each cluster contains very many secondary particles. With low linear energy transfer, the number of secondaries per cluster is generally small. The second overlooked detail of the chance mechanism is concerned with what may be called the time scales of radiation damage and of the subsequent repair. The generation of a cluster of secondary particles and the possible hits occur so rapidly that, for all practical purposes, they may be considered as occurring instantly. On the other hand, the subsequent changes in the damaged cells appear to require measurable amounts of time. The constructed stochastic model embodies these details, the clustering of secondary particles and the time scale difference. The results explain certain details of observed phenomena.