A generalization of cell survival models via fractional approach

Abstract This study investigates the relationship between radiation dose and the number of surviving cells as a result of radiation treatment by revisiting and extending linear, quadratic, and linear-quadratic cell survival models using fractional calculus. The generalized version of these models, called as fractional cell survival model, offers a deeper insight into the mechanisms underlying cell survival. This model shows a good harmony with the experimental findings, and it is also generalized the standard models when the fractional derivative orders are equal to 1. This new approach not only makes cell survival predictions more accurate, but also gives us a better understanding of how radiation affects cells and how they respond.