@article{ajams2017542,
author={Frometa-Castillo, Terman},
title={The Statistical Models Project (SMp) for Evaluations of Biological Radiation Effects},
journal={American Journal of Applied Mathematics and Statistics},
volume={5},
number={4},
pages={119--124},
year={2017},
url={http://pubs.sciepub.com/ajams/5/4/2},
issn={2328-7292},
abstract={This document provides probabilistic-mechanistic models for describing the cell kill (K) and cell sub-lethal damage (SL) for one fraction with a dose of radiation that is absorbed by a living tissue; also this provides the K and SL formalisms for fractioned irradiation regimens. These models and formalisms are based on real mean behavior of cell survival (S) - a complement of K- and strong probabilistic-radiobiological foundations. The K and SL formalisms include all possible factors affecting the biological radiation effects: dose (d), fractionations (n), SL, and the temporal factors: cell repair and cell repopulation. It is discussed some aspects about the widely used linear-quadratic (LQ) S(d) model and LQ S(n,d) formalism, and one of its derivations, the BED (biologically effective dose). The SMp K(d) parameters can be obtained from S data, or using graphical/analytical tools developed by this study. These new formalisms will be useful for simulations of treatments, and together regional damage distribution for optimizations of the treatment planning.},
doi={10.12691/ajams-5-4-2}
publisher={Science and Education Publishing}
}