By means of a recently-proposed metric or structural derivative, called
scale-q-derivative approach, we formulate differential equation that models the
cell death by a radiation exposure in tumor treatments. The considered
independent variable here is the absorbed radiation dose D instead of usual
time. The survival factor, Fs, for radiation damaged cell obtained here is in
agreement with the literature on the maximum entropy principle, as it was
recently shown and also exhibits an excellent agreement with the experimental
data. Moreover, the well-known linear and quadratic models are obtained. With
this approach, we give a step forward and suggest other expressions for
survival factors that are dependent on the complex tumor structure.Comment: 6 pages, 2 collumn
