  In this work, we combine a new form of the cell survival fraction developed
in [29] with the Gompertz cell growth model. The result is an equation that
models the cell growth/death under a radiation dose and can be applied in a
conventional radiation treatment (we chose conventional fractionation and
hypofractionation). Later we optimize this equation in order to obtain the
optimal doses that reduce the tumor's size or the number of cancer cells. We
applied our results to breast cancer data: invasive ductal carcinoma (IDC) and
ductal carcinoma in situ (DCIS)
