Modelo de Tratamiento para Tumores en Presencia de Radiaci\'on

Abstract

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)