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

TL;DR

This paper develops a mathematical model combining cell survival and growth to optimize radiation doses for treating breast cancer, aiming to improve treatment efficacy by minimizing tumor size or cancer cell count.

Contribution

It introduces a novel equation integrating cell survival and growth models for radiation therapy optimization, specifically applied to breast cancer data.

Findings

Optimized radiation doses for breast cancer treatment.

Model effectively predicts tumor response to radiation.

Potential to personalize radiation therapy plans.

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)