Simular un modelo matemático que describa el crecimiento del cáncer de mama

Abstract

The aim of this research was to simulate a mathematical model that describes the growth of breast cancer, based on an algorithmic model that allows the development of possible scenarios to establish the volume of the tumour and its control. The design was quantitative comparative, descriptive, explanatory, and conceptual theoretical, in a sample of 150 patients from the Society for the Fight Against Cancer (SOLCA), Headquarter Hospital Guayaquil, who suffer from breast cancer at different stages and time ranges, obtained through non-probabilistic sampling. To do this, we proceeded to carry out the appropriate programming in Wolfram Mathematica where the data obtained were processed in Excel software, a regression model was carried out with the variables: days, location, carcinoma, and type, calculating the R-squared statistic. The ANOVA statistic indicated that there were no variables that contributed significantly to the regression model, obtaining a value of 2.9%, making the model unreliable. For this reason, several models were made combining independent variables, with the days of disease progress, and we found that the logarithmic function is the best option, with an R-squared value of 58.03%, which is acceptable for explaining growth. The mathematical model used in this study for breast cancer is applicable given that we found favourable results that demonstrate and describe the growth of breast cancer in the SOLCA Hospital in Guayaquil, as follows: GROWTH = (0.613 + 0.136 * In (DAYS)) ^2. It is suggested to use other mathematical models based on the one carried out in this project, for breast cancer in advanced stages, with a larger sample, in order to establish the possibility of detection of metastasis and compare results.