Mathematics and radiotherapy of tumors

• Main Author: Luciano Corso
• Format: Article
• Language: English
• Published: Accademia Piceno Aprutina dei Velati 2019-06-01
• Series: Ratio Mathematica
• Subjects: population; cells; tumor; carrying capacity; differential equation
• Online Access: http://eiris.it/ojs/index.php/ratiomathematica/article/view/471

The present work takes inspiration from the scientific degree plan of the Italian Ministry of Education and has a didactic and cultural character. It pursues three objectives: the first is to make young peo-ple understand the importance of mathematics in medicine; the second is to stimulate students to use mathematical tools to give rational answers in the therapeutic field, in particular in the treatment of some types of nodular tumors; the third is to inform people on the effectiveness of mathematical methods and their indispensability in the rigorous treatment of some human pathologies.Using the experimental data about the development of a tumor, we move on to the analysis of the mathematical models able to allow a rational control of its behavior. The method we used in the develop-ment of this therapeutic process is essentially deterministic, even if some passages implicitly have a probabilistic nature.