Mathematical models of tumor growth and response to therapies


The purpose of this project was using mathematics to obtain results applicable to different branches of oncology. We developed mathematical models of tumor growth and response to treatment, and we collected imaging and clinical data from cancer patients. We used this data to feed the models and validate them, searching for optimal therapy schemes. We did so for the three pathologies under study, as well as for other problems. Ordinary and partial differential equations were combined with image processing, multiscale modeling, numerical and optimization methods.

Why Mathematics?

Mathematical models are used in Science and Engineering to create conceptual frameworks in order to understand Nature and provide solutions to real-world problems. Here we addressed different problems in the broad field of mathematical oncology, which aimed to lay the groundwork for further application studies.

The Team

The researchers that participated on this project are MOLAB members Alicia Martínez-González, Julián Pérez-Beteta, David Molina, Víctor M. Pérez-García (PI), and Araceli Henares.

Beyond this project

The methodological advances provided by this project have been used on the different application fields of interest of the MOLAB group. They have laid the foundations for the working methods used today at MOLAB.

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