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Mathematical predictions for brain tumor response to novel therapies validated by in vivo and in vitro experiments

Banff International Research Station for Mathematical Innovation and Discovery

Glioblastoma (GBM) is the most frequent and lethal malignant brain tumor in adults due to its invasive capability and resistance to conventional therapies. GBM typically shows an heterogenous microenviron- ment including necrotic and hypoxic areas, abnormal vasculature and different tumor cell phenotypes. We will focus on mathematical models based on PDE that try to reproduce this complex system in order to understand it and better predict the tumor behaviour [1, 2]. In addition, we will discuss in-silico simu- lations based on a mathematical model for brain tumor response to the combination of antithrombotic, antioxidants and radiation therapies [3]. Our mathematical results predict a synergistic decrease in tumor volume when both, cytotoxic therapies and antioxidants were applied. In vitro and in vivo results have confirmed this benefit not only in terms of tumor reduction but also in terms of toxicity reduction. Combined mathematical simulations and on-chip validation of malignant cellular structures formation in GBM have confirmed their usability to better understand the tumor behaviour [4, 5]. Considering the promising results, a clinical trial is being designed.

Mathematics; Partial differential equations; Biology and other natural sciences; Mathematical biology

video/mp4

Author affiliation: Universidad de Castilla-La Mancha

2019-05-26

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/70331

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/