Why is evolution important in cancer and what mathematics should be used to treat cancer?
Jean Clairambault, MAMBA team, INRIA Paris Research Centre & Jacques-Louis Lions Lab, UPMC, Paris
In this talk, I will sum up works and results obtained in the past four years in our team, showing how the clinical question of drug resistance in cancer, our initial motivation to study continuous models of adaptive dynamics, leads naturally and more generally to consider the cancer disease itself from an evolutionary biology viewpoint, without which even apparently well-targeted therapies most often fail. Among the challenging questions to mathematicians who tackle the task of understanding this disease and optimising its treatment are the representation of phenotypic heterogeneity of cancer cell populations and of their plasticity in response to anticancer drug insults. I will show how these representations can partly be taken into account in using optimal control methods, with the aim to implement them in the therapeutics of cancer.