turkmath.org

Cancer modeling is one of the most exciting modern applications of mathematics. In this talk, after a general investigation of cancer models, a multiscale model focusing on the influence of the cell contractivity will be presented. The model takes into account both the subcellular level, where the biochemical events take place leading to changes in the cell’s ability to contract and modify its shape, and the macroscopic level of the cell population. Furthermore the local existence of a unique solution in a general framework is provided and the numerical simulations are performed in order to illustrate the effect of introducing the microscopic dynamics and the effect of contractivity on the migration of cancer cells.