Math Biology Seminar: Hildur Knutsdottir

The interactions of cancer cell with the environment play an important role in cancer cells migration and the formation of secondary tumors. In this talk, I will present a discrete model, motivated by these cancer cell interactions, to gain further insights into cancer cells aggregate conditions and how chemotaxis (migration up a chemical gradient) alters the cells' behaviour. I will show how the equivalent continuum model is derived and compare the resulting parameters to the original model. By deriving a continuum limit of the discrete model, analytical tools can be used to study the model dynamics and the parameter sensitivity. Finally, since the analysis of my seemingly simple model quickly gets complicated, I will solve the system numerically to demonstrate the rich dynamical properties of the model.