A PDE Model Describing Immune Cells-Tumor Growth Interactions

Explore a 57-minute lecture on a mathematical model describing immune cells-tumor growth interactions, presented by Thierry Goudon from Université Côte d'Azur at Institut Henri Poincaré. Delve into a system of partial differential equations structured in size and space, modeling the early stages of effector immune cells and tumor cells interactions. Examine how the model demonstrates potential tumor growth control by immune response, resulting in asymptotic states with residual tumors and activated immune cells. Investigate the equilibrium state interpretation using an eigenvalue problem coupled with a constrained drift-diffusion equation, and its applications in numerical approaches. Consider the model's extension to include protumor effects of immune response, potentially leading to uncontrolled tumor growth. Gain insights into how this modeling approach can guide the development of combined immunotherapy strategies.