Speaker
Description
Mathematical models of tumor growth are essential for complementing experimental findings and furthering the understanding of cancer development and spread, as well as optimizing therapy. This talk presents a novel age-structured partial differential equation (PDE) model. The underlying process for tumor growth is similar to classical models, where growth is driven by pressure-limited cell division, and Darcy's law, describing cell movement away from regions of high internal pressure. By introducing an age-structure, the model accounts for the life-cycle of tumor cells. This allows for more accurate medical predictions and optimal therapy design. This talk presents results on the existence of weak solutions of the model, convergence to an incompressible limit, and numerical simulations.
