Tumor Growth: Modeling, Analysis and Optimal Control (October 2022)

Lecture by Dr. Mostafa Kadiri

The Department of Mathematics and Statistics of the College of Arts and Sciences invites you to attend a seminar to be conducted by Dr. Mostafa Kadiri, Research Associate from the Department of Mathematics at Texas A&M Qatar.

Abstract:

Mathematical and computational modeling in biomedicine play an undoubtedly crucial role in the understanding of biological processes, such as tumor growth. Nowadays, mathematical models play the role of theoretical labs by modeling, describing, and forecasting accurately the state of an evolving interactive complex biological system. Particularly, in mathematical oncology, they provide important a priori insights into the evolution of a tumor, and assist physicists and practitioners in the decision-making process regarding the strategy to adopt, such as chemotherapy, radiotherapy etc.

In this talk, I will present a Cahn-Hilliard-based model for tumor growth. I will sketch the proof of global existence of solutions and their continuous dependence on the initial data and the physical parameters, such as the tumor phase viscosity, the chemotaxis and active transport coefficient, and the chemical mobility, and therefore their uniqueness. Eventually, I will develop an optimal control strategy leading to the system’s physical parameters recovery: a step forward towards the ultimate goal of personalization of tumor growth models.

For further details kindly contact Dr. Cristian Enache at [email protected] .