Special Session 51: Phase field models and real world applications

Optimal control of a tumor growth model with brain lactate kinetics

Laurence Cherfils
La Rochelle University
France
Co-Author(s):    S. Gatti, A. Miranville, H. Raad
Abstract:
I will give in this talk a mathematical model for high grade glioma, taking into account brain lactate kinetics and chemotherapy treatments. I will discuss the well-posedness of solutions, as well as the existence of an optimal treatment for reducing the tumor and lactate concentrations, up to desired targets. I will end with numerical simulations based on different therapeutic situations that can be found in the literature.