Study of Modern Control Methodologies Applied to Tumor Growth under Angiogenic Inhibition

Cancer treatment is one of the most important research fields of modern medicine. In the last decades, targeted molecular therapies showed pr osperous results. These treatments achieve tumor regression with limited side-effects. Mathem atical models were posed which describe the dynamics of tumor regression under the applied control. The current paper investigates antiangiogenic therapy, which inhibits the t umor to grow its own endothelial capillaries and thus inhibits tumor to grow over a certain si ze. Many different control approaches were elaborated and published since the model formulation w as posed. The aim of this paper is to give an overview of these methods and results, and to rev iew the work carried out by the authors