Study of Modern Control Methodologies Applied to Tumor Growth under

Abstract

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