Model-based angiogenic inhibition of tumor growth using modern robust control method.
Cancer is one of the most destructive and lethal illnesses of the modern civilization. In the last decades, clinical cancer research shifted toward molecular targeted therapies which have limited side effects in comparison to conventional chemotherapy and radiation therapy. Antiangiogenic therapy is one of the most promising cancer treatment methods. The dynamical model for tumor growth under angiogenic stimulator/inhibitor control was posed by Hahnfeldt et al. in 1999; it was investigated and partly modified many times. In this paper, a modified version of the originally published model is used to describe a continuous infusion therapy. In order to generalize individualized therapies a robust control method is proposed using H(∞) methodology. Uncertainty weighting functions are determined based on the real pathophysiological case and simulations are performed on different tumor volumes to demonstrate the robustness of the proposed method.
John von Neumann Faculty of Informatics, Óbuda University, Budapest, Hungary. Electronic address: kovacs.levente@nik.uni-obuda.hu.
Levente
L
Kovács
Department of Control Engineering and Information Technology, Budapest University of Technology and Economics, Budapest, Hungary.
Annamária
A
Szeles
John von Neumann Faculty of Informatics, Óbuda University, Budapest, Hungary.
Johanna
J
Sápi
Department of Control Engineering and Information Technology, Budapest University of Technology and Economics, Budapest, Hungary.
Dániel A
DA
Drexler
John von Neumann Faculty of Informatics, Óbuda University, Budapest, Hungary.
Imre
I
Rudas
Department of Control Engineering and Information Technology, Budapest University of Technology and Economics, Budapest, Hungary.
István
I
Harmati
1st Department of Pathology and Experimental Cancer Research, Semmelweis University, Budapest, Hungary.
Zoltán
Z
Sápi
D000465:Algorithms; D020533:Angiogenesis Inhibitors / Q000737:chemistry*; D000818:Animals; D003198:Computer Simulation; D006801:Humans; D051379:Mice; D008962:Models, Theoretical; D009368:Neoplasm Transplantation; D009369:Neoplasms / Q000188:drug therapy*; D009389:Neovascularization, Pathologic / Q000188:drug therapy*; D012984:Software
D020533:Angiogenesis Inhibitors
Antiangiogenic therapy; H(∞) method; Robust control; Uncertainty