Author(s)

Elnaz Keikhosoro Kiani, Ali Vahidian Kamyad, Hedayatollah Shirzad

Department of Electrical Engineering, Islamic Azad University, Esfahan, Iran.
Department of Mathematical Sciences, Ferdowsi University, Mashhad, Iran.
Department of Microbiology & Immunology, Shahrekord University of Medical Sciences, Shahrekord, Iran.

Tumor cells can evade immune surveillance by secreting immuno-suppressive factors such as transforming growth factor-beta (TGF-β) and also, Interlukin-10 (IL-10). In this paper the optimal control of mathematical model for aggressive tumor growth via a new and proper approach known as AVK method has been considered. Moreover, we have implemented a special treatment so-called small interfering RNA (siRNA) to reduce presence and effect of TGF-β in tumor cells and also we have added Interlukin-2 (IL-2) into our treatment model to minimize the population of tumor cells. Further research and experimentation with these combination therapies may provide an effective solution in addressing the immuno-suppressive effects of TGF-β. Finally, we analyze the optimal control and system optimality of these equations using numerical techniques.

Aggressive Tumor; Immunotherapy; Optimal Control; AVK Method

E. Kiani, A. Kamyad and H. Shirzad, "Optimal Immunotherapy Control of Aggressive Tumors Growth," Intelligent Control and Automation, Vol. 3 No. 2, 2012, pp. 168-175. doi: 10.4236/ica.2012.32019.