Optimal Immunotherapy Control of Aggressive Tumors Growth
- 1 Department of Electrical Engineering, Islamic Azad University, Esfahan, Iran
- 2 Department of Mathematical Sciences, Ferdowsi University, Mashhad, Iran
- 3 Department of Microbiology & Immunology, Shahrekord University of Medical Sciences, Shahrekord, Iran
Abstract
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.
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