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B. Joshi, X. Wang, S. Banerjee, H. Tian, A. Matzavinos and M. A. Chaplain, “On Immunotherapies and Cancer Vaccination Protocols: A Mathematical Modelling Approach,” Journal of Theoretical Biology, Vol. 259, No. 4, 2009, pp. 820-827

has been cited by the following article:

• TITLE: Optimal Immunotherapy Control of Aggressive Tumors Growth

  AUTHORS: Elnaz Keikhosoro Kiani, Ali Vahidian Kamyad, Hedayatollah Shirzad

  KEYWORDS: Aggressive Tumor; Immunotherapy; Optimal Control; AVK Method

  JOURNAL NAME: Intelligent Control and Automation, Vol.3 No.2, May 23, 2012

  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.