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Paper   IPM / M / 15948
School of Mathematics
  Title:   Mathematical model of optimal chemotherapy and oncolytic virotherapy
  Author(s):  Elham Shamsara (Joint with H. Esmaily and A. Bahmanpour)
  Status:   To Appear
  Journal: Filomat
  Supported by:  IPM
In this paper, a mathematical model of fighting against cancer tumor growth by a combination of oncolytic virotherapy and chemotherapy is introduced. In this model, we considered two-time delays τ1 and τ2. The time delay τ1 shows the lag of transmission of infection from the oncolytic virus to tumor cells. A lot of kind of cancers, symptoms are diagnosed at a late stage and as a consequence, the chemotherapy approach start with a lag. Thus, we take this delay into account by presenting the time delay τ2 in the control variable. Therefore, in this study, delay parameters are used for both state and control variables. The Pontryagin minimum principle with delays in both state and control is used to obtain an optimal model for the treatment to minimize the side effect as well as the cost of the treatment.

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