Open AccessMathematical model of optimal chemotherapy and oncolytic virotherapy
Author(s) -
Elham Shamsara,
Habibollah Esmaily,
Abbas Bahrampour
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2015195s
Subject(s) - oncolytic virus , optimal control , pontryagin's minimum principle , virotherapy , lag , mathematics , chemotherapy , transmission (telecommunications) , control theory (sociology) , mathematical optimization , medicine , control (management) , computer science , tumor cells , cancer research , surgery , telecommunications , artificial intelligence , computer network
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 ?1 and ?2. The time delay ?1 shows the lag of transmission of infection from 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 ?2 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.