Analysis of Oncolytic Virotherapy Model with the Natural Killer Cells
In this paper,a tumor-virus interaction model that contains the immune response of the natural killer cells(NK cells)was established.Firstly,the boundary behavior of the system was analyzed,the equilibria of the system were completely classified,the local stability of the equilibria were discussed,and the existence of periodic solution was verified numerically.Finally,the role of NK cells on oncolytic virotherapy was examined.The numerical simulation results are as follows.a)The whole tumor population is inversely proportional to the viral infection rate,proportional to the tumor growth rate.b)For the parameters related to NK cells,the larger the inflow rate of NK cells from lymph nodes,the smaller the final tumor;if the proliferation of NK cells is produced,the tumor will eventually become larger compared with no NK proliferation when the proliferation rate is relatively small,which implies that small proliferation rate of NK cells has a negative effect on treatment.However,the tumor and oncolytic viruses will be completely eliminated when the proliferation rate of NK cells is too high.
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