Onkolitik Virüs ile Matematiksel Tümör Modeli

Abstract

<jats:p xml:lang="en">In this study, a four-dimensional model [29] that is given for interactions between nutrient, healthy cells, tumor cells, and oncolytic virus, is extended with a five-dimensional ordinary differential equations system. Infected tumor cells are included in the model since oncolytic virus infects tumor cells. In order to investigate the role of oncolytic virus in eradication of tumor burden, stability analysis has been performed in case of no tumor cells in the system. It is determined that the stability of the system in case of no tumor cells and healthy cells is related with the minimum virus dosage injected into the host. In case of no tumor cells, but healthy cells, the minimum dosage is smaller than the previous case for stability of the equilibrium point. Therefore, this study demonstrates that existence of healthy cells in the host increases the chance of eradication of tumor cells, and it leads to a decrease in virus dosage. Finally, some numerical results have been obtained for the stability analysis and numerical findings have been presented.</jats:p>