In the following, we use a mathematical approach to investigate the complex dynamics between the \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\hbox {CD8}^{+}$$\end{document}CD8+ T cells and M1 and M2 macrophages in the tumour microenvironment, with the overall aim of proposing new hypotheses regarding the mechanisms that could improve the anti-tumour effect of oncolytic viruses. The gene discussed is CD8A; the disease is neoplasm.