DYNAMICS OF ANTITUMOR IMMUNE RESPONSES-A STUDY BASED ON MATHEMATICAL MODELLING

Abstract

This work focuses on the interaction between tumor and immune components, namely, immature and mature lymphocytes, using mathematical modelling as a tool. The model is kept simple but realistic, which is able to capture the dynamics, like , unlimited expansion of tumor, stable endemic equilibrium , periodic oscillation and tumor free equilibrium, as the quantity of mature immune cells are increased .Stability analysis of the system is performed and numerical results agree with the theoretical analysis.