Integral invariant manifold method applied to a mathematical model of osteosarcoma

Abstract

In this study, an asymptotic method called the method of integral invariant manifold (MIM) was applied to a mathematical model of Osteosarcoma cancer. The mathematical model describes the interactions of the immune system cells and the osteosarcoma tumor. These interactions are described by nonlinear ordinary differential equations. By applying the MIM method, two critical dynamic variables (Cancer cells and Necrotic cells) were identified, providing insights into the dynamics of osteosarcoma over time during treatment.