Numerical Solution Of The Mathematical Modelling Of Tumor Growth During The Process Of Angiogenesis

The study focuses on mathematical modelling of tumor progress during angiogenesis process. It is the stage through which the tumor changes from being avascular to vascular. Nonlinear partial differential equations are used to describe the interactions between endothelial cells, fibronectin and tumor angiogenetic factors in the development of new blood vessels. The model aim to explain the spatial distribution of endothelial cells through diffusion, proliferation, chemotaxis, haptotaxis, and cell loss due to decay. The continuous equations obtained are solved using the Finite Difference method