A Mathematical Model for the Effect of Obesity on Cancer Growth Under the Treatment of Chemotherapy

Obesity is a burning health problem in the modern world. Bad food habits, lack of exercises, genetics and for some other reasons caused to weight gain in human body. Obesity causes to so many health diseases among them cancer is a prominent disease. Mainly we need to study how obesity effects on a cancer. In this research we modified a mathematical model by using Nonlinear Ordinary Differential Equations. We found equilibrium points of the subsystem and there we calculate threshold levels for the Bistability patterns how we can cure cancer completely or control the disease. After studying the subsystem, we considered the equilibrium points of the full system. By using some real valued data, we conduct a Numerical Analysis for the constructed model. Then we conduct a Stability Analysis and there we study what are the most affecting equilibriums for controlling tumor for treatments. Inverse carrying capacity of fat plays a critical role in controlling cancer. Then we conduct a Bifurcation analysis for inverse carrying capacity of fat and study how tumour level fluctuates. There we observed some important results, that is when fat level decreases, we can remove cancer completely and higher fat levels can hinder the chemotherapy drugs. These results are very important in Biomedical Engineering.