Research Methodology (Volume - 3)

This book explores the mathematical modeling and numerical simulation of tumor growth, focusing on the development of avascular tumors. The proposed model integrates oxygen and nutrient concentration dynamics with cell movement and contact inhibition effects. The study employs a reaction-diffusion approach to model the proliferation, quiescence, and necrosis of tumor cells, solving the system of equations using finite difference methods and MATLAB simulations. This comprehensive analysis offers valuable insights into tumor microenvironments and aims to enhance decision support systems for personalized cancer treatment, supporting oncologists in understanding the complexities of tumor progression.