Simulation of Malignant Tumor Growth through a Macroscopic Approach Model

Abstract

A tumor refers to an abnormal cell cluster resulting from uncontrolled cell division, manifesting as growths within bodily organs and exhibiting rapid proliferation. Tumors are categorized into benign and malignant types, influenced by various factors such as viral infections, chemical exposure, and genetic predisposition. Mathematical modeling of tumor growth often involves differential equations. This study represents tumors as spatial regions in R2 with free boundaries, utilizing the Hele-Shaw model from fluid dynamics. Malignant tumor cell progression is simulated mathematically, employing a macroscopic model to ascertain cell characteristics and growth stages. Additionally, the discussion highlights the limitation of the traveling wave solution in describing tumor development solely as an incompressible fluid, leading to the adoption of the Hele-Shaw model in this research.