A stochastic mathematical model of avascular tumor growth patterns and its treatment by means of noises

Abstract

Due to the rate increase in cancer incidence, many researchers in different fields have been conducting studies on cancer-related phenomena. Most studies are conducted to focus on cellular and molecular aspects of cancerous diseases and treatment strategies. Physicists have been using mathematical modeling and simulation to explain the growth pattern of tumors. Although most published studies in this area still have not gained the needed maturity for “treating cancer”, research has helped with the statistical laws of growth, predation and proliferation of cancer cells. In this review, a brief explanation of mathematical models for tumor growth is presented, followed by a discussion on treatment simulations, introducing white noise as one of the clinical remedies in the original model.