Mathematical Modeling and Growth Model Analysis for Preventing the Cancer Cell Development

Abstract

Cancer, one of the leading causes of morbidity across the globe, accounts for more than ten million deaths in 2020. The tremendous effort employed by the scientific community improves the efficiency of chemotherapy treatments, while the work in preventing cancer is comparably limited. This study attempts to mathematically model the cancer cell growth. Cancer was chemically induced to Naval Medical Research Institute inbred mice utilizing a fully carcinogenic agent. Specific organic compounds from the polyamine and thiol families were mixed with the agent to observe if the former can cease or delay the oncogenesis incidence by neutralizing the carcinogenic agent. As a result, a series of records containing the tumor size and the corresponding examination date was accumulated. A plethora of complex mathematical functions was recruited to evaluate the constructed curve in terms of the best fit to the series of data points. The developed models were explored based on their ability to predict future values, while the importance of the model parameters was exploited in a devised classification problem. The results presented herein are encouraging and can potentially expand the scope of this research into other research areas such as the development of effective nutritional supplements able to inhibit carcinogenesis,