Incorporating Radiotherapy in Tumor Population Dynamics: A Mathematical Approach

Abstract

An evolving mathematical model is presented in this study to fully explain the complex dynamics of tumor population increase under radiation. In order to document the interplay between normal cells, cancer cells, and radiotherapy-impacted cells, the research makes use of a system of ODEs. Separate parts of the model for each population— for healthy cells,  for tumor cells, and  for cells impacted by radiation—allow for in-depth investigation of the changing dynamics as time progresses. Radiation therapy's effect on tumor growth can be modelled and studied using the complex system of differential equations controlling the dynamics of tumor, healthy, and treated cell populations. This method helps us better understand the intricate relationship between the tumor microenvironment and radiation, which in turn helps us improve our treatment plans. The results of this mathematical model show potential for improving our knowledge of how tumor population dynamics are altered by radiation therapy. In the long run, oncology could benefit from the application of such mathematical methods to cancer research, which could lead to better, more tailored treatment options.