Development of Tumor Growth Process Model as a Control Object of a Biotechnical System

The work is devoted to the study of biological processes occurring in the body from the point of view of the control object. The kinetics of growth of two cell populations: immune and tumor cells is considered as an object of research. The study uses a mathematical model of a non-invasive tumor of de Pillis and Radunskaya. By analogy with technical systems, the equilibrium states of the system are studied and the phase portraits in their vicinity are analyzed. The main result of the study is a deeper understanding of the dynamics of the system of cellular interactions, which can contribute to improving the quality of medical care in the field of oncology.