MATHEMATICAL MODELS FOR CANCER TREATMENT WITH CHEMOTHERAPY AND ONCOLYTIC VIROTHERAPY

• Main Author: Hilman Maulana, Muhammad
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/64990
• Institution: Institut Teknologi Bandung

Cancer is one of fatal disease and causes death. Cancer treatment can be done through several methods, such as chemotherapy and virotherapy. Chemotherapy is a cancer therapy by using medicines or chemicals to kill cancer cells. Virotherapy uses oncolytic viruses to kill cancer cells. In this study, a mathematical model was developed for the dynamics of chemotherapy treatment and oncolytic virotherapy. We analyze the mathematics model, which includes equilibrium points, stability criteria, phase portrait analysis, and numerical simulation. Mathematical model for chemotherapy is based on the interaction of two phases in the cell cycle, that is proliferating phase and quiescent phase. Chemotherapy can attack cells in the cell cycle, both normal cells and cancer cells, in the proliferating phase. The numerical simulation results show that the existence of chemotherapy can reduce the number of cells in both proliferating phase and quiescent phase. Cells in the proliferating phase are the main focus, we find a threshold so that the existence of cells in the proliferating phase can be maintained. A function is expressed as chemotherapy performance to see the phenomenon of the patients. Oncolytic virotherapy treatment is constructed as a non-linear differential equation with three variables, which are cancer cells, infected cancer cells, and free virus. Viruses infect cancer cells to replicate then a lysis process will occur where the viruses break down the cancer cell membrane. Viruses that are injected into the patient's body are known as foreign objects so that they can trigger the immune system. The numerical simulation results show that the higher rate of virus production and infection, the more cancer cells will be.