Analisis Kestabilan Global Model Matematika Pengaruh Kemoterapi dan Terapi Gen serta Penambahan Antibodi Monoklonal pada Pengobatan Kanker

Cancer or malignant tumor is a disease with a high percentage of death caused by uncontrolled growth of tumor cells. In this research, tumor cell growth was modeled in order to know the effect of the existence of a combination of chemotherapy, gene therapy, and monoklonal antibodi to the dynamics of tumor cell growth. The mathematical model reviewed is the development of the Kirshner-Panetta model involving the effects of chemotherapy, gene therapy, and monoclonal antibodies. The numerical simulation shows that there is only one equilibrium solution, a stable asymptotic global tumor-free equilibrium solution. It???s means that for a high rate of tumor clearance, cancer patients with any number of tumor cells will disappear from the body of cancer patients in the span of more than five hours since the combination of treatment was performed. The next simulation shows that there is only one equilibrium solution, a stable asymptotic global tumor-free equilibrium solution, which means that for a lower tumor clearance rate than in the first simulation, cancer patients with any number of tumor cells will disappear from the body of cancer patients in the span of more than two hours since the combination of treatment was performed