NUMERICAL ANALYSIS OF MATHEMATICAL MODELLING OF TUMOUR GROWTH WITH IMMUNOTHERAPY, CHEMOTHERAPY AND IMMUNOTHERAPY-CHEMOTHERAPY

Abstract

It is known that a beneficial tumour-treatment approach for a single patient often involves the administration of more than one type of therapy. The question of how best to combine multiple tumour therapies is still open. In this research, we investigate the theoretical interaction of three treatment types (two biological therapies and chemotherapy). We analyse a mathematical model, in the form of a system of ordinary differential equations (ODEs), governing tumour growth on a cell-population level with combination immunotherapy and chemotherapy. We present an ordinary differential equations model to look at overall cell populations. Numerical simulation immunesequence and human parameter are presented. We study and compare between result of numerical simulations immunotherapyalone, chemotherapy alone andimmunotherapy-chemotherapy sequence treatments. The success of every treatment depends on the initial of tumour cells population. With the same population oftumour cells, our study shows that immunotherapy-chemotherapy sequence is more effective than immunotherapy alone or chemotherapy alone.