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A mathematical model and analysis of the anti-angiogenic and tumor immunotherapy

This paper considers a model of tumor growth and treatment with anti-angiogenesis therapy and immunotherapy. A model consisting of five ordinary differential equations to simulate the interactions between normal cells, cancer cells, endothelial cells, immune cells and anti-angiogenic agent in tumor growth is developed. This paper also studies the effect of anti-angiogenesis therapy, immunotherapy and a combination of both therapies. Through the analysis and numerical simulation of the model, it is shown that only anti-angiogenesis therapy could not completely eliminate the tumor cells; Immunotherapy can eradicate tumor cells. The results also show that the model combined with tumor anti-angiogenesis therapy can achieve better therapeutic effect. The proportion of the overall drug used has decreased by about 17.5% through numerical simulation.