Analytical Solutions to the Mathematical Models on the Effect of Drug-Inhibited on Tumor Growth

Abstract

The treatment of cancer by Chemotherapy has become a new focus in cancer research and treatment in Cancerous cases, Natural killer, CD8⁺ and Cytotoxic lymphocytes alone cannot effectively kill cancer cells and thus the need for chemotherapy administration in this study, we propose analytical solutions to the modified Jackson, T. L. (2002), model that included chemotherapy but particularly chemotherapy on vascular tumor growth. We applied Duhamel principle and carried out couple of analysis on the solutions of the modeled equations for various treatments using the therapy. The results from the analysis portend good revelations on cancer cell management and control using chemotherapy.

Keywords:Tomur, malignant, chemotherapy, Duhamel, Apoptosis, Angiogenesis, Vasculature, Carcinogenesis, Perturbation