Tumor Treatments Using Certain Drug Therapies: Mathematical Modelling

Abstract

In this paper, we construct a mathematical model describing immune response to the growth of breast cancer cells and investigate the impact of immunotherapy, chemotherapy and biochemotherapy treatments. We present a model using coupled ordinary differential equations and are also describing the effect of tumor infiltrating lymphocytes (TIL), Interleukin-2 (IL-2) & Interferon alpha (INF- ) on dynamics of tumor cells under the influence of immunotherapy, chemotherapy & biochemotherapy. A new & promising treatment option biochemotherapy has the potential to help reduce the deaths caused by breast cancer. This model is used to evaluate the effects of pulsed application of the drugs. Numerical simulation for some cases show that efficiency of these therapies depends on both variation of tumor size & variation of parameters among two patients. The biochemotherapy more effective than other therapies.

Keywords: Immunotherapy, Chemotherapy, Biochemotherapy, Tumor Infg lymphocytes (TIL), Interleukin-2 (IL-2) Interferon-alpha (INF- ).