Cellular Immune Dynamics Under The Cancer Inuence:Proposal of a Mathematical Model of Anti-Neoplastic Chemotherapy

. Carcinogenesis is a formation process that causes modi(cid:28)cation in some genes through mutation of cells in the body. This process can be slow or happen quickly and aggressively, depending on individualizing peculiarities that can facilitate or inhibit tumor evolution. This pathology does not have speci(cid:28)c causes and its study still generates many questions about the causative factors and the cellular interaction that allows such cellular proliferation of the disease. Based on this, this investigation seeks to understand the immune cell dynamics in the presence of tumor populations. To this end, we propose equations that aim to describe the behavior of speci(cid:28)c cells and the production of cytokines, which are key elements acting in innate and adaptive immunity, contributing or hindering the spread of the pathogen in question. We also aim to understand and simulate the action of a speci(cid:28)c drug, doxorubicin, applied in cycles, as an inhibitory agent in patients.