Abstract

MESA-ZORA, Jesús A.; CAMARGO-AMADO, Rubén J.  and  BARRADAS, Ignacio. Mathematical model for the competitive interaction between cancer cells and the immune system with cancer therapy. Ing. compet. [online]. 2022, vol.24, n.2, e22311721.  Epub May 26, 2022. ISSN 0123-3033.  https://doi.org/10.25100/iyc.v24i2.11721.

A simple mathematical model is presented that consists of a system of two ordinary differential equations (ODEs), applicable to the interaction between cancer cells, the immune system and a photodynamic therapy based on the previous observations of the Physicochemical Research Group of Bio and Nanomaterials of the Universidad del Valle (Basante et al., 2016, Basante, 2017) where an exponential effect is assumed. The consequences of the treatment are analyzed based on the stability analysis of the dynamic system, finding that it is possible to find adequate conditions for the elimination of cancer.

Keywords : cancer; dynamic system; immune system; photodynamic therapy; stability.

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