Tumor Growth Dynamics Under Chemotherapy Treatment, a Mathematical Analysis With Periodic Drug Concentration.
- Duver Dayan Madroñero ,
- Cristian Camilo Espitia Morillo
, - Beatriz Laiate
Abstract
In general, tumor growth in human body is often controlled through chemotherapy treatment. This research aims to mathematically interpret the dynamics between tumor cells and normal cells considering treatment with chemotherapy administered periodically. To this end, a two-cell one-drug model is introduced via a nonlinear system of differential equations. In addition, the stability analysis of the model is provided, from which four different scenarios for the tumor dynamics are produced. Lastly, several numerical simulations are presented considering different intervals for the chemotherapy sessions.
Keywords
Mathematical Modeling, Non Linear Systems
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