The relationship between colon cancer and immune system: a fractional order modelling approach

Authors : Mehmet Yavuz, Feyza Nur Özdemir, Kübra Akyüz, Naime Büşra Bayraktar

Pages : 126-144

Doi:10.25092/baunfbed.1498218

View : 53 | Download : 58

Publication Date : 2025-01-20

Article Type : Research Paper

Abstract :In this paper, a new fractional-order differential equation system is developed for colon cancer to address the detailed analysis. In the model, the interaction between tumor cells, macrophage cells, dendritic cells and CD4+ T helper cells is established using Michaelis-Menten kinetics. In addition, mathematical analyses such as positivity and boundedness are also carried out. Numerical results are obtained to observe the intercellular course of colon cancer and biological interpretations are also included.
Keywords : Kesirli dereceli matematiksel model, Kolon kanseri, Kolorektal kanser, Sayısal simülasyon, Michaelis-Menten kinetiği