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

Yıl 2025, Cilt: 27 Sayı: 1, 126 - 144

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

Öz

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.

Anahtar Kelimeler

Mathematical model of fractional-order, Colon cancer, Colorectal cancer, Numerical simulation, Michaelis-Menten kinetics

Kolon kanseri ve bağışıklık sistemi ilişkisi: kesirli mertebeden bir modelleme yaklaşımı

Öz

Bu çalışmada, kolon kanseri için detaylı analize yönelik yeni bir kesirli mertebeden diferansiyel denklem sistemi geliştirilmiştir. Modelde tümör hücreleri, makrofaj hücreleri, dendritik hücreler ve CD4+ T yardımcı hücreleri arasındaki etkileşim, Michaelis-Menten kinetiği kullanılarak oluşturulmuştur. Ayrıca pozitiflik ve sınırlılık gibi matematiksel analizler de yapılmaktadır. Kolon kanserinin hücreler arası seyrini gözlemlemeye yönelik sayısal sonuçlar elde edilmekte ve biyolojik yorumlara da yer verilmektedir.

Anahtar Kelimeler

Kesirli dereceli matematiksel model, Kolon kanseri, Kolorektal kanser, Sayısal simülasyon, Michaelis-Menten kinetiği

Destekleyen Kurum

This research was supported by Scientific and Technological Research Council of Türkiye (TÜBİTAK) under the undergraduate research project.

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