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Journals / Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 27 Sayı: 1

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

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

Mehmet Yavuz(NECMETTIN ERBAKAN UNIVERSITY, FACULTY OF SCIENCE)0000-0002-3966-6518
Feyza Nur Özdemir(NECMETTIN ERBAKAN UNIVERSITY)0000-0001-7803-7725
Kübra Akyüz(NECMETTIN ERBAKAN UNIVERSITY, FACULTY OF SCIENCE)0009-0006-6642-1117
Naime Büşra Bayraktar(NECMETTIN ERBAKAN UNIVERSITY, FACULTY OF SCIENCE)0000-0001-7584-437X
Pages
126–144
Publication Date
2025-01-20
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Numerical results are obtained to observe the intercellular course of colon cancer and biological interpretations are also included.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a new fractional-order differential equation system is developed for colon cancer to address the detailed analysis.
📊
Key Findings & Data:In the model, the interaction between tumor cells, macrophage cells, dendritic cells and CD4+ T helper cells is established using Michaelis-Menten kinetics.
💡
Conclusion & Impact:Numerical results are obtained to observe the intercellular course of colon cancer and biological interpretations are also included.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Kesirli dereceli matematiksel model · Kolon kanseri · Kolorektal kanser

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.

Özet

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.

🔖

Cite This Article

Yavuz, M., Özdemir, F. N., Akyüz, K., Bayraktar, N. B. (2025). The relationship between colon cancer and immune system: a fractional order modelling approach. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 27 Sayı: 1, 126–144. https://doi.org/10.25092/baunfbed.1498218

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