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A Fractional-Order Modeling and Sensitivity Analysis in the Investigation of Colorectal Cancer |
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PP: 431-449 |
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doi:10.18576/pfda/100309
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Author(s) |
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David Amilo,
Bilge Kaymakamzade,
Evren Hincal,
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Abstract |
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| This research paper focuses on studying colorectal cancer using a sensitivity analysis via the fractional differential equations (FDE) model. The study aims to develop an accurate model for predicting the progression of the disease and its response to treatments, by capturing all the important cells and factors involved. The existence and uniqueness of solutions are proven using the Banach contraction principle, and global stability is shown using the Lyapunov function. Results show that the Epithelial cell growth rate (λE), rate of out-competition of epithelial cells by normal cells (δEO), rate of immune cell attack on epithelial cells (γEIC) and TGF-β -induced growth rate of epithelial cells (γT E ) are the most sensitive parameters, with the concentration of adenomatous polyps (P(t)), tumor suppressor genes (T(t)), epithelial cells (E(t)) and APC genes (A(t)) as most sensitive compartments. The research concludes that the developed model can be used as a powerful tool for predicting the disease’s behavior and assessing the efficacy of different treatment strategies. Overall, this study provides valuable insights into the treatment of colorectal cancer.
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