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20. A study on lung cancer using nabla discrete fractional-order model

Author

Amilo David, Kaymakamzade Bilgen, and Hınçal Evren

Subjects
mathematical modeling, discrete fractional-order, nable difference operator, lung cancer, Mathematics, QA1-939
Abstract

This study proposes a nabla discrete fractional-order system of differential equations to model lung cancer and its interactions with lung epithelial cells, mutated cells, oncogenes, tumor suppressor genes, immune cells, cytokines, growth factors, angiogenic factors, and extracellular matrix. The proposed model can help predict cancer growth, metastasis, and response to treatment. Analytical results show the system is stable with a unique solution, and the model predicts that the immune system responds to cancer cells but eventually becomes overpowered. The numerical analysis employed the forward and backward Euler method and demonstrated that changes in parameter values have significant effects on the steady-state solution. The findings show that the growth of lung epithelial cells or their interaction with immune cells can cause an increase in the number of lung cancer cells. Conversely, an increase in cell death or a reduction in the interaction between lung epithelial cells and immune cells can decrease the number of lung cancer cells. The study highlights the usefulness of the nabla discrete fractional model in studying lung cancer dynamics.

Published
2023
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30. Trends and Risk of HIV/AIDS in Turkey and Its Cities

Author

Hincal, Evren, Sayan, Murat, Kaymakamzade, Bilgen, Şanlidağ, Tamer, Sa’ad, Farouk Tijjani, Baba, Isa Abdullahi, Ashyralyev, Allaberen, editor, Kalmenov, Tynysbek Sh., editor, Ruzhansky, Michael V., editor, Sadybekov, Makhmud A., editor, and Suragan, Durvudkhan, editor

Published
2021
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36. Dynamics and Control of HIV/AIDS in Cyprus Using Real Data

Author

Hincal, Evren, Sanlidag, Tamer, Saad, Farouk Tijjani, Suer, Kaya, Baba, Isa Abdullahi, Sayan, Murat, Kaymakamzade, Bilgen, Sultanoglu, Nazife, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, Aliev, Rafik A., editor, Pedrycz, Witold, editor, Jamshidi, Mo., editor, and Sadikoglu, Fahreddin M., editor

Published
2019
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37. Global Stability Analysis of HIV+ Model

Author

Saad, Farouk Tijjani, Sanlidag, Tamer, Hincal, Evren, Sayan, Murat, Baba, Isa Abdullahi, Kaymakamzade, Bilgen, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, Aliev, Rafik A., editor, Pedrycz, Witold, editor, Jamshidi, Mo., editor, and Sadikoglu, Fahreddin M., editor

Published
2019
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