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Fractional-order mathematical modelling of cancer cells-cancer stem cells-immune system interaction with chemotherapy
ISSN: 2791 - 8564
Publisher: author
Fractional-order mathematical modelling of cancer cells-cancer stem cells-immune system interaction with chemotherapy
Indexed in
Mathematics and Statistics
ARTICLE-FACTOR
1.3
Article Basics Score: 2
Article Transparency Score: 3
Article Operation Score: 2
Article Articles Score: 2
Article Accessibility Score: 3
SUBMIT PAPER ASK QUESTION
International Category Code (ICC):
ICC-1102
Publisher: Mehmet Yavuz
International Journal Address (IAA):
IAA.ZONE/2791123858564
eISSN
:
2791 - 8564
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Abstract
In this paper, we present a mathematical model of stem cells and chemotherapy for cancer treatment, in which the model is represented by fractional-order differential equations. Local stability of equilibrium points is discussed. Then, the existence and uniqueness of the solution are studied. In addition, in order to point out the advantages of the fractional-order modeling, memory trace and hereditary traits are taken into consideration. Numerical simulations have been used to investigate how the fractional-order derivative and different parameters affect the population dynamics, the graphs have been illustrated according to different values of fractional order $\alpha$ and different parameter values. Moreover, we have examined the effect of chemotherapy on tumor cells and stem cells over time. Furthermore, we concluded that the memory effect occurs as the $\alpha$ decreases from 1 and the chemotherapy drug is quite effective on the ...
