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A mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapy

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dc.contributor.author Bozkurt, Fatma
dc.contributor.author Yousef, Ali
dc.contributor.author Bilgil, Halis
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-11-22T11:55:27Z
dc.date.available 2023-11-22T11:55:27Z
dc.date.issued 2023-03
dc.identifier.citation Bozkurt, Fatma...et al. (2023). "A mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapy", Chaos Solitons & Fractals, Vol.168. tr_TR
dc.identifier.issn 0960-0779
dc.identifier.uri http://hdl.handle.net/20.500.12416/6567
dc.description.abstract We propose a new mathematical model with piecewise constant arguments of a system of ODEs to investigate the growth of colorectal cancer and its response to chemo-immunotherapy. Our main target in this paper is to analyze and represent the I.S.'s (immune system) efficiency during the chemotherapeutic process. Therefore, we proved and illustrated the necessity of IL-2 that supports the immune system, especially in early-detected cases of tumor density. Thus, the constructed model has been divided into sub-systems: the cell populations, the effects of the medications doxorubicin, and IL-2 concentration.Firstly, we analyze the stability of the equilibrium points (disease-free and co-existing) using the RouthHurwitz criteria. In addition, our study has shown that the system undergoes period-doubling, stationary and Neimark-Sacker bifurcations based on specific conditions. In the end, we illustrate some simulations to assist the theory of the manuscript. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.chaos.2023.113207 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Stability tr_TR
dc.subject Period-Doubling tr_TR
dc.subject Stationary And Neimark tr_TR
dc.subject Sacker Bifurcations tr_TR
dc.subject Colorectal Cancer tr_TR
dc.subject Piecewise Constant Arguments tr_TR
dc.title A mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapy tr_TR
dc.type article tr_TR
dc.relation.journal Chaos Solitons & Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 168 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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