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

dc.contributor.authorBozkurt, Fatma
dc.contributor.authorYousef, Ali
dc.contributor.authorBilgil, Halis
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2023-11-22T11:55:27Z
dc.date.available2023-11-22T11:55:27Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe 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.en_US
dc.description.publishedMonth3
dc.identifier.citationBozkurt, Fatma...et al. (2023). "A mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapy", Chaos Solitons & Fractals, Vol.168.en_US
dc.identifier.doi10.1016/j.chaos.2023.113207
dc.identifier.issn0960-0779
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6567
dc.identifier.volume168en_US
dc.language.isoenen_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectStabilityen_US
dc.subjectPeriod-Doublingen_US
dc.subjectStationary And Neimarken_US
dc.subjectSacker Bifurcationsen_US
dc.subjectColorectal Canceren_US
dc.subjectPiecewise Constant Argumentsen_US
dc.titleA mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapytr_TR
dc.titleA Mathematical Model With Piecewise Constant Arguments of Colorectal Cancer With Chemo-Immunotherapyen_US
dc.typeArticleen_US
dspace.entity.typePublication

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