A mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapy
| dc.contributor.author | Bozkurt, Fatma | |
| dc.contributor.author | Yousef, Ali | |
| dc.contributor.author | Bilgil, Halis | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2023-02-23T06:34:32Z | |
| dc.date.available | 2023-02-23T06:34:32Z | |
| dc.date.issued | 2023 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| 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 Routh-Hurwitz 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. | |
| dc.identifier.doi | 10.1016/j.chaos.2023.113207 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https:/dx.doi.org/10.1016/j.chaos.2023.113207 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/10274 | |
| dc.identifier.volume | 168 | en_US |
| dc.identifier.wos | WOS:001014802200001 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Elsevier Ltd | |
| dc.relation.ispartof | Chaos, Solitons and Fractals | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/embargoedAccess | |
| dc.subject | Stability | |
| dc.subject | Period-doubling | |
| dc.subject | Stationary and Neimark | |
| dc.subject | Sacker Bifurcations | |
| dc.subject | Colorectal Cancer | |
| dc.subject | Piecewise Constant Arguments | |
| dc.title | A mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapy | |
| dc.type | Article |
