A mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapy
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Dosyalar
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Ltd
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Stability, Period-doubling, Stationary and Neimark, Sacker Bifurcations, Colorectal Cancer, Piecewise Constant Arguments
Kaynak
Chaos, Solitons and Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
168
