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

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  • Bozkurt, Fatma
  • Yousef, Ali
  • Bilgil, Halis
  • Baleanu, Dumitru

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.

Suggested Citation

  • Bozkurt, Fatma & Yousef, Ali & Bilgil, Halis & Baleanu, Dumitru, 2023. "A mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapy," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s096007792300108x
    DOI: 10.1016/j.chaos.2023.113207
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    References listed on IDEAS

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    1. Liu, Xiaoli & Xiao, Dongmei, 2007. "Complex dynamic behaviors of a discrete-time predator–prey system," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 80-94.
    2. Pati, N.C. & Layek, G.C. & Pal, Nikhil, 2020. "Bifurcations and organized structures in a predator-prey model with hunting cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    3. S. Kartal & M. Kar & N. Kartal & F. Gurcan, 2016. "Modelling and analysis of a phytoplankton–zooplankton system with continuous and discrete time," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 22(6), pages 539-554, November.
    4. Andreas Diefenbach & Eric R. Jensen & Amanda M. Jamieson & David H. Raulet, 2001. "Rae1 and H60 ligands of the NKG2D receptor stimulate tumour immunity," Nature, Nature, vol. 413(6852), pages 165-171, September.
    5. Ali Yousef & Fatma Bozkurt Yousef, 2019. "Bifurcation and Stability Analysis of a System of Fractional-Order Differential Equations for a Plant–Herbivore Model with Allee Effect," Mathematics, MDPI, vol. 7(5), pages 1-18, May.
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    Cited by:

    1. Matsushita, Haruna & Kurokawa, Hiroaki & Kousaka, Takuji, 2023. "Non-gradient-based simultaneous strategy for bifurcation parameter detection," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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