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

Fatma Bozkurt, Ali Yousef, Halis Bilgil and Dumitru Baleanu

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

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.

Keywords: Stability; Period-doubling, stationary and Neimark-Sacker bifurcations; Colorectal cancer; Piecewise constant arguments (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s096007792300108x

DOI: 10.1016/j.chaos.2023.113207

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