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Dynamics of a tumor-immune model considering targeted chemotherapy

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  • Liu, Peng
  • Liu, Xijun

Abstract

Considering the targeted chemotherapy, a mathematical model of tumor-immune system was constructed on the basis of de Pillis’s model. In this paper, we conducted qualitative analysis on the mathematical model, including the positivity and boundedness of solutions, local stability and global stability of equilibrium solutions. Some numerical simulations were given to illustrate the analytic results. Comparing the targeted chemotherapy model with regular chemotherapy model, we found that the targeted chemotherapy was benefit to kill tumor cells.

Suggested Citation

  • Liu, Peng & Liu, Xijun, 2017. "Dynamics of a tumor-immune model considering targeted chemotherapy," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 7-13.
    • Handle: RePEc:eee:chsofr:v:98:y:2017:i:c:p:7-13
    DOI: 10.1016/j.chaos.2017.03.002
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    References listed on IDEAS

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    1. Bahman Delalat & Vonda C. Sheppard & Soraya Rasi Ghaemi & Shasha Rao & Clive A. Prestidge & Gordon McPhee & Mary-Louise Rogers & Jacqueline F. Donoghue & Vinochani Pillay & Terrance G. Johns & Nils Kr, 2015. "Targeted drug delivery using genetically engineered diatom biosilica," Nature Communications, Nature, vol. 6(1), pages 1-11, December.
    2. Pang, Liuyong & Zhao, Zhong & Song, Xinyu, 2016. "Cost-effectiveness analysis of optimal strategy for tumor treatment," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 293-301.
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    Citations

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    Cited by:

    1. Fawaz E. Alsaadi & Amirreza Yasami & Christos Volos & Stelios Bekiros & Hadi Jahanshahi, 2023. "A New Fuzzy Reinforcement Learning Method for Effective Chemotherapy," Mathematics, MDPI, vol. 11(2), pages 1-25, January.
    2. Jia, Yunfeng, 2020. "Bifurcation and pattern formation of a tumor–immune model with time-delay and diffusion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 92-108.
    3. Dehingia, Kaushik & Das, Parthasakha & Upadhyay, Ranjit Kumar & Misra, Arvind Kumar & Rihan, Fathalla A. & Hosseini, Kamyar, 2023. "Modelling and analysis of delayed tumour–immune system with hunting T-cells," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 669-684.
    4. Akman Yıldız, Tuğba & Arshad, Sadia & Baleanu, Dumitru, 2018. "New observations on optimal cancer treatments for a fractional tumor growth model with and without singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 226-239.

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