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Analysis of stochastic dynamics of tumor with drug interventions

Author

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  • Hussain, Javed
  • Bano, Zarqa
  • Ahmed, Waleed
  • Shahid, Saba

Abstract

In this work, we propose a stochastic generalization of deterministic coupled TNDL model with drug interventions, that provides an interplay between Tumor cells (T), Natural killer cells (N), dendritic cells (D), and cytotoxic CD8+ T cells (L). We demonstrate the global well-posedness and numerical simulations of the proposed stochastic TNDL model.

Suggested Citation

  • Hussain, Javed & Bano, Zarqa & Ahmed, Waleed & Shahid, Saba, 2022. "Analysis of stochastic dynamics of tumor with drug interventions," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001424
    DOI: 10.1016/j.chaos.2022.111932
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    References listed on IDEAS

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    1. 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.
    2. Qiang Shan & Xiang Li & Xia Chen & Zhouhao Zeng & Shaoqi Zhu & Kexin Gai & Weiqun Peng & Hai-Hui Xue, 2021. "Tcf1 and Lef1 provide constant supervision to mature CD8+ T cell identity and function by organizing genomic architecture," Nature Communications, Nature, vol. 12(1), pages 1-20, December.
    3. A. Fiasconaro & A. Ochab-Marcinek & B. Spagnolo & E. Gudowska-Nowak, 2008. "Monitoring noise-resonant effects in cancer growth influenced by external fluctuations and periodic treatment," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(3), pages 435-442, October.
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    Cited by:

    1. Yu, Xingwang & Ma, Yuanlin, 2022. "Steady-state analysis of the stochastic Beverton-Holt growth model driven by correlated colored noises," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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