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A chemotherapy combined with an anti-angiogenic drug applied to a cancer model including angiogenesis

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  • Letellier, Christophe
  • Sasmal, Sourav Kumar
  • Draghi, Clément
  • Denis, Fabrice
  • Ghosh, Dibakar

Abstract

Combined therapy made of a chemotherapy and antiangiogenic agents is a clinical treatment recommended for its efficiency. Since the optimization of a treatment against cancer relasp is still mostly based on oncologist’s know-how, it is desirable to develop different approaches for such a task. Mathematical modelling is one of the promising ways. We here investigated the action of a combined therapy inserted to a mathematical cancer model in order to determine how the dynamics underlying tumor growth is governed by some key parameters. We here retained a chemotherapy (for instance, paclitaxel and carboplatin) combined with an antiangiogenic drug (as bevacizumab) applied to a cancer model describing the interactions between host, immune, tumor and endothelial cells. The effects of such a therapy are investigated and the relevant role played by the “normal” tissue of the tumor micro-environment is evidenced.

Suggested Citation

  • Letellier, Christophe & Sasmal, Sourav Kumar & Draghi, Clément & Denis, Fabrice & Ghosh, Dibakar, 2017. "A chemotherapy combined with an anti-angiogenic drug applied to a cancer model including angiogenesis," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 297-311.
    • Handle: RePEc:eee:chsofr:v:99:y:2017:i:c:p:297-311
    DOI: 10.1016/j.chaos.2017.04.013
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    Cited by:

    1. Xuan, Liu & Ahmad, Shabir & Ullah, Aman & Saifullah, Sayed & Akgül, Ali & Qu, Haidong, 2022. "Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Li, Qian & Xiao, Yanni, 2019. "Bifurcation analyses and hormetic effects of a discrete-time tumor model," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    3. 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.
    4. Das, Parthasakha & Das, Samhita & Das, Pritha & Rihan, Fathalla A. & Uzuntarla, Muhammet & Ghosh, Dibakar, 2021. "Optimal control strategy for cancer remission using combinatorial therapy: A mathematical model-based approach," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).

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