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Modeling tumorspheres reveals cancer stem cell niche building and plasticity

Author

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  • Benítez, L.
  • Barberis, L.
  • Condat, C.A.

Abstract

Cancer stem cells have been shown to be critical to the development of a variety of solid cancers. The precise interplay mechanisms between cancer stem cells and the rest of a tissue are still not elucidated. To shed light on the interactions between stem and non-stem cancer cell populations we develop a two-population mathematical model, which is suitable to describe tumorsphere growth. Both interspecific and intraspecific interactions, mediated by the microenvironment, are included. We show that there is a tipping point, characterized by a transcritical bifurcation, where a purely non-stem cell attractor is replaced by a new attractor that contains both stem and differentiated cancer cells. The model is then applied to describe the outcome of a recent experiment. This description reveals that, while the intraspecific interactions are inhibitory, the interspecific interactions stimulate growth. This can be understood in terms of stem cells needing differentiated cells to reinforce their niches, and phenotypic plasticity favoring the de-differentiation of differentiated cells into cancer stem cells. We posit that this is a consequence of the deregulation of the quorum sensing that maintains homeostasis in healthy tissues.

Suggested Citation

  • Benítez, L. & Barberis, L. & Condat, C.A., 2019. "Modeling tumorspheres reveals cancer stem cell niche building and plasticity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    • Handle: RePEc:eee:phsmap:v:533:y:2019:i:c:s0378437119311215
    DOI: 10.1016/j.physa.2019.121906
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    Citations

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    Cited by:

    1. Gabriel Morgado & Annie Lemarchand & Carlo Bianca, 2023. "From Cell–Cell Interaction to Stochastic and Deterministic Descriptions of a Cancer–Immune System Competition Model," Mathematics, MDPI, vol. 11(9), pages 1-25, May.
    2. Meacci, Luca & Primicerio, Mario & Buscaglia, Gustavo Carlos, 2021. "Growth of tumours with stem cells: The effect of crowding and ageing of cells," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    3. Zhu, Guang & Lin, Zhenhua, 2021. "Commentary on statistical mechanical models of cancer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

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