A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells

Federica Bubba 1, 2 Camille Pouchol 3 Nathalie Ferrand 4 Guillaume Vidal 5 Luís Almeida 1, 2 Benoît Perthame 1, 2 Michèle Sabbah 4
1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 MAMBA - Modelling and Analysis for Medical and Biological Applications
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
3 Sorbonne Universités
4 CR Saint-Antoine - Centre de Recherche Saint-Antoine
5 CELENYS
Abstract : Three-dimensional cultures of cells are gaining popularity as an in vitro improvement over 2D Petri dishes. In many such experiments, cells have been found to organize in aggregates. We present new results of three-dimensional in vitro cultures of breast cancer cells exhibiting patterns. Understanding their formation is of particular interest in the context of cancer since metastases have been shown to be created by cells moving in clusters. In this paper, we propose that the main mechanism which leads to the emergence of patterns is chemotaxis, i.e., oriented movement of cells towards high concentration zones of a signal emitted by the cells themselves. Studying a Keller-Segel PDE system to model chemotactical auto-organization of cells, we prove that it is subject to Turing instability under a time-dependent condition. This result is illustrated by two-dimensional simulations of the model showing spheroidal patterns. They are qualitatively compared to the biological results and their variability is discussed both theoretically and numerically.
Keywords : Linear stability analysis Pattern formation Keller-Segel Mathematical biology
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Journal articles
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https://hal.archives-ouvertes.fr/hal-01895999
Contributor : Federica Bubba <>
Submitted on : Tuesday, October 30, 2018 - 9:57:35 AM
Last modification on : Sunday, January 5, 2020 - 1:21:18 AM
Long-term archiving on: Thursday, January 31, 2019 - 12:37:04 PM

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Federica Bubba, Camille Pouchol, Nathalie Ferrand, Guillaume Vidal, Luís Almeida, et al.. A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells. Journal of Theoretical Biology, Elsevier, 2019, 479, pp.73-80. ⟨10.1016/j.jtbi.2019.07.002⟩. ⟨hal-01895999⟩

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