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. 2019 Oct 30;9:15607. doi: 10.1038/s41598-019-51575-1

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© The Author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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(a) Schematic presentation of the model corresponding to the set of equations Eq. (1) (b) Phase diagram for existence and stability of fixed points in the plane of dimensionless parameters d,q₀. Regions are separated by d = q₀ and by d = ψα/β. The range γ/α > m₀ has been selected. Stable fixed points are represented by a square, saddle fixed points by a speech bubble. In the plastic region, d < q₀, the value of the parameters are intimately related, m₂ being always close to m₀ indicating an easy phenotypic switching and so plasticity. Close to $ℱ_{2}$ , tumor cells are then in the highest plastic state. In the following, Table 2 classifies all the fixed points in each region of the phase diagram.