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. 2018 Aug 13;8:12077. doi: 10.1038/s41598-018-30544-0

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© The Author(s) 2018

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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The scheme of quasi-potential landscape and relative dynamic stability. (a) A three-dimensional quasi-potential landscape. A point of XY plane is corresponding to a gene expression state of cell and elevations of each point U(x, y) represent the quasi-potential. Three attractors are local minimums in the quasi-potential landscape. (b–e) are schematic descriptions of four different methods to calculate the relative dynamic stability of the attractors. For clarity, we used two-dimensional representation of the quasi-potential landscape. (b) The relative dynamic stability is defined by the basin size. (c) The dynamic stability is defined by the steady state probability distribution function. (d) The dynamic stability is defined by the mean first passage time. (e) The relative dynamic stability is defined by the basin transition rate.