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. 2019 Sep 11;9:13124. doi: 10.1038/s41598-019-49571-6

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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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Relation of control target and activity level probabilities with the difference of undesired and desired states. (a) Correlation analysis between control target probability and |V_undesired − V_desired| of each node in CACC21, CACC49, T-cell49 and MAPK33 networks (Supplementary Data 1, 2, 3 and 4). Symbol V_undesired (V_desired) denotes the mean value of a node state in all undesired (desired) states, where the undesired and desired states in CACC21, CACC49, T-cell49 and MAPK33 are defined in the previous subsections. |V_undesired − V_desired| denotes the absolute value of difference between V_undesired and V_desired of each node. Pearson’s correlation coefficients (r) and P values (p) indicate a strong positive correlation. (b) Relation between zero activity level probability and V_undesired − V_desired of each node in CACC21, CACC49, T-cell49 and MAPK33 networks (Supplementary Data 1, 2, 3 and 4). The zero activity level probability of a node denotes the probability that the node’s value is 0 in all the control target sets, which tends to increase as V_undesired − V_desired increases.