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. 2020 Jan 16;10:438. doi: 10.1038/s41598-019-57247-4

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© The Author(s) 2020

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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Consequences of measurement error when using correlation in systems biology. (A) Time concentration profile of three metabolites P1, P2 and P3 generated through a simple enzymatic metabolic model; 100 profiles are generated by randomly varying the kinetic parameters defining the model and sampled at time 0.4 (a.u.). (B) Average pairwise correlation of P1, P2 and P3 as a function of the variance of the additive uncorrelated error. (C) Inference of a metabolite-metabolite correlation network: two metabolites are associated if their correlation is above 0.6²³ (see threshold in B). The increasing level of measurement error hampers the network inference (compare the different panels). See Material and Methods section 6.5.2 for details on the simulations.