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. 2022 Jun 1;8:65. doi: 10.1038/s41531-022-00328-5

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© The Author(s) 2022

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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Fig. 3 — HY stages for which a specific genus was essential in modeling are underlined. Genera that were significantly changed in our dataset in our previous analysis³⁸ are indicated in green letters. Note that vertical scales are different for different HY stages in Akkermansia, Lactobacillus, and Ruminococcus gnavus group. Means are indicated by red bars. P-values were calculated by the Wilcoxon rank sum test. ^*P < 0.05.