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. 2023 Jul 22;6:768. doi: 10.1038/s42003-023-05128-y

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© The Author(s) 2023, corrected publication 2023

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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 4 — a Differential Rank Conservation (DIRAC) analysis of the M001-related transcriptomics data using Gene Ontology Biological Process (GOBP)-defined modules (see Supplementary Data 5 for complete results). Presented is the overall distribution of module rank conservation index (RCI). CR: calorie restriction. Data: median (center line), 95% confidence interval (CI) around median (notch), [Q₁, Q₃] (box limits), [x_min, x_max] (whiskers), where Q₁ and Q₃ are the 1st and 3rd quartile values, and x_min and x_max are the minimum and maximum values in [Q₁ − 1.5 × IQR, Q₃ + 1.5 × IQR] (IQR: the interquartile range, Q₃ − Q₁), respectively; n = 3912 modules. ***P < 0.001 by two-sided Mann–Whitney U-tests after the Benjamini–Hochberg adjustment across three comparisons. b–d DIRAC comparison analysis between the LC-M001 proteomics and M001-related transcriptomics data using GOBP-defined modules (see Supplementary Data 6 for complete results). b Venn diagram of the modules that exhibited (1) the significant intervention effect on module RCI (Analysis of Variance (ANOVA) after the Benjamini–Hochberg adjustment across 312 (156 modules × two omics datasets) tests) and (2) significantly higher RCI in intervention group than control group (i.e., tightened module; the post hoc two-sided Welch’s t-tests after the Benjamini–Hochberg adjustment across four (two comparisons × two omics datasets) comparisons). P: proteomics, T: transcriptomics. c, d Sample rank matching score (RMS) distributions for an example of the tightened modules in both proteins and transcripts (c; GO:0006635, fatty acid β-oxidation) or specifically in proteins (d; GO:0042866, pyruvate biosynthetic process). Data: the mean (dot) with 95% CI (bar); n = 12 mice. *P < 0.05, **P < 0.01, ***P < 0.001 by two-sided Welch’s t-tests after the Benjamini–Hochberg adjustment across four (two comparisons × two omics datasets) comparisons.