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. 2023 Aug 17;14:4987. doi: 10.1038/s41467-023-40597-z

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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 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. 7 — a, b Kaplan–Meier survival curves are shown for overall survival (OS, a) and relapse-free survival (RFS, b) based on the expression of PAK4 and HMGCS2 in HCC patients. c Immunoblot analysis was performed for the indicated proteins in non-tumor (N) and tumor (T) liver tissues obtained from HCC patients (n = 30). NCoR1 phosphorylation was analyzed by immunoblotting with anti-p-Ser/Thr antibody following immunoprecipitation with anti-NCoR1 antibody. Protein density was quantified. d βOHB levels were measured in non-tumor and tumor liver tissues (n = 23). e The proposed summary is presented. Data are presented as the mean ± SEM. The survival of HCC patients was analyzed with univariate and multivariate Cox proportional hazards regression analyses and Kaplan–Meier survival analysis (a, b). Unpaired two-tailed t test was conducted for statistical analyses (c, d). Pearson correlation coefficients were calculated between continuous variables (d). Source data are provided as a Source Data file.