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. 2021 Jan 13;11:1253. doi: 10.1038/s41598-020-80858-1

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© The Author(s) 2021

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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(A) The count of model of 1000 times Lasso Cox proportion hazards regression into training set. The 24 IRGPs with the highest frequency were selected for the development of IRGPI. (B) Time dependent receiver operating characteristic (ROC) curve within five years for IRGPI in the training cohort. The optimal IRGPI of − 0.855 was performed as cut off to divided patients into low- or high-IRGPI risk groups.