LASSO-penalized Cox regression, Univariate and Multivariate COX regression Analysis

Clinical and mRNA-seq data for 473 colorectal cancer patients and 41 normal controls were retrieved from the TCGA database. After excluding cases lacking complete survival data, the analysis incorporated the mRNA expression and clinical data of 441 patients with colorectal cancer. Then, we utilized these data to perform univariate Cox analysis to assess the correlation between 1223 genes in the human ubiquitination and de-ubiquitination complex genes (UBDUB, From Addgene #171531) and overall survival (OS) prognosis. Subsequently, we performed LASSO-penalized Cox regression on genes with p-values less than 0.05 from the univariate Cox analysis to select prognostically relevant hub genes. Moreover, we further conducted multivariate Cox analysis on these hub genes to explore their independent prognostic significance.