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Identification and functional enrichment of intersecting genes
To identify genes involved in SUMOylation and mitochondrial function in HF, quality control was first performed on the training set GSE59867 (Supplementary Figure 1A). A three-way intersection analysis was conducted among all genes in the training set, SRGs, and MRGs, identifying 113 overlapping genes (Figure 1A). To explore the potential biological functions of these genes, GO and KEGG pathway enrichment analyses were performed. As shown in Figure 1B, GO enrichment revealed that these genes were mainly involved in mitochondrial autophagy regulation, mitophagy, nucleoside triphosphate metabolism, and cell cycle-related components, including spindle and mitotic spindle structures. Key molecular functions included ubiquitin protein ligase binding and transcription factor activity. KEGG pathway analysis further highlighted significant enrichment in disease- and metabolism-related pathways, including pathways of neurodegeneration, lipid and atherosclerosis, estrogen signaling, viral infections, and mitophagy (Figure 1C). Collectively, these findings suggest that the intersecting genes may play a critical role in mitochondrial metabolic imbalance and cellular stress responses.
Screening of key genes
To robustly identify key genes associated with HF pathogenesis, three machine learning (ML) approaches were employed: LASSO regression, XGBoost, and RF. Using LASSO regression, we identified 15 genes based on optimal lambda values selected via cross-validation (Figure 2A,B). XGBoost and RF models were used to assess the importance of each gene using gain values and Gini indices, respectively, each yielding 20 top-ranking features (Figure 2C,D; Supplementary Table 4). As shown in Figure 2E, seven genes-NFKB1, SQSTM1, PGR, TFAP4, MYEF2, FKBP4, and NSUN2-were obtained after integrating the results from all three ML approaches. Differential expression analysis between HF and non-HF samples further confirmed that NFKB1, SQSTM1, MYEF2, FKBP4, and NSUN2 were significantly dysregulated in HF (Figure 2F), and these were subsequently designated as the final key genes for downstream analysis. Pearson correlation analysis indicated co-expression among the five genes (Supplementary Figure 1B), suggesting coordinated roles in the molecular pathology of HF.
Construction and evaluation of diagnostic models based on logistic regression
To assess the diagnostic value of the five key genes in distinguishing HF patients from non-HF controls, a logistic regression-based model was constructed. A risk score of HF was calculated by following the final regression equation: logit(P) = 15.438 + (12.734 × expression value of FKBP4) + (-4.575 × expression value of MYEF2) + (-15.757×expression value of NFKB1) + (4.713 × expression value of SQSTM1) + (-6.214 × expression value of NSUN2). As shown in Figure 3, the model achieved an AUC of 0.913 in GSE59867 (Figure 3A). In the independent validation dataset (GSE57338), the model retained acceptable predictive power with an AUC of 0.734 (Figure 3B), suggesting moderate generalizability. To visualize the diagnostic model, a nomogram based on the five key genes was developed (Figure 3C). To further evaluate model performance, a confusion matrix analysis yielded an overall accuracy of 0.83, sensitivity of 0.77, specificity of 0.88, and F1 score of 0.81 (Figure 3D). Additionally, DCA indicated a potential clinical benefit at certain threshold probabilities (Figure 3E), supporting the model’s utility for clinical decision-making. The calibration curve also showed acceptable agreement between predicted and observed probabilities, with minimal bias (Figure 3F).
Subcellular localization of key genes and gene-disease association
As protein function is often closely linked to its spatial context within the cell, identifying the precise subcellular localization can provide preliminary clues about potential regulatory mechanisms. To investigate the potential mechanistic roles of select genes in toxicity and disease processes, we integrated subcellular localization predictions with toxicogenomic inference analysis for five key genes: FKBP4, MYEF2, NFKB1, NSUN2, and SQSTM1. Subcellular localization analysis (Figure 4A–E) revealed that these proteins were distributed across the nucleus, cytosol, mitochondria, endoplasmic reticulum, and lysosome, suggesting their potential involvement in processes such as transcriptional regulation, cellular stress response, and autophagy. Complementary radar chart analyses (Figure 4F–J) demonstrated distinct disease and toxicity associations for each gene. FKBP4 was mainly associated with chemical and drug-induced liver injury, weight loss, and memory disorders, while MYEF2 was enriched in prenatal exposure-related effects, cell transformation, and liver injury. NFKB1 and SQSTM1 were both linked to inflammation, necrosis, and hyperplasia, whereas NSUN2 was associated with poisoning, kidney disease, and fibrosis. While several of these associations are not specific to HF, they involve biological processes such as inflammation, fibrosis, and cellular stress, which are relevant to HF pathology. Taken together, these results suggest that the identified genes may be linked to cellular stress and inflammatory responses in HF.
Gene set enrichment analysis of key genes
To further explore the potential biological functions of the five key genes, we conducted GSEA. GO BP analysis revealed that these genes are significantly enriched in pathways related to nuclear regulatory functions, RNA processing, ribonucleoprotein complex biogenesis, and macromolecule methylation (Figure 5A–E). Notably, FKBP4 and NFKB1 were also associated with protein folding and sensory perception, while MYEF2, NSUN2, and SQSTM1 exhibited strong enrichment in RNA metabolic processes and ribosomal biogenesis. Furthermore, KEGG pathway enrichment analysis (Supplementary Figure 2A–E) showed that these genes are involved in key signaling pathways, including cell cycle regulation, phagosome formation, and autophagy. These findings suggest that the identified key genes may contribute to HF pathogenesis by modulating essential cellular processes, particularly those governing transcriptional regulation, immune responses, and metabolic adaptation.
Immune microenvironment in HF
To gain insights into the immunological microenvironment in HF, three complementary immune deconvolution algorithms were employed: CIBERSORT, MCPcounter, and ssGSEA. Notably, all three algorithms consistently identified significant neutrophil upregulation in HF patients (Figure 6A,C,E). To further explore the relationship between immune cell infiltration and gene expression, correlation analyses were performed. Interestingly, MYEF2 and NSUN2 expression levels showed significant negative correlations with neutrophil abundance, whereas SQSTM1 showed a positive association (Figure 6B,D,F). These findings suggest that key genes may differentially regulate immunoinflammatory responses in HF, potentially by modulating neutrophil-mediated pathways.
Drug-gene interaction prediction and construction of the ceRNA regulatory network
To identify potential therapeutic drugs targeting the key genes, drug-gene interactions were first explored for the five key genes using the DGIdb database. Three genes-SQSTM1, NFKB1, and FKBP4-were found to interact with a total of six candidate compounds (Figure 7A). Among these, IMX-942 showed the highest interaction score with SQSTM1. For the other targets, no crystal structure has been identified, so SQSTM1 and IMX-942 were selected for molecular docking validation. As shown in Figure 7B, the docking simulation revealed a binding energy of -5.8 kcal/mol, indicating a strong binding affinity between IMX-942 and the SQSTM1-encoded protein. These drug prediction results suggest a novel therapeutic approach for HF treatment. In addition, an exploratory ceRNA network analysis was performed to identify potential post-transcriptional regulatory relationships among HF-related genes. A total of 140 and 180 potential miRNAs were predicted using the PITA and miRDB databases, respectively, with 24 miRNAs identified in both datasets (Figure 7C). Further analysis identified six lncRNAs potentially interacting with 16 of these miRNAs. By integrating miRNA–mRNA and lncRNA–miRNA interactions, a putative ceRNA network was constructed (Figure 7D). However, these interactions are based on computational prediction and require further experimental validation.
Validation of key gene expression
To substantiate the reliability of the computational findings, RT-qPCR was employed to quantify the expression profiles of the five key genes in a clinical cohort. As illustrated in Figures 8A–E, all candidate markers exhibited statistically significant differential expression between the HF and control groups (p < 0.05). Specifically, the transcriptional abundance of MYEF2 (p = 0.0043), NFKB1 (p = 0.0452), and NSUN2 (p = 0.0022) was markedly downregulated in HF samples, whereas FKBP4 (p = 0.0260) and SQSTM1 (p = 0.0157) demonstrated significant upregulation. These experimental trajectories are highly concordant with the in-silico predictions, thereby supporting the bioinformatics-based identification of these key genes.
To evaluate the potential influence of demographic factors, associations between age, sex, and the expression of the five candidate biomarkers in GSE57338 were further analyzed. Most genes exhibited weak or non-significant correlations with age, and only SQSTM1 showed a significant sex-related difference, suggesting that the identified candidate biomarkers were not substantially affected by demographic factors (Supplementary Figure 3A,B).
Data Availability:
The public datasets analyzed in this study are available from the Gene Expression Omnibus (GEO) database under accession numbers GSE59867 and GSE57338. All data generated during this study, including qPCR validation data, source data underlying the figures, and associated analysis files, have been deposited in the Zenodo repository and are publicly available at DOI: 10.5281/zenodo.20552009 (https://zenodo.org/records/20552009).

Figure 1: Identification of intersecting genes. (A) Venn diagram of intersecting genes from the training set, SRGs, and MRGs. (B) GO enrichment analysis showing significant terms in Molecular Function (MF), Biological Process (BP), and Cellular Component (CC) categories. (C) KEGG pathway enrichment analysis of intersecting genes. Please click here to view a larger version of this figure.

Figure 2: Screening of key genes. (A) Cross-validation curve of LASSO model. (B) Coefficient profile of genes in LASSO regression. (C) Top 20 features ranked by gain value in XGBoost. (D) Top 20 features ranked by mean Gini importance in RF. (E) Venn diagram showing overlapping genes identified by all three models. (F) Violin plots of gene expression levels in HF and control groups. * = p < 0.05, ** = p < 0.01, *** = p < 0.001, **** = p < 0.0001. Please click here to view a larger version of this figure.

Figure 3: Construction and validation of a logistic regression-based diagnostic model for HF. (A,B) ROC curves showing model performance in the (A) training set (GSE59867) and (B) validation set (GSE57338). (C) Nomogram incorporating five key genes for individual HF risk prediction. (D) A confusion matrix illustrates classification performance. (E) Decision curve analysis (DCA) comparing net clinical benefit. (F) Calibration curve indicating consistency between predicted and actual outcomes. Please click here to view a larger version of this figure.

Figure 4: Subcellular localization of key genes and gene-disease association. (A–E) Subcellular localization diagrams of (A) SQSTM1, (B) MYEF2, (C) NFKB1, (D) FKBP4, and (E) NSUN2. (F–J) Radar charts for gene-associated effects of (F) FKBP4, (G) MYEF2, (H) NFKB1, (I) NSUN2, and (J) SQSTM1. Please click here to view a larger version of this figure.

Figure 5: GO biological process enrichment analysis of key genes. (A–E) GSEA results for (A) FKBP4, (B) MYEF2, (C) NFKB1, (D) NSUN2, and (E) SQSTM1 in terms of enriched GO biological processes (BP). Please click here to view a larger version of this figure.

Figure 6: Immune microenvironment in HF. (A) Differences in 22 immune cell types between HF and non-HF groups were analyzed using CIBERSORT. (B) Correlation between key gene expression and immune cell infiltration derived from CIBERSORT. (C) Differences in 8 immune cell types analyzed by MCPcounter. (D) Correlation between gene expression and MCP counter-estimated immune infiltration. (E) Differences in 28 immune cell types analyzed by ssGSEA. (F) Correlation between key gene expression and immune infiltration derived from ssGSEA. * = p < 0.05, ** = p < 0.01, *** = p < 0.001, **** = p < 0.0001. Please click here to view a larger version of this figure.

Figure 7: Drug-gene interaction prediction and ceRNA regulatory network construction. (A) Network of predicted drug-gene interactions. Orange nodes represent key genes; purple diamonds represent candidate drugs. (B) Molecular docking results showing the binding interface between IMX-942 and the SQSTM1-encoded protein. The enlarged panel shows key hydrogen bond interactions and binding residues. (C) Venn diagram of miRNA prediction from PITA and miRDB databases. (D) ceRNA regulatory network for HF. Orange circles represent mRNAs, blue circles represent miRNAs, and green squares represent lncRNAs. Solid lines indicate miRNA-mRNA regulation; dotted lines represent lncRNA-miRNA interactions. Please click here to view a larger version of this figure.

Figure 8: qPCR validation in clinical samples. Bar charts showing the mRNA expression levels of (A) MYEF2, (B) NFKB1, (C) NSUN2, (D) FKBP4, and (E) SQSTM1. Error bars represent SD. * = p < 0.05, ** = p < 0.01. Please click here to view a larger version of this figure.
Supplementary Figure 1: (A) Normalization of the GSE59867 dataset. The left represents before normalization, and the right represents after normalization. (B) Heatmap of gene correlation. Please click here to download this file.
Supplementary Figure 2: Gene set enrichment analysis of the key genes. KEGG of (A) FKBP4, (B) MYEF2, (C) NFKB1, (D) NSUN2, and (E) SQSTM1.Please click here to download this file.
Supplementary Figure 3. Associations between demographic factors and key genes expression in GSE57338. (A) Correlation between age and expression of the five key genes. (B) Comparison of gene expression between male and female subjects.Please click here to download this file.
Supplementary Table 1. Clinical characteristics of samples in GSE57338.Please click here to download this file.
Supplementary Table 2. List of SRGs. Please click here to download this file.
Supplementary Table 3. List of MRGs. Please click here to download this file.
Supplementary Table 4. Screening genes of three algorithms.Please click here to download this file.