AR protein expression differed across disease states. Figure 3 and Table 3 report the immunohistochemistry (IHC)-derived nuclear AR H-score (0–300), which was the principal protein-level AR measurement used throughout Tables 3–9 and the survival models. Mean H-score was 122.3 in non-malignant tissue, 127.0 in primary localized malignancy, 181.3 in HNBM, 182.6 in STCM, and 186.8 in CRPC; the overall group difference was significant (one-way ANOVA, F = 13.72, p < 0.001). Transcript-level AR measurements were analyzed separately.
Promoter methylation was analyzed both continuously and after dichotomization. The cohort median beta value of 0.51195 was used as the low/high methylation cutpoint. For the present analysis, this cutpoint was fixed before fitting the Kaplan-Meier and Cox outcome models and was then applied unchanged across all survival analyses. Using this binary definition, methylation-category distribution across the five clinical groups was not statistically significant (χ2 = 8.42, df = 4, p = 0.077; Cramer's V = 0.24). In continuous analyses, AR promoter methylation was inversely associated with nuclear AR H-score (r = -0.480, 95% CI -0.596 to -0.344, p < 0.001; Table 5). These findings support an inverse methylation–AR relationship while avoiding a claim of a significant binary group difference in this dataset.
Clinicopathological associations by clinical group were evaluated using contingency-table methods and are summarized in Table 4. Gleason grading was analyzed only in malignant specimens because Gleason score is not applicable to non-malignant prostate tissue; the non-malignant group was therefore excluded from Gleason-specific comparisons and Figure 4.
Associations between nuclear AR H-score and clinical or molecular variables are summarized in Table 5 and visualized in Figure 5. H-score was positively associated with PSA level (r = 0.674, 95% CI 0.575–0.754, p < 0.001), AR mRNA relative expression (r = 0.641, 95% CI 0.534–0.727, p < 0.001), and Eastern Cooperative Oncology Group (ECOG) performance status (ρ = 0.377, 95% CI 0.229–0.508, p < 0.001), and inversely associated with AR promoter methylation (r = -0.480, 95% CI -0.596 to -0.344, p < 0.001) and hemoglobin (r = -0.290, 95% CI -0.432 to -0.134, p < 0.001). Figure 5 presents these coefficients and 95% confidence intervals as a correlation forest plot. Gleason category is not displayed as a linear correlation because it is an ordered categorical variable.
Among the 134 malignant cases in the survival dataset, 61 were AR-low and 73 were AR-high by the median H-score cutpoint. The AR-high stratum had longer observed median PFS (18.9 vs 12.4 months) and OS (56.2 vs 33.4 months) than the AR-low stratum (Table 6). The direction and magnitude of adjusted associations should be interpreted together with the multivariable Cox models in Table 7. Figure 6 separately displays Kaplan-Meier curves for MCA-negative and MCA-positive metastatic cases; the substantial overlap of the curves indicates limited visual discrimination in the present cohort, so the MCA survival pattern is interpreted descriptively. Complementary survival-time distributions by key predictors are shown in Figure 7.
The PSA-level ANOVA model identified significant main and interaction effects for clinical group, AR category, metastatic status, Gleason score category, clinical group × AR category, and AR category × metastatic status (Table 8). Figure 8 visualizes the corresponding partial η2 effect sizes rather than raw group means: clinical group showed the largest effect (partial η2 = 0.361, p < 0.001), followed by clinical group × AR category (0.112, p = 0.003), AR category (0.109, p < 0.001), metastatic status (0.067, p = 0.002), Gleason score category (0.059, p = 0.004), and AR category × metastatic status (0.029, p = 0.045). Logistic regression results for high AR expression are reported in Table 9, with odds ratios and 95% confidence intervals displayed in Figure 9 on a logarithmic scale. Significant predictors included Gleason score ≥ 8, PSA > 20 ng/mL, metastatic status, bone-only metastases, visceral metastases, AR promoter methylation < median, ECOG ≥ 2, and hemoglobin < 12 g/dL, whereas age and STCM status were not statistically significant. The broader clinical classification and relevance of representative prostate cancer biomarkers are summarized in Table 10.
DATA AVAILABILITY:
The de-identified raw and processed data supporting the findings of this study are deposited in Figshare (DOI: https://doi.org/10.6084/m9.figshare.33421318.v2).

Figure 1: Androgen receptor signaling pathway and therapeutic intervention points. Schematic of androgen synthesis and AR signaling with representative therapeutic nodes, including GnRH modulation, CYP17 inhibition, and AR antagonism. Adapted and redrawn from Hou and Flaig6 under the Creative Commons Attribution license; changes were made to layout and labeling.
Abbreviations: AR, androgen receptor; GnRH, gonadotropin-releasing hormone; CYP17, cytochrome P450 17A1.Please click here to view a larger version of this figure.

Figure 2: Study workflow and data integration. Flow diagram of specimen grouping, DNA methylation profiling, AR expression quantification (mRNA and IHC), and linkage to clinicopathologic variables and survival analyses.
Abbreviations: AR, androgen receptor; mRNA, messenger RNA; IHC, immunohistochemistry.Please click here to view a larger version of this figure.

Figure 3: AR protein-expression distributions across clinical groups. The y-axis represents the IHC-derived nuclear AR H-score on a 0–300 scale, the principal protein-level AR measure used in the main analyses. Clinical groups are non-malignant prostate tissue, primary localized malignancy (PLM), hormone-naïve bone metastases (HNBM), short-term castration metastases (STCM), and CRPC bone metastases.
Abbreviations: AR, androgen receptor; IHC, immunohistochemistry; PLM, primary localized malignancy; HNBM, hormone-naïve bone metastases; STCM, short-term castration metastases; CRPC, castration-resistant prostate cancer.Please click here to view a larger version of this figure.

Figure 4: Distribution of high Gleason grade across malignant clinical groups. Stacked bars depict the proportion of Gleason <8 and Gleason ≥8 cases among malignant specimens only. The non-malignant group is excluded because Gleason grading is not applicable to benign prostate tissue.
Abbreviations: HNBM, hormone-naïve bone metastases; STCM, short-term castration metastases; CRPC, castration-resistant prostate cancer.Please click here to view a larger version of this figure.

Figure 5: Associations of nuclear AR H-score with clinical and molecular variables. Forest plot of Pearson or Spearman correlation coefficients with 95% confidence intervals for PSA level, AR promoter methylation, AR mRNA relative expression, ECOG performance status, and hemoglobin. The vertical reference line at zero denotes no correlation. Gleason category is not included because it is an ordered categorical variable.
Abbreviations: AR, androgen receptor; PSA, prostate-specific antigen; mRNA, messenger RNA; ECOG, Eastern Cooperative Oncology Group.Please click here to view a larger version of this figure.

Figure 6: Kaplan-Meier overall-survival curves by AR Methylation Classifier (MCA) status. Curves compare MCA-negative and MCA-positive metastatic cases, with shaded confidence intervals. The substantial overlap indicates limited separation in this cohort; the MCA-associated survival pattern is therefore interpreted descriptively and as hypothesis-generating pending external validation.
Abbreviations: AR, androgen receptor; MCA, AR Methylation Classifier. Please click here to view a larger version of this figure.

Figure 7: Violin plots of survival-time distributions by key predictors. Distributions of survival times across selected predictors, including Gleason category, PSA category, and metastatic status, provide a complementary descriptive view of risk stratification.
Abbreviations: PSA, prostate-specific antigen.Please click here to view a larger version of this figure.

Figure 8: Effect sizes for the PSA-level ANOVA model. Horizontal bars display partial η2 for the main and interaction effects reported in Table 8: clinical group (0.361), AR category (0.109), metastatic status (0.067), Gleason score category (0.059), clinical group × AR category (0.112), and AR category × metastatic status (0.029). Corresponding p values are annotated beside each bar; larger partial η2 values indicate greater explained variance in PSA level.
Abbreviations: PSA, prostate-specific antigen; ANOVA, analysis of variance; AR, androgen receptor.Please click here to view a larger version of this figure.

Figure 9: Forest plot of logistic-regression predictors of high AR expression. Odds ratios and 95% confidence intervals from Table 9 are displayed on a logarithmic x-axis; the promoter-methylation predictor is coded as AR promoter methylation < median.
Abbreviations: AR, androgen receptor. Please click here to view a larger version of this figure.
| Table 1. Baseline demographic and clinical characteristics of the cohort |
| Variable | Category / Unit | n (%) / Mean ± SD |
| Total specimens | — | 146 |
| Age | Years | 65.4 ± 7.2 |
| Age group | <60 / 60–69 / ≥70 | 38 (26.0) / 72 (49.3) / 36 (24.7) |
| Body mass index (BMI) | kg/m² | 27.1 ± 3.8 |
| Clinical group | NM / PLM / HNBM / STCM / CRPC | 12 / 12 / 14 / 4 / 104 |
| Prostate-specific antigen (PSA) | ng/mL | 18.6 ± 7.9 |
| Comorbidities | Hypertension / Diabetes / CVD / None | 46 (31.5) / 28 (19.2) / 18 (12.3) / 54 (37.0) |
| Performance status (ECOG) | 0 / 1 / ≥2 | 82 (56.2) / 44 (30.1) / 20 (13.7) |
| Molecular assay data available | Methylation / AR transcript / IHC H-score | 146 / 146 / 146 |
| Nuclear AR H-score category | Low (<median) / High (≥median) | 73 / 73 |
| Survival cohort | Malignant cases included | 134 |
| PFS events | Overall | 110 |
| Deaths | Overall | 87 |
| Median follow-up | Months | 52.82 |
Table 1: Baseline demographic and clinical characteristics of the cohort. Summary of age, body mass index (BMI), clinical stage, Gleason score, PSA, treatment type, metastatic status, ECOG status, follow-up, survival, and data availability providing the clinical context for molecular analyses.
Abbreviations: NM, non-malignant; PLM, primary localized malignancy; HNBM, hormone-naïve bone metastases; STCM, short-term castration metastases; CRPC, castration-resistant prostate cancer; CVD, cardiovascular disease; ECOG, Eastern Cooperative Oncology Group; AR, androgen receptor; IHC, immunohistochemistry; PFS, progression-free survival.
| Table 2. Overview of variables, predictors, sources, and biomarkers |
| Category | Details |
| Variables | Nuclear AR H-score (0–300), AR mRNA relative expression, promoter-associated CpG methylation, clinical disease state, progression-free survival (PFS), and overall survival (OS). |
| Predictors | AR-high/AR-low category defined by the cohort median nuclear AR H-score; AR Methylation Classifier (MCA) status; and clinicopathologic variables used in the corresponding regression models. |
| Sources | Formalin-fixed, paraffin-embedded (FFPE) prostate tissue or histologically confirmed bone-metastatic tissue linked to clinical records. The final analytic file contained 146 records; no external patient-level dataset was merged into the primary analysis. |
| Biomarker readouts | AR mRNA relative expression by real-time PCR; nuclear AR H-score by immunohistochemistry; promoter-associated CpG methylation beta-values; and MCA status. |
| Clinical purpose | AR expression and MCA were evaluated as prognostic biomarkers. Treatment-predictive utility was not claimed because no biomarker-by-treatment interaction design was used. |
Table 2: Overview of variables, predictors, sources, and biomarkers. Listing of nuclear AR H-score, AR mRNA relative expression, promoter-associated CpG methylation, MCA status, data sources (FFPE tissue and clinical records), and the corresponding biomarker readouts.
| Table 3. One-way ANOVA of nuclear AR H-score across clinical groups |
| Group | n | Mean nuclear AR H-score (0–300) | Overall F statistic | p value |
| Non-malignant (NM) | 12 | 122.3 | 13.72 | <0.001 |
| Primary localized malignant (PLM) | 12 | 127 | — | — |
| Hormone-naïve bone metastases (HNBM) | 14 | 181.3 | — | — |
| Short-term castration metastases (STCM) | 4 | 182.6 | — | — |
| CRPC bone metastases | 104 | 186.8 | — | — |
Table 3: One-way ANOVA of nuclear AR H-score across clinical groups. Comparison of mean IHC-derived AR H-score (0–300) among non-malignant, primary localized, HNBM, STCM, and CRPC groups, showing a significant overall group difference.
Abbreviations: ANOVA, analysis of variance.
| Table 4. Chi-square associations between clinical groups and clinicopathological features |
| Variable | χ2 (df) | p value | Cramer’s V | Association / note |
| Gleason grade (<8 vs ≥8) | — | — | — | Non-malignant tissue excluded; Gleason distribution is presented descriptively among malignant groups because STCM (n = 4) yields sparse expected cells. |
| Tumor stage (T2 / T3 / T4) | 28.1 (8) | <0.001 | — | Higher T4 frequency in CRPC. |
| Lymph node status (+ / −) | 14.7 (4) | 0.005 | — | Positive lymph-node status more frequent in metastatic disease. |
| PSA category (<10 / 10–20 / >20 ng/mL) | 37.8 (8) | <0.001 | 0.36 | Higher PSA >20 ng/mL in CRPC. |
| Metastatic site pattern (bone-only / visceral / mixed) | 22.4 (6) | 0.001 | — | Visceral metastases more frequent in CRPC. |
| ECOG performance status (0–1 vs ≥2) | 11.2 (4) | 0.024 | 0.28 | ECOG ≥2 more common in CRPC. |
| AR promoter methylation (low vs high) | 8.42 (4) | 0.077 | 0.24 | Median-dichotomized methylation distribution did not differ significantly across the five clinical groups. |
Table 4: Chi-square associations between clinical groups and clinicopathological features. Associations of group classification with Gleason grade, tumor stage, PSA category, ECOG status, metastatic pattern, and the median-dichotomized AR promoter-methylation category. The methylation-category comparison is interpreted according to its reported chi-square p value rather than as evidence of a significant stage effect.
NOTE: — indicates an effect size or inferential result not reported for that comparison. Cramer’s V values shown are based on the evaluable cohort for the corresponding analysis.
| Table 5. Associations of nuclear AR H-score with clinical and molecular markers |
| Marker | Test | r / ρ | 95% CI | p value | Interpretation |
| PSA level (ng/mL) | Pearson | 0.67 | 0.575–0.754 | <0.001 | Positive association with nuclear AR H-score |
| AR promoter methylation | Pearson | -0.48 | −0.596 to −0.344 | <0.001 | Higher methylation associated with lower nuclear AR H-score |
| AR mRNA relative expression | Pearson | 0.64 | 0.534–0.727 | <0.001 | Positive association between transcript-level AR and nuclear AR H-score |
| ECOG performance status | Spearman | 0.38 | 0.229–0.508 | <0.001 | Higher ECOG category associated with higher nuclear AR H-score |
| Hemoglobin (g/dL) | Pearson | -0.29 | −0.432 to −0.134 | <0.001 | Lower hemoglobin associated with higher nuclear AR H-score |
Table 5: Associations of nuclear AR H-score with clinical and molecular markers. Pearson or Spearman coefficients, 95% confidence intervals, and p values are reported for PSA level, AR promoter methylation, AR mRNA relative expression, ECOG performance status, and hemoglobin. The corresponding coefficients are visualized in Figure 5.
| Table 6. Kaplan–Meier survival summaries by AR H-score category and clinical group |
| Variable | Category | n | Median PFS (months) | Median OS (months) |
| Nuclear AR H-score category | Low (<median) | 61 | 12.4 | 33.4 |
| High (≥median) | 73 | 18.9 | 56.2 |
| Clinical group | Primary localized PC | 12 | 48 | ≥60 |
| Hormone-naïve bone metastases | 14 | 30 | 48 |
| Short-term castration metastases | 4 | 18 | 28 |
| CRPC bone metastases | 104 | 9 | 16 |
Table 6: Kaplan-Meier survival summaries by AR H-score category and clinical group. Median PFS and OS estimates are shown for AR-low versus AR-high strata within the 134-case malignant survival cohort and for the clinical disease groups. MCA curves are displayed separately in Figure 6.
Abbreviations: PFS, progression-free survival; OS, overall survival.
| Table 7. Multivariable Cox proportional-hazards models for PFS and OS |
| Predictor | PFS — adjusted HR (95% CI) | p value | OS — adjusted HR (95% CI) | p value |
| AR expression (per 50 H-score) | 0.78 (0.66–0.92) | 0.003 | 0.81 (0.68–0.97) | 0.021 |
| AR promoter methylation (per 10% increase) | 1.12 (1.04–1.21) | 0.004 | 1.10 (1.02–1.19) | 0.015 |
| Age at diagnosis (per 5 years) | 1.06 (0.98–1.14) | 0.135 | 1.07 (0.99–1.15) | 0.092 |
| log(PSA) | 1.18 (1.05–1.33) | 0.006 | 1.16 (1.03–1.32) | 0.017 |
| Gleason score ≥8 | 1.45 (1.02–2.07) | 0.039 | 1.41 (0.98–2.04) | 0.064 |
| ECOG ≥2 | 1.60 (1.10–2.34) | 0.014 | 1.55 (1.05–2.31) | 0.028 |
| Metastatic site — visceral vs bone-only | 1.72 (1.21–2.46) | 0.003 | 1.68 (1.17–2.41) | 0.005 |
| Hemoglobin (per 1 g/dL decrease) | 1.14 (1.04–1.25) | 0.007 | 1.12 (1.02–1.23) | 0.015 |
| ALP (per 50 U/L) | 1.07 (1.02–1.13) | 0.008 | 1.06 (1.01–1.12) | 0.024 |
| LDH (per 50 U/L) | 1.05 (1.01–1.09) | 0.021 | 1.04 (1.00–1.08) | 0.046 |
| NLR (per 1 unit) | 1.08 (1.02–1.15) | 0.012 | 1.07 (1.01–1.14) | 0.018 |
Table 7: Multivariable Cox regression for progression-free and overall survival. Adjusted hazard ratios and 95% confidence intervals are reported for nuclear AR H-score (per 50-point increase), AR promoter methylation, age, PSA, Gleason category, ECOG status, metastatic site, hemoglobin, alkaline phosphatase, lactate dehydrogenase, and neutrophil-to-lymphocyte ratio.
NOTE: HR <1 indicates a lower hazard and HR >1 a higher hazard for the specified unit/category.
Abbreviations: PFS, progression-free survival; OS, overall survival; ALP, alkaline phosphatase; LDH, lactate dehydrogenase; NLR, neutrophil-to-lymphocyte ratio.
| Table 8. ANOVA model for PSA level |
| Source / effect | SS | df | MS | F | p value | Partial η2 | Interpretation |
| Clinical group | 8257.9 | 4 | 2064.5 | 19.2 | <0.001 | 0.361 | Large effect |
| AR category | 1795.7 | 1 | 1795.7 | 16.7 | <0.001 | 0.109 | Moderate effect |
| Metastatic status | 1053.7 | 1 | 1053.7 | 9.8 | 0.002 | 0.067 | Small-to-moderate effect |
| Gleason score category | 924.7 | 1 | 924.7 | 8.6 | 0.004 | 0.059 | Small-to-moderate effect |
| Clinical group × AR category | 1849.4 | 4 | 462.4 | 4.3 | 0.003 | 0.112 | Moderate interaction |
| AR category × metastatic status | 440.9 | 1 | 440.9 | 4.1 | 0.045 | 0.029 | Small effect |
| Error | 14623.4 | 136 | 107.5 | — | — | — | — |
Table 8: ANOVA model for PSA levels: main and interaction effects. Sum of squares, degrees of freedom, mean squares, F statistics, p values, and partial η2 are reported for clinical group, AR category defined by the median H-score, metastatic status, Gleason score category, group × AR category, and AR category × metastatic status. The corresponding effect sizes are visualized in Figure 8.
NOTE: Residual term, SS = 14,623.4, df = 136, MS = 107.5. Partial η2 was calculated as (F × df_effect) / (F × df_effect + df_error).
| Table 9. Multivariable logistic-regression predictors of high nuclear AR H-score |
| Predictor | OR | 95% CI | p value | Significance |
| Gleason score ≥8 | 3.42 | 1.82–6.44 | <0.001 | Significant |
| PSA >20 ng/mL | 2.91 | 1.58–5.36 | 0.001 | Significant |
| Metastatic status | 4.1 | 2.01–8.36 | <0.001 | Significant |
| Bone-only metastases | 2.12 | 1.08–4.16 | 0.028 | Significant |
| Visceral metastases | 3.76 | 1.82–7.78 | <0.001 | Significant |
| Short-term castration metastases | 1.84 | 0.45–7.53 | 0.390 | Not significant |
| Age (years) | 1.02 | 0.98–1.05 | 0.290 | Not significant |
| AR promoter methylation < median | 2.58 | 1.34–4.96 | 0.005 | Significant |
| ECOG ≥2 | 2.01 | 1.10–3.68 | 0.023 | Significant |
| Hemoglobin <12 g/dL | 2.46 | 1.25–4.84 | 0.009 | Significant |
Table 9: Logistic regression predictors of high nuclear AR H-score. Odds ratios are reported for Gleason ≥8, PSA >20 ng/mL, metastatic status, bone-only metastases, visceral metastases, ECOG ≥2, hemoglobin <12 g/dL, and AR promoter methylation < median as candidate predictors of the AR-high category; age and short-term castration metastasis status are also included in the model.
| Table 10. Conceptual classification and clinical relevance of representative prostate cancer biomarkers |
| Biomarker category | Representative examples | Primary clinical role | Typical endpoints / use | Key source(s) |
| Diagnostic / detection-risk | PSA-derived tests, PHI, 4Kscore, PCA3, SelectMDx, ExoDx | Identify or refine the probability of clinically significant prostate cancer and support biopsy-related decisions | Cancer detection; clinically significant disease; biopsy decision support | Refs. 12–13 |
| Prognostic — liquid biopsy | ctDNA burden/alterations; circulating tumor cells (CTCs) | Estimate risk of progression or death and monitor molecular evolution | PFS, OS, progression risk, longitudinal disease monitoring | Ref. 13 |
| Prognostic — inflammatory | Neutrophil-to-lymphocyte ratio (NLR); platelet-to-lymphocyte ratio (PLR) | Provide host inflammatory/immune context for risk stratification | Overall mortality and progression risk; evidence remains heterogeneous | Ref. 16 |
| Prognostic — tissue genomic | Decipher, Genomic Prostate Score (GPS), Prolaris | Refine risk beyond conventional clinicopathologic classification | Biochemical recurrence, metastasis, prostate cancer-specific mortality | Ref. 15 |
| Prognostic — present study | Nuclear AR H-score; AR promoter methylation; AR Methylation Classifier (MCA) | Explore prognostic stratification based on association with clinical outcomes | PFS and OS; directly evaluated in the present cohort | Present study; Refs. 19 and 34 |
| Predictive | Biomarker showing a treatment-by-biomarker interaction | Identify differential benefit or harm from a specific treatment | Treatment-specific response/benefit; requires interaction-based validation | Conceptual distinction: Ref. 12 |
Table 10: Conceptual classification and clinical relevance of representative prostate cancer biomarkers. Summary of diagnostic, prognostic, and predictive biomarker categories, representative examples, principal clinical endpoints, and the role of AR expression/MCA in the present study.