Introduction
Acute decompensation (AD) of cirrhosis encompasses ascites, hepatic encephalopathy, variceal hemorrhage, and bacterial infections, and is the leading cause of hospitalization in chronic liver disease.1 The natural history is heterogeneous: some patients stabilize, while others progress to acute-on-chronic liver failure (ACLF), defined by organ failures and short-term mortality exceeding 30%.1 Portal hypertension, portosystemic shunting, and associated renal or pulmonary dysfunction contribute to the clinical complexity of decompensated cirrhosis.2,3 The PREDICT study identified three clinical trajectories—pre-ACLF, unstable decompensated cirrhosis (UDC), and stable decompensated cirrhosis (SDC)—demonstrating that the AD-to-ACLF transition is a critical inflection point.4 However, trajectory assignment is inherently retrospective and cannot guide early decision-making.
Established severity scores—The Model for End-Stage Liver Disease (MELD) and Chronic Liver Failure Consortium Acute Decompensation (CLIF-C AD)—support prognostic assessment in cirrhosis and acute decompensation.5,6 Recent work has compared conventional and newer prognostic scores for long-term mortality in hospitalized patients with cirrhosis.7 Immune dysfunction in advanced cirrhosis involves inflammatory activation, impaired cellular immunity, and susceptibility to infection.8 Depletion of hepatic synthetic reserves can further compromise the host response.8 These observations suggest three interconnected but distinct pathophysiological mechanisms—hyperinflammation, immunoparalysis, and defense-reserve depletion—that may collectively govern progression from AD to ACLF.
Cao et al. classified inflammatory markers into type-1, -2, and -3 subtypes and demonstrated their association with AD severity.9 The CLIF Consortium developed a 28-gene systemic inflammation score associated with clinical severity.10 However, these approaches either rely on a priori classifications that do not formally test latent structure, or require specialized platforms not routinely available. To our knowledge, no study has applied formal latent variable methods to discover data-driven immunological dimensions from routine or near-routine biomarkers in AD, or demonstrated that such dimensions improve ACLF prediction beyond established scores.
We designed an ambispective cohort study with three objectives: to construct three mechanistic dimensions from 11 biomarkers using exploratory and confirmatory factor analysis in a prospective discovery cohort and evaluate them in a same-center historical cohort; to identify unsupervised immune-metabolic phenotypes and characterize their associations with 90-day ACLF and mortality; and to evaluate whether adding dimension scores to MELD or CLIF-C AD provides incremental predictive value, using Fine-Gray competing-risks and Cox proportional hazards models.
Methods
Study design and analysis populations
This ambispective, single-center study included a prospective discovery cohort (485 patients, January 2024–September 2025) and a retrospectively assembled historical evaluation cohort (623 patients, December 2019–December 2023). The later cohort provided complete coverage of the 11-marker domain and was used for dimension construction and prediction development; the primary evaluation applied the frozen models to the earlier cohort. Both cohorts and their outcomes had been examined in previous analyses. The complementary forward chronological analysis was also performed. The study followed the 1975 Declaration of Helsinki and received Second Hospital of Nanjing ethics approval (2023-LY-ky-056), covering prospective enrollment and retrospective secondary use; written informed consent was obtained. Patient flow, cohort completeness, and comparative baseline characteristics appear in Figure 1 and Supplementary Tables 1–2.
Eligible patients were aged 18–80 years with cirrhosis and admission for AD: grade 2–3 ascites, hepatic encephalopathy, gastrointestinal bleeding, clinically diagnosed bacterial infection, or combinations thereof. Infection required compatible symptoms/signs with imaging evidence and/or elevated inflammatory markers and was recorded as an admission trigger; microbiological confirmation was not required. Exclusions were admission ACLF by the European Association for the Study of the Liver (EASL)-CLIF criteria, prior liver transplantation, active systemic immunosuppression, hepatocellular carcinoma beyond Milan criteria,12 extrahepatic malignancy, and pregnancy.1 Screen-positive SARS-CoV-2 patients were routed outside the hepatology ward. Full cohorts supported descriptive and association analyses; primary complete-panel prediction evaluation used 515 historical patients. Construct-validity analyses used 196 historical patients with lymphocyte-subset measurements.
The exploratory external-center cohort comprised Drum Tower Hospital admissions during January–December 2025. Among 406 screened patients, exclusions comprised 6 with admission ACLF, 156 without complete 90-day follow-up, and 65 missing at least 6 of 11 model variables, leaving 179. The common 4-/5-marker evaluation set contained 166 patients. Ethics approval was obtained from the Ethics Committee of Nanjing Drum Tower Hospital (approval number: 2025-0479-02); broad written consent covered secondary use, with study-specific consent waived.
Outcomes and follow-up
Admission defined time zero. The primary endpoint was incident ACLF within 90 days, determined using EASL-CLIF criteria and the CLIF-C Organ Failure framework for liver, kidney, brain, coagulation, circulation, and respiration.1,13 Incident 28-day ACLF was exploratory; 90-day all-cause mortality was secondary. Outcome ascertainment was independent of biomarker measurements. For ACLF, death or transplantation before ACLF remained competing events. For mortality, transplantation was a censoring event. Analyses used event and follow-up times within the corresponding 28- or 90-day window.
Measurements, preprocessing, and missing data
Admission blood (T0) was collected within approximately two hours and before treatment. Routine tests, including albumin, used this sample. The 12-cytokine panel was measured by multiplex fluorescence immunoassay14 (Cellgene Biotech, Jiangxi; P110100403; NMPA 20192400359); complement component 3 (C3), C4, immunoglobulin A (IgA), IgG, and IgM by immunoturbidimetry (Abbott ARCHITECT c16000; Fosun reagents).15 Samples were fresh and analyzed in the same central laboratory under standardized protocols. Total cholesterol, triglycerides, low-density lipoprotein cholesterol (LDL-C), high-density lipoprotein cholesterol (HDL-C), apolipoprotein A-I (ApoA-I), apolipoprotein B, and lipoprotein(a) came from the first fasting draw, usually hospital day 1–2. Medication/procedure records identified intervening albumin, systemic antibacterials, other intravenous fluid ≥ 500 mL, intravenous diuretics and/or large-volume paracentesis, vasoactive therapy, and artificial liver support and/or renal replacement therapy; categories could overlap. Child–Pugh class was derived from total bilirubin, albumin, international normalized ratio (INR), ascites, and hepatic encephalopathy for baseline severity description (Table 1).16 MELD-Na incorporated serum sodium into MELD for descriptive between-cohort comparisons (Supplementary Table 2).11
Table 1Baseline characteristics at admission (T0) in the discovery cohort, stratified by 90-day incident ACLF
| Variable | Overall (n = 485) | Incident ACLF (n = 120) | No ACLF (n = 365) | P | SMD |
|---|
| Demographics | | | | | |
| Age, years | 55.5 ± 11.6 | 54.3 ± 11.8 | 55.9 ± 11.5 | 0.192 | 0.140 |
| Sex, female | 207 (42.7) | 52 (43.3) | 155 (42.5) | 0.952 | 0.018 |
| Cirrhosis etiology and comorbidities | | | | | |
| Cirrhosis etiology | | | | 0.675 | |
| Hepatitis B/C | 239 (49.3) | 55 (45.8) | 184 (50.4) | | 0.092 |
| Alcohol | 77 (15.9) | 17 (14.2) | 60 (16.4) | | 0.062 |
| AIH | 28 (5.8) | 8 (6.7) | 20 (5.5) | | 0.051 |
| MASLD | 20 (4.1) | 8 (6.7) | 12 (3.3) | | 0.170 |
| PBC | 27 (5.6) | 8 (6.7) | 19 (5.2) | | 0.064 |
| Multiple | 23 (4.7) | 5 (4.2) | 18 (4.9) | | 0.036 |
| Others | 71 (14.6) | 19 (15.8) | 52 (14.2) | | 0.045 |
| Previous AD of cirrhosis | 164 (33.8) | 44 (36.7) | 120 (32.9) | 0.516 | 0.080 |
| Previous ACLF | 5 (1.0) | 2 (1.7) | 3 (0.8) | 0.601 | 0.084 |
| HCC (within Milan) | 26 (5.4) | 5 (4.2) | 21 (5.8) | 0.663 | 0.070 |
| Splenectomy | 45 (9.3) | 12 (10.0) | 33 (9.0) | 0.894 | 0.033 |
| TIPS history | 21 (4.3) | 5 (4.2) | 16 (4.4) | 1.000 | 0.011 |
| AD trigger eventsa | | | | | |
| Infection | 151 (31.1) | 46 (38.3) | 105 (28.8) | 0.064 | 0.207 |
| Ascites | 398 (82.1) | 95 (79.2) | 303 (83.0) | 0.415 | 0.100 |
| Gastrointestinal bleeding | 50 (10.3) | 10 (8.3) | 40 (11.0) | 0.517 | 0.086 |
| Hepatic encephalopathy | 47 (9.7) | 21 (17.5) | 26 (7.1) | 0.002 | 0.351 |
| Routine laboratory values | | | | | |
| WBC, ×109/L | 4.1 [2.8, 7.1] | 5.3 [3.1, 7.9] | 4.0 [2.7, 6.5] | 0.013 | 0.242 |
| PLT, ×109/L | 72 [48, 116] | 62 [39, 90] | 76 [50, 120] | 0.002 | 0.318 |
| CRP, mg/L | 15.3 [9.0, 27.3] | 20.2 [10.4, 39.2] | 14.4 [8.5, 23.9] | <0.001 | 0.418 |
| Neutrophil, % | 63.5 ± 14.8 | 67.6 ± 15.0 | 62.2 ± 14.5 | <0.001 | 0.369 |
| Hemoglobin, g/L | 109 ± 27 | 101 ± 29 | 112 ± 27 | <0.001 | 0.401 |
| INR | 1.3 [1.1, 1.7] | 1.5 [1.2, 1.8] | 1.3 [1.1, 1.6] | <0.001 | 0.410 |
| ALT, U/L | 32.2 [12.3, 83.9] | 38.7 [11.0, 125.0] | 29.9 [12.9, 75.9] | 0.074 | 0.173 |
| AST, U/L | 44.6 [21.9, 95.6] | 63.5 [28.3, 134.6] | 39.7 [20.2, 82.0] | <0.001 | 0.369 |
| ALP, U/L | 113.5 [76.0, 171.3] | 129.4 [80.3, 194.3] | 111.0 [74.3, 161.6] | 0.055 | 0.202 |
| GGT, U/L | 54.3 [28.8, 111.6] | 57.3 [34.0, 111.8] | 52.8 [27.1, 111.6] | 0.210 | 0.137 |
| Total bilirubin, µmol/L | 47.6 [23.2, 105.6] | 75.4 [34.6, 162.1] | 41.9 [22.2, 90.9] | <0.001 | 0.433 |
| Albumin, g/L | 32.1 ± 6.0 | 29.6 ± 5.4 | 33.0 ± 6.0 | <0.001 | 0.569 |
| Creatinine, µmol/L | 65.0 [41.7, 106.5] | 80.3 [47.3, 129.6] | 61.2 [39.8, 94.7] | <0.001 | 0.414 |
| BUN, mmol/L | 5.0 [3.0, 7.8] | 5.5 [3.6, 8.8] | 4.9 [2.8, 7.5] | 0.026 | 0.219 |
| Sodium, mmol/L | 138.8 ± 5.6 | 136.6 ± 5.4 | 139.5 ± 5.5 | <0.001 | 0.534 |
| Lactate, mmol/L | 2.7 [2.2, 3.5] | 3.0 [2.3, 3.6] | 2.6 [2.1, 3.4] | 0.051 | 0.181 |
| Glucose, mmol/L | 5.3 [3.2, 8.6] | 5.4 [3.2, 9.0] | 5.3 [3.2, 8.4] | 0.704 | 0.041 |
| Uric acid, µmol/L | 262 [191, 359] | 298 [212, 364] | 252 [182, 353] | 0.026 | 0.218 |
| LDH, U/L | 200 [146, 304] | 210 [150, 344] | 197 [145, 282] | 0.070 | 0.242 |
| PT, seconds | 15.1 [12.2, 18.7] | 17.0 [12.7, 20.4] | 14.4 [12.0, 18.1] | <0.001 | 0.383 |
| Key mechanistic biomarkersb | | | | | |
| IL-6, pg/mL | 15.1 [3.8, 44.6] | 28.9 [9.4, 69.5] | 11.9 [2.8, 38.3] | <0.001 | 0.455 |
| IL-10, pg/mL | 2.5 [0.7, 7.7] | 4.3 [1.2, 12.4] | 2.3 [0.6, 6.2] | <0.001 | 0.382 |
| TNF-α, pg/mL | 0.70 [0.13, 2.51] | 1.44 [0.50, 2.91] | 0.54 [0.07, 1.90] | <0.001 | 0.531 |
| HDL-C, mmol/L | 0.83 [0.58, 1.20] | 0.73 [0.43, 0.98] | 0.88 [0.61, 1.35] | <0.001 | 0.549 |
| ApoA-I, g/L | 0.78 [0.50, 1.04] | 0.64 [0.23, 0.91] | 0.82 [0.57, 1.10] | <0.001 | 0.567 |
| C3, g/L | 0.78 [0.58, 1.04] | 0.66 [0.50, 0.96] | 0.83 [0.63, 1.07] | <0.001 | 0.435 |
| Clinical scores | | | | | |
| Child–Pugh class | | | | <0.001 | |
| A | 92 (19.0) | 12 (10.0) | 80 (21.9) | | 0.304 |
| B | 259 (53.4) | 51 (42.5) | 208 (57.0) | | 0.290 |
| C | 134 (27.6) | 57 (47.5) | 77 (21.1) | | 0.590 |
| MELD | 16.8 ± 7.3 | 20.3 ± 7.8 | 15.7 ± 6.8 | <0.001 | 0.659 |
| CLIF-C AD | 43.8 ± 12.0 | 48.4 ± 12.7 | 42.3 ± 11.4 | <0.001 | 0.520 |
| 90-day follow-up outcomes (not baseline) | | | | | |
| 90-day mortality | 82 (16.9) | 65 (54.2) | 17 (4.7) | | |
| Liver transplantation | 5 (1.0) | 1 (0.8) | 4 (1.1) | | |
Cytokines ≤ 0.01 pg/mL were replaced by 0.005 pg/mL.17 Candidate cytokines, C-reactive protein (CRP), absolute neutrophil count (ANC), lactate, complement/immunoglobulins, lipid markers, and platelets underwent ln(1+x) transformation; albumin and sodium remained untransformed. Discovery means and SDs defined z-scores.18 C3, C4, IgM, HDL-C, ApoA-I, and albumin were negated after standardization so higher scores represented worse status; IL-10 was not negated. Historical scoring retained these transformations and scaling parameters (Supplementary Tables 3–4). For full-cohort descriptive and association scoring with incomplete indicators, missing standardized indicators were replaced by medians from historical complete cases before applying frozen Bartlett weights.19 This procedure was separate from the primary complete-case prediction evaluation.
The sole sensitivity analysis addressed historical biomarker missingness using multiple imputation by chained equations.20 The full historical cohort was evaluated with 20 imputed datasets, predictive mean matching, 10 iterations, and seed set to 42. The imputation model used 73 predictors, encompassing demographic, clinical, and laboratory information while excluding outcomes, event/censoring times, and follow-up-window indicators. Discovery preprocessing, scoring weights, regression coefficients, and baseline functions remained fixed in every dataset; changes in area under the curve (AUC) were compared with complete-case evaluation.
Externally, cytokines were measured using the Jiangxi Saiji 12-plex assay (NMPA 20192400359) on a BD FACSCanto II14; complement/immunoglobulins using Siemens BN II immunonephelometry and manufacturer reagents.15 No numerical unit conversion was required.
Latent dimensions and exploratory clustering
Outcome variables were not included in factor construction or indicator selection. The three hypothesized dimensions represented innate inflammatory activation, impaired immune/complement competence, and depleted hepatic synthetic/lipid reserves. Exploratory factor analysis (EFA) considered 24 candidate biomarkers: CRP, ANC, interleukin-6 (IL-6), IL-8, IL-1β, tumor necrosis factor alpha (TNF-α), interferon-γ (IFN-γ), IL-17A, lactate, IL-10, C3, C4, IgM, IgA, IgG, IL-4, IL-5, IL-2, IFN-α, IL-12p70, HDL-C, ApoA-I, albumin, and platelets (Supplementary Table 4). Maximum-likelihood EFA used promax rotation (κ = 4).21,22 Factor-number evidence included the scree plot,23 Horn parallel analysis with 1,000 random reference datasets,24 and Velicer’s minimum average partial criterion,25 considered alongside the three hypothesized mechanisms (Supplementary Fig. 1).
Indicator retention required |λ| ≥ 0.30, a cross-loading gap ≥ 0.15, and bootstrap stability > 0.70. Albumin (λ = 0.29) and IgM (λ = 0.25) were retained through clinical override based on stability > 0.90, model identification, and biological roles. Six cytokines with > 60% of measurements at/below detection (IFN-α, IL-1β, IL-5, IL-12p70, IL-2, IL-4) were excluded from the final model. Loading stability used 1,000 bootstrap samples26 with Procrustes alignment to the original EFA solution.27 Maximum-likelihood confirmatory factor analysis (CFA) specified three correlated factors using the 11 retained indicators: CRP/ANC/IL-6/IL-8; IL-10/C3/C4/IgM; and HDL-C/ApoA-I/albumin, respectively, without cross-loadings or correlated residuals.28 Fit assessment used Comparative Fit Index (CFI), Tucker-Lewis Index (TLI), root mean square error of approximation (RMSEA), and standardized root mean square residual (SRMR).29 Historical CFA retained this structure and identification constraints to assess measurement agreement; its estimates did not replace the discovery scoring weights.
Bartlett scores were weighted sums of standardized, direction-harmonized indicators, using discovery-derived weights for both cohorts.19 Gaussian mixture modeling (GMM) then clustered the three continuous scores.30 Candidate solutions used K = 2–6 with full or tied covariance matrices; Bayesian Information Criterion (BIC)30 selected the three-class full-covariance solution (Supplementary Fig. 2). Labels P1–P3 followed increasing mean reserve depletion. Assignment used maximum posterior probability (p_max); p_max < 0.60 flagged uncertainty without removing patients. Mixture means, covariances, and class probabilities were frozen for historical assignment. Phenotypes supported description and association; prediction used continuous scores.
Association analyses
Cohort-specific associations were estimated separately from prediction development. Fine–Gray regression estimated subdistribution hazard ratios (sHRs) for 28-/90-day ACLF with competing death/transplantation; Cox regression estimated hazard ratios for 90-day mortality with transplant censoring.31,32 Dimension models included all three scores, scaled per discovery-cohort standard deviation (SD), and adjusted for age, sex, and admission infection. Phenotype models used P1 as reference with the same adjustment. Estimates and 95% confidence intervals (CIs) describe associations rather than frozen predictive performance. Phenotype-specific cumulative incidence functions used competing-risk estimation and Gray tests33,34; survival curves used Kaplan–Meier estimation18 and log-rank tests.18
Global and covariate-specific proportional-hazards diagnostics were reported for Cox and Fine–Gray Cox diagnostics used scaled Schoenfeld residuals and tests of their relationship with time.35 Retained diagnostic analyses included Cox models split at day 30 with separate baseline hazards by period.18,32 Phenotype-specific restricted mean survival time, the area under the survival curve through day 90, was estimated using survRM2; pairwise differences were expressed in days, with two-sided inference from 1,000 bootstrap.26,36
Prediction development and frozen evaluation
Five prediction specifications evaluated MELD and CLIF-C AD in parallel5,6: FS0-MELD and FS0-CLIF-C AD contained the respective clinical score; FS1 contained the three dimensions; FS2-MELD and FS2-CLIF-C AD combined dimensions with the respective score. Each specification additionally included age, sex, and admission infection, selected for their established prognostic relevance. Models used raw Bartlett scores; per-SD scaling applied to association reporting. Fine–Gray models predicted 28-/90-day ACLF, and Cox models predicted 90-day mortality. The reported implementation used survival version 3.5-8, with finegray-expanded data and coxph for Fine–Gray estimation and coxph for mortality (Supplementary Table 5).31,32
All coefficients and baseline functions were estimated in discovery. For covariate vector X and coefficient vector β, ACLF risk was 1−[1−CIF0(t)]exp(Xβ), and mortality risk was 1−S0(t)exp(Xβ).31,32 CIF0(t) and S0(t) are the baseline cumulative incidence and survival functions at X = 0 under the reported variable coding, rather than risks for a clinically representative patient. The same discovery preprocessing, Bartlett mapping, coefficients, and baseline functions generated historical complete-case predictions without refitting or recalibration. Calibration models evaluated these fixed risks; their estimates were not used to update predictions. Reduced-panel score definitions and prediction parameters followed the same discovery-to-evaluation freezing principle. External outcomes were not used for marker reselection, fitting, recalibration, or threshold adjustment.
Performance assessment and statistical inference
Discrimination and prediction error were evaluated at the corresponding horizon with time-dependent AUC and Brier scores. ACLF metrics were measured using competing-risk methods, retaining deaths/transplants before ACLF in evaluation; mortality metrics using survival methods with transplant censoring.37,38 Thus, ACLF performance concerned predicted cumulative incidence rather than a binary analysis after excluding competing events. Brier scores summarized squared prediction error, with lower values indicating better overall prediction. Calibration assessment included observed-to-expected event ratios, slopes, calibration-in-the-large (CITL), and calibration curves.39 Ideal O/E and slope values were 1, and ideal CITL was 0. Historical ACLF calibration additionally used Locally Estimated Scatterplot Smoothing (LOESS) to obtain the smoothed observed-risk curve.40 Absolute differences between this curve and predicted risks were summarized by their mean (integrated calibration index, ICI), median (E50), and 90th percentile (E90), following the definitions of these calibration-error summaries; lower values indicated less calibration error.41 These were diagnostic summaries of the frozen predictions.
Decision curves evaluated net benefit across risk thresholds against treating all or no patients at the same horizon.42 Incremental performance used paired AUC and Brier differences between models evaluated in the same patients. Patient-level bootstrap resampling used 1,000 samples unless otherwise specified, preserving each patient’s paired predictions and outcome record; 95% CIs summarized sampling uncertainty.26 Positive ΔAUC and negative ΔBrier favored the augmented model; reduced-panel comparisons were defined as reduced minus full-panel performance.
Continuous variables were summarized as mean ± SD or median (interquartile range [IQR]), and categorical variables as n (%), using available observations. Descriptive comparisons used Student’s t or Wilcoxon rank-sum tests, Kruskal–Wallis tests across phenotypes, and χ2 or Fisher tests for categorical variables.18 Standardized mean differences used Cohen’s d,43 with skewed variables assessed after log transformation and categorical differences by category. Baseline P values were descriptive without multiplicity adjustment. For construct-validity analyses, Benjamini–Hochberg false-discovery-rate (FDR) correction was used to the 6 tests within each dimension.44 Analyses were performed using R 4.5.2 and Python 3.11 with deterministic seeds. Reporting followed Strengthening the Reporting of Observational Studies in Epidemiology (STROBE) and the Transparent Reporting of a multivariable prediction model for Individual Prognosis Or Diagnosis (TRIPOD).45,46
Additional retained analyses
Reduced panels comprised 6 markers (CRP, IL-6, IL-10, C3, HDL-C, ApoA-I), five markers (CRP, ANC, C3, HDL-C, albumin), four markers (CRP, C3, HDL-C, albumin), and a three-marker lower-bound panel (CRP, C3, albumin). Discovery-defined score mappings were compared with the original scores by Pearson correlation in both cohorts.18 Frozen discrimination, Brier score, calibration, and paired differences for ACLF and mortality were evaluated in the common 515-patient historical set. External evaluation used the internally defined 4-/5-marker models in the common 166 patients; 6-/11-marker availability was described without full-panel external validation. External case-mix comparisons were descriptive, without inferential between-cohort testing.
The complementary chronological analysis developed preprocessing, measurement scores, and prediction models in the 515 earlier complete cases, then applied their fixed parameters to the 485 later prospectively collected patients without refitting/recalibration. Measurement agreement included Tucker congruence; frozen performance covered 90-day ACLF and mortality (Supplementary Table 18).47 This was a supplementary evaluation in a later single-center temporal cohort, not the original primary design.
Exploratory heterogeneity analyses separated association interactions from subgroup prediction.18,31,32 Etiology was viral hepatitis, alcohol-related liver disease, or other causes; metabolic dysfunction-associated steatotic liver disease and less common etiologies remained in the other category because event support was insufficient for separate strata. Joint 6-degree-of-freedom, dimension-by-etiology tests were carried out using pooled and cohort-specific models, with adjustment for MELD, age, sex, and admission infection, with cohort period added in pooled models; frozen subgroup prediction using historical complete cases (Supplementary Table 20). Infection analyses were performed in 1,000 complete-panel patients, using models including all three dimensions and their infection interactions, with adjustment for MELD, age, sex, and cohort period; a joint test evaluated the three interaction terms for ACLF and mortality. Historical policy-period analyses distinguished pre-February 2020, universal pre-ward testing during February 2020–December 2022, and symptom/clinical-feature-based screening during January–December 2023. Joint dimension-by-period tests and period-specific prediction were exploratory; incomplete individual SARS-CoV-2 status was not directly adjusted. Period comparisons of cytokines were performed using Kruskal–Wallis tests and Benjamini–Hochberg correction across the 12 cytokines.44
Construct validity related scores to flow-cytometry T-, B-, and natural killer-cell counts and CD4/CD8 ratio14 in 196 historical patients using Spearman correlations and Hodges–Lehmann contrasts between quartile 4 and quartile 1 of the score within each subgroup.18,48 Percentile bootstrap CIs were generated using 1,000 samples,26 with FDR correction as described above. Descriptive PREDICTing Acute-on-Chronic Liver Failure (PREDICT) trajectory cross-tabulations mapped phenotypes to pre-ACLF (ACLF within 90 days), stable decompensated cirrhosis (no ACLF, death, transplantation, or readmission within 90 days), or unstable decompensated cirrhosis (remaining patients), retaining uncertain phenotype assignments.4
Results
Patient characteristics
Between January 2024 and September 2025, 485 patients with acutely decompensated cirrhosis were prospectively enrolled in the discovery cohort; 623 patients admitted between December 2019 and December 2023 comprised the same-center historical evaluation cohort. In the discovery cohort, hepatitis B/C was the leading etiology (49.3%), mean age was 55.5 ± 11.6 years, and 57.3% were male. A bacterial infection diagnosed clinically and recorded as an AD trigger was present in 151/485 patients (31.1%) in the discovery cohort and 189/623 patients (30.3%) in the historical evaluation cohort (Supplementary Tables 6 and 7). Alcohol-related cirrhosis accounted for 15.9% of the discovery cohort and 17.3% of the historical evaluation cohort.
Between T0 and the first fasting blood draw, 443/1,108 patients (40.0%) received at least one recorded treatment. The recorded categories comprised albumin infusion, systemic antibacterial therapy, other intravenous fluid ≥ 500 mL, intravenous diuretic therapy and/or large-volume paracentesis, vasoactive therapy, and artificial liver support and/or renal replacement therapy; 112/1,108 patients (10.1%) received albumin infusion (Supplementary Table 8).
During 90-day follow-up, 120 patients (24.7%) in the discovery cohort developed incident ACLF, 82 (16.9%) died, and 5 (1.0%) underwent liver transplantation. Event rates were comparable in the historical evaluation cohort (90-day ACLF, 154 [24.7%]; mortality, 112 [18.0%]). All pairwise standardized mean differences were below 0.20, indicating broadly similar profiles across the measured admission characteristics (Table 1; Supplementary Tables 2 and 7).
Three mechanistic dimensions
EFA reduced 24 candidate biomarkers to 11 indicators organized into three dimensions: hyperinflammation, immunoparalysis, and defense-reserve depletion. The three-factor CFA showed acceptable fit in the discovery cohort (CFI = 0.954, TLI = 0.938, RMSEA = 0.066). Model fit was maintained and numerically improved in the historical evaluation cohort (CFI = 0.974, TLI = 0.965, RMSEA = 0.050; ΔCFI = +0.020). Correlations between the dimensions were moderate (hyperinflammation–immunoparalysis, 0.483; immunoparalysis–defense-reserve depletion, 0.409; hyperinflammation–defense-reserve depletion, 0.276). The dimensions therefore shared information but were not interchangeable, supporting their interpretation as complementary rather than redundant immune-metabolic features (Table 2; Fig. 2A–D; Supplementary Table 4).4,18,19,28
Table 2Indicators defining the three immune-metabolic dimensions: standardized CFA loadings in the discovery cohort
| Dimension (mechanism) | Indicator | Standardized loading (λ) | R2 |
|---|
| Hyperinflammation (innate / acute-phase activation) | CRP | 0.662 | 0.438 |
| ANC | 0.672 | 0.451 |
| IL-6 | 0.678 | 0.460 |
| IL-8 | 0.590 | 0.348 |
| Immunoparalysis (adaptive & complement competence) | IL-10 | 0.551 | 0.303 |
| C3 | 0.735 | 0.540 |
| C4 | 0.561 | 0.315 |
| IgM | −0.366 | 0.134 |
| Defense-reserve depletion (hepatic synthetic & lipid transport) | HDL-C | 0.946 | 0.895 |
| ApoA-I | 0.971 | 0.943 |
| ALB | 0.488 | 0.238 |
Unsupervised phenotypes
GMM identified three phenotypes with a graded severity pattern
GMM translated the continuous dimension scores into three patient phenotypes, with K = 3 providing the optimal solution (BIC = 3,432.5; Supplementary Fig. 2). In the discovery cohort, P1, P2, and P3 included 140 (28.9%), 320 (66.0%), and 25 (5.2%) patients, respectively. Corresponding historical evaluation counts were 152 (24.4%), 447 (71.7%), and 24 (3.9%), showing a similar phenotype distribution across cohorts. P3 patients had the highest scores across all three dimensions and a markedly higher median MELD score than P1 patients (27.2 versus 13.0). Assignment uncertainty (p_max < 0.60) was the highest in P1 (20.7% in discovery and 39.5% in historical evaluation) and the lowest in P3 (0.0% and 4.2%, respectively). The low uncertainty in P3 indicates that the Depleted phenotype was the most distinctly separated group in the three-dimensional score space (Fig. 3A, B; Supplementary Table 9).18,30,34
Phenotype–outcome associations
In mutually adjusted Fine-Gray models, all three dimension scores were independently associated with 90-day ACLF in both cohorts (Table 3). In the discovery cohort, each 1-SD increase in hyperinflammation and immunoparalysis was associated with sHRs of 1.30 (95% CI, 1.07–1.58; P = 0.008) and 1.44 (95% CI, 1.15–1.81; P = 0.002), respectively. Defense-reserve depletion showed a similar association (sHR, 1.40; 95% CI, 1.14–1.71; P = 0.001). The corresponding historical evaluation estimates were 1.74 (95% CI, 1.50–2.02), 1.92 (95% CI, 1.56–2.35), and 1.40 (95% CI, 1.19–1.65), respectively (all P < 0.001). The simultaneous associations of all three dimensions indicate that each captured a complementary component of ACLF risk.
Table 3Association of mechanistic dimension scores and phenotypes with 90-day ACLF and 90-day mortality in the discovery and historical evaluation cohorts
| Exposure | Discovery cohort
| Historical evaluation cohort
|
|---|
| sHR (95% CI) | P value | sHR (95% CI) | P value |
|---|
| 90-day ACLF (Fine–Gray subdistribution hazard model)a |
| Dimension scores (per 1-SD) | | | | |
| Hyperinflammation | 1.30 (1.07–1.58) | 0.008 | 1.74 (1.50–2.02) | <0.001 |
| Immunoparalysis | 1.44 (1.15–1.81) | 0.002 | 1.92 (1.56–2.35) | <0.001 |
| Defense-reserve depletion | 1.40 (1.14–1.71) | 0.001 | 1.40 (1.19–1.65) | <0.001 |
| Phenotypes (ref = P1 Preserved) | | | | |
| P1 Preserved | 1 (ref) | — | 1 (ref) | — |
| P2 Intermediate | 2.53 (1.50–4.25) | <0.001 | 3.19 (1.86–5.45) | <0.001 |
| P3 Depleted | 5.49 (2.94–10.27) | <0.001 | 5.58 (3.22–9.66) | <0.001 |
| Exposure | Discovery cohort
| Historical evaluation cohort
|
|---|
| HR (95% CI) | P value | HR (95% CI) | P value |
|---|
| 90-day mortality (Cox proportional hazards model)b |
| Dimension scores (per 1-SD) | | | | |
| Hyperinflammation | 1.45 (1.15–1.84) | 0.002 | 1.68 (1.41–2.00) | <0.001 |
| Immunoparalysis | 1.78 (1.34–2.39) | <0.001 | 2.29 (1.80–2.91) | <0.001 |
| Defense-reserve depletion | 1.76 (1.36–2.26) | <0.001 | 1.24 (1.03–1.50) | 0.022 |
| Phenotypes (ref = P1 Preserved) | | | | |
| P1 Preserved | 1 (ref) | — | 1 (ref) | — |
| P2 Intermediate | 5.84 (2.35–14.54) | <0.001 | 3.19 (1.71–5.96) | 0.011 |
| P3 Depleted | 14.06 (4.98–39.71) | <0.001 | 4.05 (2.22–7.39) | <0.001 |
Compared with P1, P3 was associated with substantially higher ACLF risk in both the discovery cohort (sHR, 5.49; 95% CI, 2.94–10.27) and the historical evaluation cohort (sHR, 5.58; 95% CI, 3.22–9.66; both P < 0.001). The 90-day cumulative incidence of ACLF increased from 12.1% in P1 to 27.8% in P2 and 56.0% in P3 in the discovery cohort. The same ordering was observed in the historical evaluation cohort (9.9%, 27.5%, and 66.7%, respectively; Fig. 3C).
Associations with 90-day mortality followed a similar pattern. Immunoparalysis showed the largest dimension-level association in both the discovery cohort (HR, 1.78; 95% CI, 1.34–2.39) and the historical evaluation cohort (HR, 2.29; 95% CI, 1.80–2.91; both P < 0.001). At the phenotype level, P3 was also associated with markedly higher mortality than P1 in the discovery cohort (HR, 14.06; 95% CI, 4.98–39.71) and the historical evaluation cohort (HR, 4.05; 95% CI, 2.22–7.39; Table 3; Fig. 3D; Supplementary Figs. 3–4).
Construct validity and clinical trajectories
Among 196 patients with lymphocyte-subset data, higher immunoparalysis scores were associated with lower CD3+ T-cell (ρ = −0.44), B-cell (ρ = −0.39), and NK-cell counts (ρ = −0.25; all q_FDR < 0.001). The inverse association was strongest for CD3+ T cells. By contrast, the CD4/CD8 ratio was not associated with the immunoparalysis score, a pattern consistent with broadly proportional reductions across lymphocyte compartments rather than a selective shift between CD4+ and CD8+ T cells (Fig. 2E; Supplementary Table 10).
P1 patients predominantly followed stable decompensated cirrhosis trajectories, whereas P3 patients were most frequently classified as pre-ACLF (Fig. 2F). Together, the immune-cell correlations and clinical trajectory mapping support the biological and clinical interpretability of the three-dimensional phenotypes. Detailed construct-validity statistics are provided in the Supplementary File 1.
Prediction performance
Adding dimension scores improved discrimination in the historical evaluation cohort, while calibration varied by outcome. For 90-day ACLF, the combined FS2-MELD model achieved an AUC of 0.793 (95% CI, 0.748–0.832), compared with 0.711 (95% CI, 0.661–0.756) for the clinical FS0-MELD model (ΔAUC = 0.082). FS2-CLIF showed similar discrimination (AUC, 0.791; 95% CI, 0.746–0.830). For 90-day mortality, the AUC increased from 0.754 (95% CI, 0.701–0.805) with FS0-MELD to 0.824 (95% CI, 0.777–0.863) with FS2-MELD (ΔAUC = 0.070). Results for 28-day ACLF were consistent (Table 4; Supplementary Table 11; Fig. 4A, B).37,38,42
Table 4Prediction performance of mechanistic dimension scores (FS1) and combined models (FS2) over clinical scores alone (FS0) for 28-day and 90-day ACLF and 90-day mortality in the discovery and historical evaluation cohorts
| Model | Discovery AUCa | Historical evaluation AUC (95% CI)b | ΔAUC vs. FS0-MELD | ΔAUC vs. FS0-CLIF | Discovery Brier | Historical evaluation Brier | Historical evaluation Cal. slope | Historical evaluation CITL |
|---|
| 90-day ACLF (Fine–Gray subdistribution hazard model) |
| FS0: MELD | 0.686 | 0.711 (0.661–0.756) | Ref | — | 0.1759 | 0.1902 | 1.359 | −0.121 |
| FS0: CLIF-C AD | 0.674 | 0.742 (0.695–0.784) | — | Ref | 0.1787 | 0.1824 | 1.599 | −0.108 |
| FS1: Dimensions | 0.725 | 0.776 (0.730–0.817) | 0.066 | 0.035 | 0.1698 | 0.1708 | 1.482 | 0.148 |
| FS2: MELD + Dim. | 0.740 | 0.793 (0.748–0.832) | 0.082 | — | 0.1670 | 0.1496 | 1.748 | −0.009 |
| FS2: CLIF-C AD + Dim. | 0.727 | 0.791 (0.746–0.830) | — | 0.049 | 0.1695 | 0.1504 | 1.695 | 0.055 |
| 28-day ACLF (Fine–Gray subdistribution hazard model) |
| FS0: MELD | 0.671 | 0.688 (0.636–0.736) | Ref | — | 0.1677 | 0.1667 | 1.252 | −0.071 |
| FS0: CLIF-C AD | 0.656 | 0.744 (0.695–0.786) | — | Ref | 0.1702 | 0.1584 | 1.699 | −0.057 |
| FS1: Dimensions | 0.698 | 0.780 (0.732–0.821) | 0.092 | 0.036 | 0.1650 | 0.1762 | 1.550 | 0.195 |
| FS2: MELD + Dim. | 0.713 | 0.790 (0.744–0.830) | 0.102 | — | 0.1636 | 0.1408 | 1.757 | 0.039 |
| FS2: CLIF-C AD + Dim. | 0.703 | 0.796 (0.749–0.835) | — | 0.052 | 0.1653 | 0.1465 | 1.781 | 0.100 |
| 90-day mortality (Cox proportional hazards model) |
| FS0: MELD | 0.744 | 0.754 (0.701–0.805) | Ref | — | 0.1239 | 0.1540 | 1.148 | −0.134 |
| FS0: CLIF-C AD | 0.712 | 0.756 (0.705–0.801) | — | Ref | 0.1272 | 0.1499 | 1.160 | −0.128 |
| FS1: Dimensions | 0.781 | 0.794 (0.743–0.837) | 0.040 | 0.038 | 0.1169 | 0.1235 | 0.940 | 0.082 |
| FS2: MELD + Dim. | 0.802 | 0.824 (0.777–0.863) | 0.070 | — | 0.1128 | 0.1201 | 1.243 | −0.062 |
| FS2: CLIF-C AD + Dim. | 0.784 | 0.811 (0.762–0.852) | — | 0.054 | 0.1162 | 0.1147 | 1.172 | −0.022 |
Cox mortality calibration slopes ranged from 0.940 to 1.243, whereas the Fine-Gray ACLF calibration slopes were higher, ranging from 1.359 to 1.748. The mortality slopes were closer to 1, while the ACLF slopes indicated less agreement between the predicted and observed spread of risk. Detailed calibration metrics are provided in Supplementary Table 12. Global Schoenfeld tests provided no evidence of violation of the proportional hazards assumption for any model (all P > 0.05; Supplementary Table 13). Exploratory time-stratified and RMST results are provided in Supplementary Table 14.
Decision-curve analysis showed higher net benefit for FS2 across clinically relevant thresholds (Fig. 4C, D).
After multiple imputation of missing biomarker values in the historical evaluation cohort, AUC changes across the augmented models were between −0.009 and −0.004, while the FS2 > FS1 > FS0 ordering was preserved (Supplementary Table 15). Supplementary Figures 5–6 provide the missing-data pattern and construct-validity displays, respectively.
Simplified marker panels
In the 515-patient historical evaluation set, 6-marker plus MELD and 11-marker plus MELD yielded ACLF AUCs of 0.797 (95% CI, 0.750–0.840) and 0.796 (95% CI, 0.750–0.840), respectively (paired ΔAUC, 0.001; 95% CI, −0.011 to 0.012), although the 6-marker panel still required IL-6 and IL-10. The 5-marker panel retained minimum score correlations of 0.856 in discovery and 0.851 in historical evaluation and achieved an AUC of 0.781 (95% CI, 0.730–0.828). Removing ANC reduced 4-marker hyperinflammation fidelity from 0.904 to 0.769 in discovery and from 0.931 to 0.814 in historical evaluation, leaving CRP as the sole indicator. Thus, the 4-marker panel was a parsimonious lower bound and the 5-marker panel the preferred clinically practical candidate; complete results are provided in Supplementary Table 16.
The frozen 4- and 5-marker models were applied without refitting or recalibration to the external-center cohort from Drum Tower Hospital, the Affiliated Hospital of Nanjing University Medical School (179 patients overall; 166 in the common performance set). For 90-day ACLF, the AUC and Brier score were 0.770 (95% CI, 0.686–0.847) and 0.188 (95% CI, 0.146–0.233) for MELD, 0.798 (95% CI, 0.710–0.877) and 0.171 (95% CI, 0.134–0.213) for 4-marker plus MELD, and 0.814 (95% CI, 0.724–0.894) and 0.168 (95% CI, 0.130–0.209) for 5-marker plus MELD, respectively. These exploratory results provide directional support for ACLF prediction by the simplified panels; complete marker availability, event support, paired differences, mortality performance, and calibration are reported in Supplementary Table 17.
Complementary chronological analysis
Models rebuilt in 515 earlier historical patients with complete 11-marker data were locked and applied to 485 later prospective patients without refitting or recalibration; Tucker congruence was 0.997. Paired ΔAUCs were 0.053 (95% CI, −0.001 to 0.107) for 90-day ACLF and 0.047 (95% CI, 0.003–0.093) for mortality, providing directional support for the primary findings (Supplementary Table 18).
Across the three SARS-CoV-2 screening and ward-routing policy periods, the joint dimension-by-period interaction did not indicate clear heterogeneity in the 90-day ACLF associations (P = 0.353; Supplementary Table 19).
Exploratory etiology-stratified analyses
Joint dimension-by-etiology tests did not detect clear heterogeneity in the 90-day ACLF associations (pooled P = 0.224; discovery cohort, P = 0.235; historical evaluation cohort, P = 0.368). In the alcohol-related historical subgroup, the AUCs for MELD and the augmented model were 0.815 and 0.810, respectively, with a paired ΔAUC of −0.004 (95% CI, −0.119 to 0.111). The alcohol-related subgroup contained only 17 ACLF events in each cohort; complete subgroup ACLF and exploratory mortality results are provided in Supplementary Table 20.
Exploratory infection-stratified analyses
Among 1,000 patients with complete 11-marker data, all three dimension scores were associated with 90-day ACLF both with and without clinically diagnosed bacterial infection at admission; the joint infection-by-dimension interaction did not indicate clear heterogeneity (P = 0.806). Thus, the dimension–ACLF associations were not confined to patients with clinically recognized infection; complete ACLF and mortality results are provided in Supplementary Table 6.
Discussion
This study derived three correlated but non-interchangeable immune-metabolic dimensions from 11 early-hospitalization biomarkers in the prospective discovery cohort, with preservation of the three-factor measurement structure in the same-center historical evaluation cohort. All three dimensions were independently associated with 90-day ACLF and mortality, with immunoparalysis showing the largest dimension-level associations. Adding dimension scores to MELD or CLIF-C AD improved discrimination, although ACLF calibration was less close than mortality calibration. The exploratory GMM phenotypes provided a complementary categorical summary: P3 was a small, distinctly separated group with the greatest conventional disease severity and outcome burden.
Cao et al. classified inflammatory markers into type-1, -2, and -3 subtypes using a priori biological categories and evaluated their associations with AD severity.9 The CLIF Consortium’s 28-gene systemic inflammation score achieved an AUC of 0.803 for distinguishing high- from low-severity clinical groups,10 but requires transcriptomic profiling not routinely available. Our approach differs in that it employs formal latent variable methods to discover dimension structure from routine and near-routine biomarkers and quantifies incremental predictive gain over conventional scores. HDL-C has also shown prognostic value in patients with established ACLF.49
The PREDICT study defined three trajectories (pre-ACLF, UDC, SDC) based on 90-day outcomes,4 but trajectory assignment requires complete follow-up. Our Sankey analysis showed that the majority P2 group (66%–72%) distributed across all three trajectories, illustrating a clinical “gray zone” where dimension-based phenotyping may identify higher-risk patients prospectively. P1 patients predominantly followed SDC trajectories, whereas P3 patients were most frequently classified as pre-ACLF, confirming that admission phenotype assignment provides early prognostic information.
These findings currently support prognostic risk stratification rather than treatment selection. P3 represented approximately 5% of admissions and had the highest ACLF and mortality burden, while decision-curve analysis indicated higher net benefit for the dimension-augmented model than for the clinical model alone across the evaluated threshold range. Immunoparalysis remained associated with ACLF among patients without a clinically recorded bacterial infection serving as an AD trigger at admission, indicating that its prognostic information was not confined to clinically recognized infection at presentation. Prospective intervention studies can evaluate the score as a stratification or enrichment variable for immune-directed therapies or structured infection-surveillance strategies. Because ACLF calibration was less close than mortality calibration, absolute-risk use in new settings requires further evaluation.
The immunoparalysis dimension was not reducible to simple lymphopenia. It was constructed from IL-10, C3, C4, and IgM without incorporating lymphocyte counts, while circulating T-, B-, and NK-cell counts were examined only in the cytological subgroup. Moderate inverse correlations with each lymphocyte subset (ρ = −0.25 to −0.44), together with a preserved CD4/CD8 ratio, were consistent with proportional lymphocyte depletion accompanying the soluble-marker pattern. This combination aligns with cirrhosis-associated immune dysfunction8 and supports interpretation of the dimension as a broader immune-regulatory state rather than a measure of absolute lymphocyte number alone.
The exploratory stratified analysis did not detect clear etiology-related heterogeneity. Viral hepatitis predominated, and the alcohol-related subgroup contributed 17 ACLF events in each cohort, limiting the precision of etiology-specific estimates. Gut-barrier dysfunction and microbial translocation can contribute to systemic immune activation in cirrhosis.8 Because alcohol exposure patterns, concomitant alcohol-related hepatitis, endotoxemia, and gut permeability were not characterized in the present dataset, the relative contributions of these pathways could not be distinguished. Future prospective multicenter studies with adequate representation of alcohol-related cirrhosis should combine serial immune-metabolic profiling with detailed characterization of alcohol exposure and alcohol-related hepatitis and direct assessment of gut-barrier function, microbial translocation, and innate immune activation to determine whether these pathways modify the level and prognostic contribution of the hyperinflammation dimension.
This study has several limitations. First, the historical evaluation cohort was retrospective and drawn from the same center. The complementary chronological frozen-model analysis provided directional support, but residual differences in case mix, clinical practice, calendar period, and unmeasured COVID-era factors remain. Second, the complete 11-marker analysis excluded records with missing biomarkers. The MICE analysis yielded similar results, although missingness may still affect generalizability. Third, HDL-C and ApoA-I were obtained from the first fasting blood draw after admission rather than at T0 and may have been influenced by treatment before sampling. Repeated measurements of all 11 markers at multiple time points during hospitalization were available for very few patients, particularly for cytokines and complement components, precluding assessment of score-level test-retest reliability and the additional prognostic information of serial scores.
IL-8 and IL-10 are not routinely available in many centers. Although the 5-marker panel balanced construct fidelity and clinical availability, it remains an exploratory practical candidate requiring prospective evaluation. The external-center analysis was also exploratory and restricted to reduced panels because complete cytokine and complement testing was uncommon. The number of mortality events yielded an events-per-variable ratio of 11.7, and the small P3 group produced imprecise phenotype-specific estimates. Assignment uncertainty was greatest in P1, reinforcing that the GMM phenotypes should be interpreted as exploratory rather than as fixed clinical categories.
ACLF definitions identify overlapping but non-identical populations.13,50 The present findings apply to EASL-CLIF-defined ACLF. The Asian Pacific Association for the Study of the Liver (APASL) framework additionally requires a qualifying acute hepatic insult followed within four weeks by ascites and/or hepatic encephalopathy; these temporal elements were not prospectively adjudicated in the current cohorts. Performance for APASL-defined ACLF therefore remains to be established.
Supporting information
Supplementary Table 1
Cohort completeness, event support, and analysis roles.
(DOCX)
Supplementary Table 2
Comparability between the discovery and historical evaluation cohorts and patterns of missing data.
(DOCX)
Supplementary Table 3
Cytokine lower limits of detection, proportion of values ≤LLOD, and preprocessing in the discovery (n=485) and historical evaluation (n=530 with cytokine measurements) cohorts.
(DOCX)
Supplementary Table 4
Exploratory and confirmatory factor analysis, bootstrap stability, and frozen Bartlett scoring weights for the three mechanistic dimensions.
(DOCX)
Supplementary Table 5
Regression coefficients and baseline function parameters for all prediction models (FS0/FS1/FS2) in the discovery cohort.
(DOCX)
Supplementary Table 6
Admission infection prevalence and exploratory infection-stratified analyses.
(DOCX)
Supplementary Table 7
Baseline characteristics at admission (T0) in the historical evaluation cohort, stratified by 90-day incident ACLF.
(DOCX)
Supplementary Table 8
Recorded treatment exposure between T0 and the first fasting blood draw.
(DOCX)
Supplementary Table 9
Clinical characteristics and outcomes by Gaussian mixture model phenotypes (K=3, full covariance) in the discovery and historical evaluation cohorts.
(DOCX)
Supplementary Table 10
Construct validity among patients with lymphocyte-subset data in the historical evaluation cohort (n=196).
(DOCX)
Supplementary Table 11
Associations of mechanistic dimension scores and phenotypes with 28-day ACLF and prediction performance in the discovery and historical evaluation cohorts.
(DOCX)
Supplementary Table 12
Calibration metrics for prediction models in the historical evaluation cohort (90-day ACLF).
(DOCX)
Supplementary Table 13
Proportional-hazards diagnostics.
(DOCX)
Supplementary Table 14
Restricted mean survival time and time-stratified proportional-hazards analyses.
(DOCX)
Supplementary Table 15
Multiple-imputation analysis of missing biomarkers in the historical evaluation cohort.
(DOCX)
Supplementary Table 16
Reduced marker panels: definitions, construct fidelity, and frozen internal performance.
(DOCX)
Supplementary Table 17
Exploratory external-centre baseline comparison, panel availability, event support, and frozen performance.
(DOCX)
Supplementary Table 18
Complementary chronological frozen-model analysis.
(DOCX)
Supplementary Table 19
Exploratory analysis by SARS-CoV-2 screening and ward-routing policy period.
(DOCX)
Supplementary Table 20
Exploratory etiology-stratified analyses.
(DOCX)
Supplementary Fig. 1
Data-driven support for the three-factor solution.
Scree plot with parallel analysis (Horn’s method, 1,000 random permutations, maximum likelihood extraction) applied to 24 candidate biomarkers in the discovery cohort (n = 485). Blue line: observed factor analysis eigenvalues. Red dashed line: 95th percentile eigenvalues from random permutation data. The first three factors had eigenvalues clearly exceeding the random threshold (4.15 vs. 0.56, 1.53 vs. 0.37, 0.53 vs. 0.32). A fourth factor was borderline (0.36 vs. 0.28; difference 0.08). Velicer’s Minimum Average Partial (MAP) criterion indicated K = 1 as optimal, likely reflecting the dominance of the first factor (eigenvalue = 4.15, accounting for the majority of common variance). The scree elbow at factor 3, combined with theoretical pre-specification of three mechanistic dimensions, supported the three-factor solution adopted in the primary analysis. Vertical grey dashed line marks K = 3. Software: R 4.5.2, psych 2.5.6, seed = 42.
(DOCX)
Supplementary Fig. 2
Gaussian mixture model (GMM) selection: BIC across cluster numbers.
BIC values for K = 2–6 clusters with full and tied covariance matrices in the discovery cohort. K = 3 with full covariance (BIC = 3,432.5) was selected as optimal.
(DOCX)
Supplementary Fig. 3
Historical evaluation cohort survival curves.
Kaplan–Meier estimates for 90-day overall survival in the historical evaluation cohort (n = 623), stratified by phenotype (Preserved [P1], Intermediate [P2], Depleted [P3]). Shaded bands indicate 95% confidence intervals. Log-rank test P values annotated.
(DOCX)
Supplementary Fig. 4
Distribution of maximum posterior probability (p_max) by phenotype.
Density plots of p_max for each phenotype in discovery and historical evaluation cohorts. Dashed line: uncertainty threshold (p_max = 0.60). P3 (Depleted) showed the lowest assignment uncertainty.
(DOCX)
Supplementary Fig. 5
Missing data pattern in the historical evaluation cohort.
Heat map of missing values across all predictor variables (n = 623). Block-missing cytokines (93 patients, 14.9%) and lipid panel (15 patients, 2.4%) are evident.
(DOCX)
Supplementary Fig. 6
Construct validity: dimension scores versus circulating immune cell counts.
Scatter plots with Spearman ρ showing associations between three dimension scores and immune cell populations in the patients with lymphocyte-subset data (n = 196). BH-FDR corrected q values annotated; ***q_FDR < 0.001. Immunoparalysis showed the strongest inverse correlations.
(DOCX)
Supplementary File 1
Supplementary Results.
(DOCX)