Baseline characteristics by HBP strata and early organ dysfunction progression status
A total of 150 children with sepsis were included in the final analysis cohort. When patients were stratified by baseline heparin-binding protein (HBP) quartiles, baseline HBP increased from 21.1 ng/mL (interquartile range [IQR], 15.9–26.2) in Q1 to 262.8 ng/mL (IQR, 201.6–308.7) in Q4 (p < 0.001; Table 1). Age, sex, body weight, and chronic comorbidity were broadly comparable across quartiles. In contrast, infection source, hemodynamic instability, organ dysfunction burden, and early organ support requirements showed clear severity gradients. Bloodstream infection was more frequent in higher HBP quartiles. Heart rate increased and mean arterial pressure decreased across quartiles. Baseline pediatric Sequential Organ Failure Assessment (pSOFA) score increased from 5 (IQR, 3–8) in Q1 to 9 (IQR, 7–12) in Q4 (p < 0.001), and septic shock at admission increased from 18.9% to 42.1% (p < 0.001). Mechanical ventilation within 24 h, vasoactive support within 24 h, and continuous renal replacement therapy (CRRT) within 72 h were also more frequent in higher HBP strata. Laboratory findings showed the same direction, with higher C-reactive protein (CRP), procalcitonin, lactate, and creatinine levels and lower albumin and platelet counts in the higher HBP quartiles.
Patients with early organ dysfunction progression within 72 h, defined as ΔpSOFA ≥ 2, showed a more severe baseline profile than those without progression (Table 2). The progression group had higher white blood cell counts, higher neutrophil percentages, lower platelet counts, and more pronounced coagulation abnormalities, including higher international normalized ratio, longer activated partial thromboplastin time, lower fibrinogen levels, and higher D-dimer values. Perfusion and metabolic indicators were also worse in the progression group, including higher lactate, lower pH, more negative base excess, higher creatinine, higher urea nitrogen, higher total bilirubin, higher alanine aminotransferase, lower albumin, higher glucose, and modestly lower sodium. Early therapeutic intensity was greater in this group, with more frequent fluid bolus administration, vasoactive support, mechanical ventilation, systemic corticosteroid use, albumin infusion, packed red blood cell transfusion, and CRRT, as well as a longer pediatric intensive care unit stay. These findings indicate that higher HBP levels were aligned with broader clinical deterioration rather than representing an isolated biomarker abnormality.
Short-term biomarker dynamics and severity trajectories
Serial biomarker trajectories showed early separation between children with and without progression of organ dysfunction (Figure 2). Children with ΔpSOFA ≥ 2 had higher baseline CRP and HBP, which remained elevated during the first 72 h after pediatric intensive care unit admission. HBP showed a clearer separation than CRP: in the progression group, HBP increased from baseline and remained elevated during early follow-up, whereas in the non-progression group, HBP remained lower and generally declined after the early peak. The relative HBP change from baseline to Day 2 further separated the two groups, with larger positive changes in patients who developed early organ dysfunction.
Trajectory analysis by clinical severity strata showed a similar pattern (Figure 3). HBP was persistently higher in the septic shock and severe sepsis groups than in the sepsis group. Lactate and procalcitonin were also higher in the more severe strata and declined over time, whereas albumin was lower and recovered more slowly. pSOFA scores and the HBP-to-albumin ratio remained higher in more severe strata, supporting the link between dynamic HBP behavior, endothelial injury-related protein loss, perfusion disturbance, and organ dysfunction burden.
Correlation between HBP, illness severity, and organ support
Baseline and dynamic HBP metrics were significantly correlated with illness severity, perfusion disturbance, and organ support intensity (Table 3). Baseline HBP correlated with baseline pSOFA score (r = 0.46, 95% confidence interval [CI], 0.39–0.53; p < 0.001) and Day 2 pSOFA score (r = 0.41, 95% CI, 0.33–0.48; p < 0.001). It was also positively correlated with lactate (r = 0.38, 95% CI, 0.30–0.45; p < 0.001), CRP (r = 0.29, 95% CI, 0.20–0.37; p < 0.001), and procalcitonin (r = 0.33, 95% CI, 0.24–0.41; p < 0.001), and negatively correlated with albumin (r = −0.34, 95% CI, −0.42 to −0.26; p < 0.001). The HBP-to-albumin ratio showed the strongest correlation with severity among the tested HBP-related indicators (r = 0.62, 95% CI, 0.56–0.67; p < 0.001).
Baseline HBP was also correlated with organ support intensity and resource use. It correlated with ventilator days during the first 28 days (r = 0.27, 95% CI, 0.18–0.35; p < 0.001), pediatric intensive care unit length of stay (r = 0.23, 95% CI, 0.14–0.31; p < 0.001), total vasoactive-inotropic score during the first 24 h (r = 0.35, 95% CI, 0.27–0.43; p < 0.001), and fluid bolus volume within 24 h (r = 0.21, 95% CI, 0.12–0.29; p < 0.001). It was also correlated with mechanical ventilation within 24 h (r = 0.30, 95% CI, 0.21–0.38; p < 0.001), vasoactive support within 24 h (r = 0.36, 95% CI, 0.28–0.44; p < 0.001), and CRRT within 72 h (r = 0.19, 95% CI, 0.10–0.28; p < 0.001). Day 2 HBP correlated with Day 2 pSOFA score (r = 0.52, 95% CI, 0.45–0.58; p < 0.001), and relative HBP change correlated with ΔpSOFA (r = 0.40, 95% CI, 0.32–0.47; p < 0.001) and higher 28-day mortality risk (r = 0.24, 95% CI, 0.15–0.33; p < 0.001).
Predictive performance for early organ dysfunction progression and high illness severity
The discriminative performance of HBP and comparator markers is summarized in Table 4 and illustrated by the receiver operating characteristic curves in Figure 4. For early organ dysfunction progression, baseline HBP showed higher discrimination than conventional biomarkers and baseline pSOFA. The area under the receiver operating characteristic curve (AUC) for baseline HBP was 0.82 (95% CI, 0.79–0.86), compared with 0.64 (95% CI, 0.59–0.69) for baseline CRP, 0.71 (95% CI, 0.66–0.76) for procalcitonin, 0.73 (95% CI, 0.68–0.77) for lactate, 0.70 (95% CI, 0.65–0.75) for albumin, and 0.76 (95% CI, 0.72–0.80) for baseline pSOFA. Day 2 HBP further improved discrimination, with an AUC of 0.88 (95% CI, 0.85–0.91), sensitivity of 82.7%, specificity of 80.6%, negative predictive value of 90.5%, and Youden index of 0.63 at a cut-off value of 126.0 ng/mL.
The HBP-to-albumin ratio also showed strong discriminative performance. The baseline HBP-to-albumin ratio had an AUC of 0.84 (95% CI, 0.81–0.88), and the Day 2 HBP-to-albumin ratio had an AUC of 0.89 (95% CI, 0.86–0.92), with a sensitivity of 83.5%, specificity of 81.8%, negative predictive value of 91.0%, and Youden index of 0.65 at a cut-off value of 3.60. Combined models performed better than single predictors (Figure 5). The baseline model combining HBP and pSOFA achieved an AUC of 0.90 (95% CI, 0.87–0.92), and the model combining HBP, lactate, and albumin achieved an AUC of 0.91 (95% CI, 0.88–0.93). Day 2 combined models showed the highest performance: HBP combined with CRP and procalcitonin achieved an AUC of 0.93 (95% CI, 0.91–0.95), while the HBP-to-albumin ratio combined with interleukin-6 and interleukin-8 achieved an AUC of 0.94 (95% CI, 0.92–0.96), with sensitivity of 89.6%, specificity of 86.4%, negative predictive value of 94.4%, accuracy of 87.4%, and Youden index of 0.76.
Because interleukin-6 and interleukin-8 were available only when ordered during routine care, cytokine-containing models were analyzed in the available-case subset and were interpreted as secondary model comparisons rather than primary prediction models.
Independent associations with early organ dysfunction progression and high illness severity
In multivariable logistic regression models, HBP remained independently associated with both early organ dysfunction progression and high illness severity (Table 5). For early organ dysfunction progression, Day 2 HBP was associated with increased odds of progression (adjusted odds ratio [aOR] per 10 ng/mL increase, 1.18; 95% CI, 1.12–1.24; p < 0.001). Relative HBP change from baseline to Day 2 was also independently associated with progression (aOR per 10% increase, 1.09; 95% CI, 1.04–1.14; p < 0.001). Baseline pSOFA (aOR per 1-point increase, 1.23; 95% CI, 1.14–1.33; p < 0.001), lactate (aOR per 1 mmol/L increase, 1.28; 95% CI, 1.13–1.45; p < 0.001), septic shock at admission (aOR, 2.16; 95% CI, 1.42–3.30; p < 0.001), and mechanical ventilation within 24 h (aOR, 2.02; 95% CI, 1.32–3.10; p = 0.001) were also independently associated with progression. Baseline albumin was inversely associated with progression (aOR per 1 g/L increase, 0.93; 95% CI, 0.90–0.97; p < 0.001). CRP was not independently associated after adjustment.
For high illness severity, Day 2 HBP remained independently associated with higher odds of 72-h peak pSOFA ≥ 8 (aOR per 10 ng/mL increase, 1.15; 95% CI, 1.10–1.21; p < 0.001). Relative HBP change was also independently associated with high illness severity (aOR per 10% increase, 1.07; 95% CI, 1.02–1.12; p = 0.006). Baseline pSOFA (aOR, 1.31; 95% CI, 1.21–1.43; p < 0.001), lactate (aOR, 1.21; 95% CI, 1.08–1.36; p = 0.001), septic shock at admission (aOR, 2.43; 95% CI, 1.60–3.71; p < 0.001), and mechanical ventilation within 24 h (aOR, 1.90; 95% CI, 1.25–2.90; p = 0.003) remained significant. Albumin showed an inverse association (aOR, 0.95; 95% CI, 0.92–0.98; p = 0.002). The models showed strong discrimination, with C-statistics of 0.90 for early organ dysfunction progression and 0.91 for high illness severity.
Incremental value of adding HBP to the base model
Adding HBP metrics to the base model improved model performance for both predefined severity outcomes (Table 6). The base model included pSOFA, lactate, albumin, procalcitonin, and CRP, and the extended model added Day 2 HBP and relative HBP change. For early organ dysfunction progression, adding HBP increased the AUC by 0.14 (95% CI, 0.10–0.18; p < 0.001). Net reclassification improvement was 0.31 (95% CI, 0.18–0.44; p < 0.001), and integrated discrimination improvement was 0.072 (95% CI, 0.044–0.103; p < 0.001). The Brier score decreased from 0.168 to 0.132, the calibration intercept moved from 0.08 to 0.03, the calibration slope improved from 0.86 to 0.97, and the Hosmer-Lemeshow p-value increased from 0.09 to 0.41.
For high illness severity, adding HBP increased the AUC by 0.13 (95% CI, 0.09–0.17; p < 0.001). Net reclassification improvement was 0.28 (95% CI, 0.15–0.42; p < 0.001), and integrated discrimination improvement was 0.061 (95% CI, 0.034–0.091; p < 0.001). The Brier score decreased from 0.162 to 0.129, the calibration intercept improved from 0.07 to 0.02, the calibration slope improved from 0.88 to 0.98, and the Hosmer-Lemeshow p-value increased from 0.12 to 0.46. These results indicate that HBP improved discrimination, calibration, and individual risk reclassification beyond conventional clinical and laboratory indicators.
Sensitivity analyses
Prespecified sensitivity analyses were performed to evaluate the robustness of the association between HBP metrics and early severity outcomes (Supplementary Table 1). When the Day 2 biomarker window was narrowed from 36–60 h to 42–54 h, Day 2 HBP remained independently associated with early organ dysfunction progression (aOR per 10 ng/mL increase, 1.16; 95% CI, 1.10–1.23; p < 0.001) and high illness severity (aOR, 1.14; 95% CI, 1.08–1.20; p < 0.001). When early organ dysfunction progression was redefined using a stricter threshold of ΔpSOFA ≥ 3, Day 2 HBP remained associated with progression (aOR, 1.19; 95% CI, 1.12–1.27; p < 0.001), and relative HBP change also remained significant (aOR per 10% increase, 1.08; 95% CI, 1.03–1.14; p = 0.003). After excluding source-verified clinically atypical extreme HBP values, the associations remained directionally unchanged. In the complete dynamic HBP cohort, Day 2 HBP and relative HBP change remained associated with both early organ dysfunction progression and high illness severity. These sensitivity analyses did not materially alter the main findings.
Time-dependent prediction and 28-day mortality
Time-dependent AUC analysis showed that HBP-based models maintained discriminative performance for 28-day all-cause mortality across follow-up (Figure 6). The highest time-dependent AUC values occurred during the early follow-up period, and the advantage of combined HBP-based models gradually narrowed over time. Time-dependent receiver operating characteristic curves showed the same pattern at selected follow-up points (Figure 7), with HBP-based and combined models generally outperforming CRP alone. These findings support the role of HBP as an early risk stratification and reassessment biomarker rather than a stand-alone late prognostic marker.
In Cox regression analysis, Day 2 HBP was independently associated with higher 28-day mortality risk after multivariable adjustment (adjusted hazard ratio [aHR] per 10 ng/mL increase, 1.12; 95% CI, 1.07–1.17; p < 0.001; Table 7). The relative HBP change from baseline to Day 2 also remained independently associated with a higher 28-day mortality risk (aHR per 10% increase, 1.05; 95% CI, 1.01–1.09; p = 0.012). Baseline pSOFA (aHR per 1-point increase, 1.12; 95% CI, 1.05–1.19; p = 0.001), lactate (aHR per 1 mmol/L increase, 1.18; 95% CI, 1.06–1.31; p = 0.003), albumin (aHR per 1 g/L increase, 0.96; 95% CI, 0.93–0.99; p = 0.016), and septic shock at admission (aHR, 1.84; 95% CI, 1.12–3.04; p = 0.017) also remained independently associated with 28-day mortality risk. Mechanical ventilation within 24 h and CRRT within 72 h were significant in univariable analyses but did not remain significant after adjustment.
Subgroup analyses showed that the association between Day 2 HBP and 28-day mortality risk was directionally consistent across clinically relevant strata (Table 8). Day 2 HBP remained significantly associated with mortality risk in children aged <1 year (hazard ratio [HR], 1.14; 95% CI, 1.06–1.23; p < 0.001) and ≥1 year (HR, 1.11; 95% CI, 1.05–1.17; p < 0.001), with no significant age interaction (p for interaction = 0.28). Similar consistency was observed across sex, septic shock status, baseline pSOFA category, lactate category, mechanical ventilation status, and albumin category. The association tended to be stronger in clinically severe strata, including septic shock, baseline pSOFA ≥8, lactate ≥2.5 mmol/L, mechanical ventilation within 24 h, and albumin <32 g/L. Relative HBP change showed the same direction of association, although some lower-risk subgroups had wider confidence intervals and non-significant results.
Data availability:
The de-identified patient-level dataset supporting the findings of this study is publicly available in the Figshare repository at https://doi.org/10.6084/m9.figshare.32545806.v1. Analysis code and additional study materials are available from the corresponding author upon reasonable request. All shared data have been de-identified in accordance with institutional and ethical requirements for patient confidentiality.

Figure 1: Study flowchart of participant selection. Flowchart showing pediatric intensive care unit (PICU) admissions screened between January 1, 2022, and December 31, 2025, stepwise exclusions, eligible patients, and the final analysis cohort of 150 children with sepsis. Baseline biomarker analyses included all 150 patients, and dynamic heparin-binding protein (HBP) analyses were performed among patients with available Day 2 HBP measurements. PICU admission was defined as time zero. Baseline biomarker window: 0–24 h. Day 2 biomarker window: 36–60 h. Please click here to view a larger version of this figure.

Figure 2: Early trajectories of C-reactive protein and heparin-binding protein by early organ dysfunction progression. (A) C-reactive protein (CRP) trajectories from baseline to 72 h after PICU admission in children with and without early organ dysfunction progression. (B) Heparin-binding protein (HBP) trajectories over the same period. (C) Relative HBP change from baseline to Day 2, stratified by progression status. Early organ dysfunction progression was defined as an increase of 2 or more points in pediatric Sequential Organ Failure Assessment (pSOFA) score within 72 h after PICU admission (ΔpSOFA ≥ 2). Shaded bands or error bars indicate variability around group-level estimates. Please click here to view a larger version of this figure.

Figure 3: Short-term biomarker and severity trajectories across sepsis severity strata. Serial changes from Day 1 to Day 3 are shown for patients stratified into sepsis, severe sepsis, and septic shock groups. (A) Heparin-binding protein (HBP). (B) Albumin (ALB). (C) Lactate (Lac). (D) C-reactive protein (CRP). (E) White blood cell count (WBC). (F) Procalcitonin (PCT). (G) Pediatric Sequential Organ Failure Assessment (pSOFA) score. (H) HBP-to-albumin ratio. The figure illustrates parallel gradients in endothelial activation, capillary leakage-related protein loss, perfusion disturbance, systemic inflammation, and organ dysfunction across increasing severity strata. Please click here to view a larger version of this figure.

Figure 4: Discriminative performance of single biomarkers and clinical indicators for early organ dysfunction progression. Receiver operating characteristic (ROC) curves comparing individual predictors. (A) Baseline predictors, including baseline HBP, baseline HBP-to-albumin ratio, baseline pSOFA, lactate, procalcitonin, and CRP. (B) Day 2 predictors, including Day 2 HBP, Day 2 HBP-to-albumin ratio, baseline pSOFA, and CRP. Early organ dysfunction progression was defined as ΔpSOFA ≥ 2 within 72 h after PICU admission. Area under the curve (AUC) values and confidence intervals correspond to the final values reported in Table 4. Please click here to view a larger version of this figure.

Figure 5: Receiver operating characteristic curves for HBP-based combined models. (A) Baseline combined models, including HBP + pSOFA and HBP + lactate + albumin, were compared with baseline HBP alone. (B) Day 2 combined models, including Day 2 HBP + CRP + procalcitonin and Day 2 HBP-to-albumin ratio + interleukin-6 + interleukin-8, compared with Day 2 HBP alone. Cytokine-containing models were analyzed in the available-case subset because interleukin-6 and interleukin-8 were measured only when ordered as part of routine clinical care. AUC values correspond to Table 4. Please click here to view a larger version of this figure.

Figure 6: Time-dependent AUCs of HBP-based models for 28-day all-cause mortality. Time-dependent AUC curves are shown for the base model, the base model plus Day 2 HBP, the base model plus Day 2 HBP and relative HBP change (ΔHBP%), and the combined HBP-based model. The base model included pSOFA, lactate, albumin, procalcitonin, and CRP. The figure shows that HBP-based models had the greatest discriminative advantage during early follow-up, with gradual narrowing of the difference over 28 days. Please click here to view a larger version of this figure.

Figure 7: Time-dependent ROC curves for 28-day all-cause mortality prediction at selected follow-up time points. ROC curves are shown for CRP alone, Day 2 HBP alone, and the combined HBP-based model. (A) Day 3. (B) Day 7. (C) Day 14. (D) Day 28. The combined HBP-based model showed higher discrimination than either single biomarker across the selected time points. Please click here to view a larger version of this figure.
| Variable | Q1 (lowest HBP), n=37 | Q2, n=38 | Q3, n=37 | Q4 (highest HBP), n=38 | p value |
| Baseline HBP, ng/mL | 21.1 (15.9–26.2) | 58.4 (46.8–72.5) | 132.6 (104.3–165.8) | 262.8 (201.6–308.7) | <0.001 |
| Age, years | 3.1 (0.9–7.8) | 3.4 (1.0–8.2) | 3.2 (0.8–7.5) | 3.0 (0.7–7.1) | 0.84 |
| Male sex, n (%) | 21 (56.8) | 22 (57.9) | 20 (54.1) | 23 (60.5) | 0.93 |
| Body weight, kg | 14.8 (9.2–24.5) | 15.1 (9.5–25.8) | 14.5 (8.9–24.2) | 14.2 (8.5–23.6) | 0.88 |
| Chronic comorbidity, n (%) | 9 (24.3) | 10 (26.3) | 11 (29.7) | 12 (31.6) | 0.79 |
| Respiratory infection, n (%) | 18 (48.6) | 17 (44.7) | 15 (40.5) | 13 (34.2) | 0.38 |
| Bloodstream infection, n (%) | 4 (10.8) | 7 (18.4) | 10 (27.0) | 15 (39.5) | 0.006 |
| Abdominal infection, n (%) | 5 (13.5) | 5 (13.2) | 6 (16.2) | 7 (18.4) | 0.82 |
| Heart rate, beats/min | 128 (116–142) | 136 (122–150) | 145 (130–158) | 156 (138–170) | <0.001 |
| Mean arterial pressure, mmHg | 67 (60–74) | 64 (57–71) | 60 (52–68) | 56 (48–63) | <0.001 |
| Baseline pSOFA score | 5 (3–8) | 6 (4–9) | 8 (5–10) | 9 (7–12) | <0.001 |
| Septic shock at admission, n (%) | 7 (18.9) | 10 (26.3) | 13 (35.1) | 16 (42.1) | <0.001 |
| Mechanical ventilation within 24 h, n (%) | 9 (24.3) | 13 (34.2) | 17 (45.9) | 22 (57.9) | 0.003 |
| Vasoactive support within 24 h, n (%) | 8 (21.6) | 12 (31.6) | 18 (48.6) | 24 (63.2) | <0.001 |
| CRRT within 72 h, n (%) | 1 (2.7) | 3 (7.9) | 5 (13.5) | 8 (21.1) | 0.015 |
| CRP, mg/L | 46.2 (28.5–72.8) | 71.4 (45.3–98.6) | 103.7 (70.2–142.4) | 138.6 (96.5–181.2) | <0.001 |
| Procalcitonin, ng/mL | 4.8 (1.6–12.5) | 8.9 (3.2–19.6) | 16.4 (6.8–31.5) | 28.7 (12.2–52.4) | <0.001 |
| Lactate, mmol/L | 1.8 (1.2–2.6) | 2.3 (1.6–3.4) | 3.0 (2.0–4.5) | 4.2 (2.8–6.1) | <0.001 |
| Albumin, g/L | 37.6 (34.1–40.5) | 35.4 (31.8–38.2) | 32.8 (29.5–36.1) | 29.6 (26.4–33.2) | <0.001 |
| Platelet count, ×10⁹/L | 216 (158–287) | 184 (132–248) | 151 (98–216) | 118 (72–176) | <0.001 |
| Creatinine, μmol/L | 35.2 (25.8–48.6) | 42.5 (30.6–58.4) | 53.7 (38.2–75.6) | 68.4 (46.5–96.2) | <0.001 |
Table 1: Baseline characteristics by baseline heparin-binding protein quartiles. Baseline demographic, infection-related, hemodynamic, organ support, and laboratory characteristics of 150 children with sepsis admitted to the PICU, stratified by baseline HBP quartiles. Values are presented as median (interquartile range) or n (%), as appropriate.
| Variable | No Early Progression n = 96 | Early Progression (ΔpSOFA ≥ 2, n=54) | p-value |
| White blood cell count, ×10⁹/L | 11.8 (7.5–16.2) | 16.4 (10.5–23.8) | <0.001 |
| Neutrophils, % | 72.5 (63.1–81.4) | 84.6 (76.2–90.5) | <0.001 |
| Platelet count, ×10⁹/L | 196 (132–268) | 112 (68–184) | <0.001 |
| INR | 1.18 (1.05–1.34) | 1.46 (1.22–1.82) | <0.001 |
| APTT, s | 38.4 (32.6–46.7) | 51.2 (41.8–68.5) | <0.001 |
| Fibrinogen, g/L | 3.1 (2.3–4.2) | 2.2 (1.5–3.4) | 0.002 |
| D-dimer, mg/L FEU | 1.8 (0.9–3.6) | 4.9 (2.1–9.8) | <0.001 |
| Lactate, mmol/L | 2.1 (1.4–3.2) | 4.3 (2.7–6.6) | <0.001 |
| pH | 7.38 (7.32–7.43) | 7.29 (7.20–7.36) | <0.001 |
| Base excess, mmol/L | −2.4 (−5.6 to 0.6) | −7.8 (−12.5 to −3.1) | <0.001 |
| Creatinine, μmol/L | 41.6 (29.2–59.8) | 68.5 (45.7–102.4) | <0.001 |
| Urea nitrogen, mmol/L | 5.8 (3.9–8.4) | 9.6 (6.2–14.8) | <0.001 |
| Total bilirubin, μmol/L | 12.4 (7.8–21.6) | 26.8 (14.5–48.2) | <0.001 |
| Alanine aminotransferase, U/L | 34 (19–68) | 82 (36–178) | <0.001 |
| Albumin, g/L | 35.8 (32.1–39.4) | 29.8 (26.5–34.1) | <0.001 |
| Glucose, mmol/L | 6.8 (5.4–8.9) | 9.6 (6.7–13.8) | 0.001 |
| Sodium, mmol/L | 137 (134–140) | 134 (130–138) | 0.018 |
| Initial fluid bolus ≥20 mL/kg, n (%) | 34 (35.4) | 35 (64.8) | <0.001 |
| Vasoactive support within 24 h, n (%) | 28 (29.2) | 34 (63.0) | <0.001 |
| Mechanical ventilation within 24 h, n (%) | 27 (28.1) | 34 (63.0) | <0.001 |
| Systemic corticosteroid use, n (%) | 20 (20.8) | 25 (46.3) | 0.001 |
| Albumin infusion, n (%) | 24 (25.0) | 29 (53.7) | <0.001 |
| Albumin dose, g/kg | 0.3 (0.0–0.8) | 0.8 (0.3–1.5) | <0.001 |
| Packed red blood cell transfusion, n (%) | 14 (14.6) | 19 (35.2) | 0.003 |
| CRRT within 72 h, n (%) | 4 (4.2) | 13 (24.1) | <0.001 |
| PICU length of stay, days | 8 (5–13) | 15 (9–23) | <0.001 |
Table 2: Baseline laboratory findings and early interventions by progression of early organ dysfunction. Comparison of laboratory indices, perfusion markers, coagulation variables, organ function indicators, and early therapeutic interventions between children with and without early organ dysfunction progression. Early organ dysfunction progression was defined as ΔpSOFA ≥ 2 within 72 h after PICU admission.
| HBP-related metric | Correlated variable | Correlation coefficient, r | 95% CI | p value |
| Baseline HBP | Baseline pSOFA score | 0.46 | 0.39–0.53 | <0.001 |
| Baseline HBP | Day 2 pSOFA score | 0.41 | 0.33–0.48 | <0.001 |
| Baseline HBP | Lactate | 0.38 | 0.30–0.45 | <0.001 |
| Baseline HBP | CRP | 0.29 | 0.20–0.37 | <0.001 |
| Baseline HBP | Procalcitonin | 0.33 | 0.24–0.41 | <0.001 |
| Baseline HBP | Albumin | −0.34 | −0.42 to −0.26 | <0.001 |
| HBP-to-albumin ratio | Severity score | 0.62 | 0.56–0.67 | <0.001 |
| Baseline HBP | Ventilator days within 28 days | 0.27 | 0.18–0.35 | <0.001 |
| Baseline HBP | PICU length of stay | 0.23 | 0.14–0.31 | <0.001 |
| Baseline HBP | Total VIS within 24 h | 0.35 | 0.27–0.43 | <0.001 |
| Baseline HBP | Fluid bolus volume within 24 h | 0.21 | 0.12–0.29 | <0.001 |
| Baseline HBP | Mechanical ventilation within 24 h | 0.3 | 0.21–0.38 | <0.001 |
| Baseline HBP | Vasoactive support within 24 h | 0.36 | 0.28–0.44 | <0.001 |
| Baseline HBP | CRRT within 72 h | 0.19 | 0.10–0.28 | <0.001 |
| Day 2 HBP | Day 2 pSOFA score | 0.52 | 0.45–0.58 | <0.001 |
| Relative HBP change | ΔpSOFA | 0.4 | 0.32–0.47 | <0.001 |
| Relative HBP change | 28-day mortality status | 0.24 | 0.15–0.33 | <0.001 |
Table 3: Correlations between HBP metrics, severity scores, and organ support indicators. Spearman correlation coefficients for baseline and dynamic HBP-related metrics with pSOFA scores, inflammatory markers, perfusion indicators, organ support variables, vasoactive-inotropic score, pediatric intensive care unit length of stay, and 28-day mortality status.
| Predictor or model | AUC | 95% CI | Cut-off | Sensitivity, % | Specificity, % | PPV, % | NPV, % | Accuracy, % | Youden index |
| Baseline CRP | 0.64 | 0.59–0.69 | 92.0 mg/L | 61.5 | 60.2 | 46.5 | 73.4 | 60.7 | 0.22 |
| Procalcitonin | 0.71 | 0.66–0.76 | 12.0 ng/mL | 68.4 | 65.3 | 52.1 | 78.6 | 66.4 | 0.34 |
| Lactate | 0.73 | 0.68–0.77 | 2.8 mmol/L | 70.2 | 66.7 | 54.3 | 79.5 | 68 | 0.37 |
| Albumin | 0.7 | 0.65–0.75 | 32.0 g/L | 65.7 | 68.4 | 53.8 | 77.6 | 67.3 | 0.34 |
| Baseline pSOFA | 0.76 | 0.72–0.80 | 7 points | 72.2 | 70.8 | 58.2 | 81.7 | 71.3 | 0.43 |
| Baseline HBP | 0.82 | 0.79–0.86 | 98.0 ng/mL | 78.5 | 76.4 | 65.1 | 86.2 | 77.3 | 0.55 |
| Day 2 HBP | 0.88 | 0.85–0.91 | 126.0 ng/mL | 82.7 | 80.6 | 70.4 | 90.5 | 81.3 | 0.63 |
| Baseline HBP-to-albumin ratio | 0.84 | 0.81–0.88 | 2.8 | 80.1 | 78.6 | 67.8 | 87.9 | 79.1 | 0.59 |
| Day 2 HBP-to-albumin ratio | 0.89 | 0.86–0.92 | 3.6 | 83.5 | 81.8 | 71.6 | 91 | 82.4 | 0.65 |
| HBP + pSOFA | 0.9 | 0.87–0.92 | Model probability | 85.4 | 83.1 | 75 | 91.1 | 84 | 0.69 |
| HBP + lactate + albumin | 0.91 | 0.88–0.93 | Model probability | 86.7 | 84.2 | 76.4 | 91.8 | 85.1 | 0.71 |
| Day 2 HBP + CRP + procalcitonin | 0.93 | 0.91–0.95 | Model probability | 88.5 | 85.8 | 79.1 | 93.2 | 86.9 | 0.74 |
| Day 2 HBP-to-albumin ratio + IL-6 + IL-8 | 0.94 | 0.92–0.96 | Model probability | 89.6 | 86.4 | 80.3 | 94.4 | 87.4 | 0.76 |
Table 4: Predictive performance of biomarkers and models for early organ dysfunction progression. AUCs, 95% confidence intervals, optimal cut-off values, sensitivity, specificity, positive predictive value, negative predictive value, accuracy, and Youden index for single biomarkers, the HBP-to-albumin ratio, and HBP-based combined models in identifying early progression of organ dysfunction.
| Predictor | Early Organ Dysfunction Progression | High Illness Severity |
| aOR | 95% CI | p value | aOR | 95% CI | p value |
| Day 2 HBP, per 10 ng/mL | 1.18 | 1.12–1.24 | <0.001 | 1.15 | 1.10–1.21 | <0.001 |
| Relative HBP change, per 10% increase | 1.09 | 1.04–1.14 | <0.001 | 1.07 | 1.02–1.12 | 0.006 |
| Baseline pSOFA, per 1-point increase | 1.23 | 1.14–1.33 | <0.001 | 1.31 | 1.21–1.43 | <0.001 |
| Lactate, per 1 mmol/L increase | 1.28 | 1.13–1.45 | <0.001 | 1.21 | 1.08–1.36 | 0.001 |
| Albumin, per 1 g/L increase | 0.93 | 0.90–0.97 | <0.001 | 0.95 | 0.92–0.98 | 0.002 |
| Procalcitonin, per 10 ng/mL increase | 1.06 | 1.01–1.12 | 0.028 | 1.05 | 1.00–1.11 | 0.046 |
| CRP, per 10 mg/L increase | 1.01 | 0.98–1.04 | 0.42 | 1.02 | 0.99–1.05 | 0.25 |
| Septic shock at admission | 2.16 | 1.42–3.30 | <0.001 | 2.43 | 1.60–3.71 | <0.001 |
| Mechanical ventilation within 24 h | 2.02 | 1.32–3.10 | 0.001 | 1.9 | 1.25–2.90 | 0.003 |
| Infection source category | 1.18 | 0.91–1.54 | 0.21 | 1.21 | 0.93–1.58 | 0.16 |
| Age, per year | 0.98 | 0.93–1.04 | 0.53 | 0.97 | 0.91–1.03 | 0.31 |
| Model C-statistic | 0.9 | — | — | 0.91 | — | — |
| Hosmer-Lemeshow p value | 0.41 | — | — | 0.46 | — | — |
| Nagelkerke R² | 0.4 | — | — | 0.42 | — | — |
Table 5: Multivariable logistic regression models for early organ dysfunction progression and high illness severity. Adjusted odds ratios and 95% confidence intervals for predictors of early organ dysfunction progression (ΔpSOFA ≥ 2) and high illness severity, defined as 72-h peak pSOFA ≥ 8. Model discrimination, calibration, and explained variance are also summarized.
| Outcome | Model | AUC | ΔAUC | 95% CI for ΔAUC | p value | NRI | 95% CI for NRI | IDI | 95% CI for IDI | Brier score | Calibration intercept | Calibration slope | Hosmer-Lemeshow p value |
| Early organ dysfunction progression | Base model | 0.78 | Reference | — | — | Reference | — | Reference | — | 0.168 | 0.08 | 0.86 | 0.09 |
| Early organ dysfunction progression | Base model + Day 2 HBP + ΔHBP% | 0.92 | 0.14 | 0.10–0.18 | <0.001 | 0.31 | 0.18–0.44 | 0.072 | 0.044–0.103 | 0.132 | 0.03 | 0.97 | 0.41 |
| High illness severity | Base model | 0.79 | Reference | — | — | Reference | — | Reference | — | 0.162 | 0.07 | 0.88 | 0.12 |
| High illness severity | Base model + Day 2 HBP + ΔHBP% | 0.92 | 0.13 | 0.09–0.17 | <0.001 | 0.28 | 0.15–0.42 | 0.061 | 0.034–0.091 | 0.129 | 0.02 | 0.98 | 0.46 |
Table 6: Incremental predictive value of adding HBP metrics to the base model. Changes in AUC, net reclassification improvement, integrated discrimination improvement, Brier score, calibration intercept, calibration slope, and Hosmer-Lemeshow test after adding Day 2 HBP and ΔHBP% to the base model for early organ dysfunction progression and high illness severity. The base model included pSOFA, lactate, albumin, procalcitonin, and CRP.
| Predictor | Univariable Analysis | Multivariable Analysis |
| HR | 95% CI | p value | aHR | 95% CI | p value |
| Day 2 HBP, per 10 ng/mL | 1.18 | 1.12–1.24 | <0.001 | 1.12 | 1.07–1.17 | <0.001 |
| Relative HBP change, per 10% increase | 1.08 | 1.04–1.12 | <0.001 | 1.05 | 1.01–1.09 | 0.012 |
| Baseline pSOFA, per 1-point increase | 1.18 | 1.11–1.26 | <0.001 | 1.12 | 1.05–1.19 | 0.001 |
| Lactate, per 1 mmol/L increase | 1.27 | 1.15–1.40 | <0.001 | 1.18 | 1.06–1.31 | 0.003 |
| Albumin, per 1 g/L increase | 0.93 | 0.90–0.96 | <0.001 | 0.96 | 0.93–0.99 | 0.016 |
| Procalcitonin, per 10 ng/mL increase | 1.09 | 1.03–1.16 | 0.004 | 1.04 | 0.98–1.10 | 0.18 |
| CRP, per 10 mg/L increase | 1.04 | 1.01–1.07 | 0.018 | 1.01 | 0.98–1.04 | 0.43 |
| Septic shock at admission | 2.76 | 1.78–4.29 | <0.001 | 1.84 | 1.12–3.04 | 0.017 |
| Mechanical ventilation within 24 h | 2.31 | 1.46–3.66 | <0.001 | 1.28 | 0.78–2.11 | 0.33 |
| CRRT within 72 h | 2.89 | 1.62–5.16 | <0.001 | 1.42 | 0.75–2.69 | 0.28 |
| Age, per year | 0.97 | 0.91–1.04 | 0.39 | 0.98 | 0.91–1.05 | 0.56 |
Table 7: Cox regression analyses for 28-day all-cause mortality. Univariable and multivariable hazard ratios for 28-day all-cause mortality, including Day 2 HBP, relative HBP change, baseline pSOFA, lactate, albumin, procalcitonin, CRP, septic shock at admission, mechanical ventilation within 24 h, CRRT within 72 h, and age.
| Subgroup | Day 2 HBP HR per 10 ng/mL | 95% CI | p value | ΔHBP% HR per 10% increase | 95% CI | p value | p for interaction |
| Age <1 year | 1.14 | 1.06–1.23 | <0.001 | 1.06 | 1.01–1.12 | 0.021 | 0.28 |
| Age ≥1 year | 1.11 | 1.05–1.17 | <0.001 | 1.04 | 1.00–1.09 | 0.049 | — |
| Male sex | 1.12 | 1.06–1.19 | <0.001 | 1.05 | 1.01–1.10 | 0.018 | 0.61 |
| Female sex | 1.13 | 1.06–1.21 | <0.001 | 1.05 | 1.00–1.11 | 0.041 | — |
| Septic shock present | 1.14 | 1.08–1.21 | <0.001 | 1.07 | 1.02–1.13 | 0.006 | 0.19 |
| Septic shock absent | 1.09 | 1.03–1.16 | 0.004 | 1.03 | 0.98–1.09 | 0.21 | — |
| Baseline pSOFA <8 | 1.08 | 1.02–1.15 | 0.009 | 1.03 | 0.98–1.09 | 0.18 | 0.24 |
| Baseline pSOFA ≥8 | 1.14 | 1.08–1.20 | <0.001 | 1.07 | 1.02–1.12 | 0.005 | — |
| Lactate <2.5 mmol/L | 1.09 | 1.02–1.16 | 0.01 | 1.03 | 0.98–1.09 | 0.2 | 0.31 |
| Lactate ≥2.5 mmol/L | 1.13 | 1.07–1.20 | <0.001 | 1.06 | 1.01–1.12 | 0.014 | — |
| No mechanical ventilation within 24 h | 1.08 | 1.01–1.15 | 0.026 | 1.02 | 0.97–1.08 | 0.36 | 0.22 |
| Mechanical ventilation within 24 h | 1.14 | 1.08–1.21 | <0.001 | 1.07 | 1.02–1.13 | 0.007 | — |
| Albumin ≥32 g/L | 1.09 | 1.02–1.16 | 0.011 | 1.03 | 0.98–1.09 | 0.22 | 0.18 |
| Albumin <32 g/L | 1.14 | 1.08–1.21 | <0.001 | 1.07 | 1.02–1.13 | 0.006 | — |
Table 8: Subgroup Cox analyses of dynamic HBP metrics for 28-day all-cause mortality. Subgroup hazard ratios and interaction tests for Day 2 HBP and ΔHBP% across strata defined by age, sex, septic shock status, baseline pSOFA, baseline lactate, early mechanical ventilation, and baseline albumin.
Supplementary Table 1: Sensitivity analyses for HBP metrics and early severity outcomes. Sensitivity analyses evaluated the robustness of the associations between HBP metrics and early severity outcomes after narrowing the Day 2 sampling window to 42–54 h, applying a stricter progression definition (ΔpSOFA ≥ 3), excluding source-verified atypical extreme HBP values, and restricting analyses to patients with complete dynamic HBP measurements.Please click here to download this file.