A nomogram to predict 28-day mortality in neonates with sepsis: a retrospective study based on the MIMIC-III database
Original Article

A nomogram to predict 28-day mortality in neonates with sepsis: a retrospective study based on the MIMIC-III database

Yongzhou Liang#^, Liqing Zhao#^, Jihong Huang^, Yurong Wu^

Department of Pediatric Cardiology, Xinhua Hospital, School of Medicine, Shanghai Jiaotong University, Shanghai, China

Contributions: (I) Conception and design: Y Wu, J Huang; (II) Administrative support: Y Wu, J Huang; (III) Provision of study materials or patients: J Huang, Y Liang; (IV) Collection and assembly of data: J Huang; (V) Data analysis and interpretation: Y Liang, L Zhao; (VI) Manuscript writing: All authors; (VII) Final approval of manuscript: All authors.

#These authors contributed equally to this work and should be considered as co-first authors.

^ORCID: Yongzhou Liang, 0000-0001-6782-6497; Liqing Zhao, 0000-0002-8268-4770; Jihong Huang, 0000-0001-7925-7244; Yurong Wu, 0000-0002-3311-2266.

Correspondence to: Yurong Wu, MD, PhD; Jihong Huang, PhD. Department of Pediatric Cardiology, Xinhua Hospital, School of Medicine, Shanghai Jiaotong University, 1665 Kongjiang Road, Yangpu District, Shanghai 200092, China. Email: wuyurong@xinhuamed.com.cn; huangjihong@xinhuamed.com.cn.

Background: Sepsis is the second-leading cause of death in neonates. We established a predictive nomogram to identify critically ill neonates early and reduce the time to treatment.

Methods: It is a retrospective case-control study based on the MIMIC-III database. The study population comprised 924 neonates diagnosed with sepsis.

Results: Neonates with sepsis included in the MIMIC-III database were enrolled, including 880 surviving neonates and 44 neonates who died. In the derivation dataset, stepwise regression and the Lasso algorithm were employed to select predictive variables, and the neonatal sequential organ failure assessment score (nSOFA) was calculated simultaneously. Bootstrap resampling was utilized to perform internal validation. The results indicated that the Lasso algorithm displayed superior discrimination, sensitivity, and specificity relative to stepwise regression and nSOFA scores. After 500 bootstrap resampling tests, the area under the receiver operating characteristic curve (AUC) of the Lasso algorithm was 0.912 (95% CI: 0.870–0.977). The nomogram based on the Lasso algorithm outperformed stepwise regression and nSOFA scores in terms of calibration and the clinical net benefit. This nomogram can assist in prognosticating neonatal severe sepsis and aid in guiding clinical practice while concurrently improving patient outcomes.

Conclusions: The established nomogram revealed that jaundice, corticosteroid use, weight, serum calcium, inotropes and base excess are all important predictors of 28-day mortality in neonates with sepsis. This nomogram can facilitate the early identification of neonates with severe sepsis. However, it still requires further modification and external validation to make it widely available.

Keywords: Sepsis; neonates; 28-day mortality; MIMIC database; nomogram


Submitted Mar 07, 2023. Accepted for publication Aug 02, 2023. Published online Sep 05, 2023.

doi: 10.21037/tp-23-150


Highlight box

Key findings

• Jaundice, weight, serum calcium, base excess, corticosteroids and inotropes were correlated with mortality in neonates with sepsis.

What is known and what is new?

• Sepsis is the second-leading cause of death in neonates, early identification and diagnosis of severe sepsis can improve neonatal outcomes.

• The nomogram will facilitate rapid identification of severe neonatal sepsis and will help clinicians make the right treatment decisions.

What is the implication, and what should change now?

• There is no accurate and concise method to identify neonates with severe sepsis, and it is necessary to develop and validate a tool for early identification of critically ill neonates.


Introduction

Neonatal death pertains to the death of live-born infants within the initial 28 days of life. Prematurity, neonatal sepsis and intrapartum-related complications are the most prevalent causes of neonatal death (1). Sepsis should be defined as life-threatening organ dysfunction resulting from a dysregulated host response to infection (2) and is perceived as the second-leading cause of death in neonates (3). A recent study on the global occurrence of neonatal sepsis indicated the incidence of 2,824 per 100,000 live births with a mortality rate up to 17.6% (4). Milton et al. reported an all-cause mortality of 5.65 per 1,000 neonate-days for those with clinically suspected and laboratory-confirmed neonatal sepsis (5). Despite the declining global case fatality rates of severe sepsis and septic shock in children over the past 30 years, the morbidity of neonatal sepsis is still underestimated due to the lack of a diagnostic gold standard (6). Sepsis carries a significant economic burden in low- and middle-income nations, amounting to over $7 billion in annual healthcare costs in the United States (7,8). Neonatal sepsis generally presents with diverse manifestations and non-specific laboratory results, which can rapidly progress to severe illness. Furthermore, the World Health Organization (WHO) recently accentuated that prevention can decrease sepsis morbidity and mortality (9). As such, the early detection and diagnosis of severe sepsis are imperative.

Currently, there are several prognostic tools available for identifying critical neonatal sepsis (10,11), including the Pediatric Logistic Organ Dysfunction score (PELOD), the Updated PELOD-2 score, Pediatric Risk of Mortality III scales (PRISM-III), Pediatric Multiple Organ Dysfunction score (P-MODS) and neonatal sequential organ failure assessment score (nSOFA). The PELOD score and PELOD-2 score included 12 and 10 factors, respectively, comprising five different organ dysfunctions, whereas the PRISM-III scales evaluated as many as 17 variables (12-14). These tools have limited operability and can be cumbersome, leading to time wastage and thus, are not applicable to newborns. Additionally, PELOD (or PELOD-2) shares commonalities with the P-MODS score and neglect to take into account the unique physiological traits of neonates and perinatal-related factors. Although nSOFA is simple and convenient, it only includes respiration, circulation and blood system score (15). Bestati et al. (16) has demonstrated that the individual correlation of neurological and hepatic dysfunction with neonatal mortality is absent in the evaluation of the nSOFA, resulting in a potential shortcoming. More recently, the machine learning (ML) algorithms have been utilized to forecast neonatal mortality in order to develop more effective tools (17), their restricted interpretability may hinder their usefulness in evaluating the prognosis of neonatal sepsis (18).

An urgent need exists for a straightforward and effective tool to predict neonatal sepsis mortality. Among the statistical visual tools available, nomogram has demonstrated concise and efficient performance when compared to traditional methods. With the evolution of statistical theory, nomograms have increasingly gained recognition and attention. Nomograms have indicated excellent performance in predicting late-onset sepsis in preterm infants with thyroid dysfunction (19) and have been widely used to determine the prognosis of critically ill patients in recent years (20,21). Currently, there is no relevant research that utilizes the nomogram as an instrument to foretell the mortality rate of neonatal sepsis to our understanding.

This study had dual objectives: firstly, to establish a nomogram by extracting neonatal demographic and comprehensive clinical data from the Medical Information Mart for Intensive Care III (MIMIC-III v1.4) database. Secondly, to compare the performance of the established nomogram with the nSOFA in predicting the mortality of neonates with sepsis within a 28-day period. Ultimately, the goal of our study is to establish a robust model to enable early identification of newborns at critically septic stages, which may help doctors to make informed treatment decisions based on a theoretical basis. We present this article in accordance with the TRIPOD reporting checklist (available at https://tp.amegroups.com/article/view/10.21037/tp-23-150/rc).


Methods

Database and study population

This was a retrospective case-control study based on the MIMIC-III database. The MIMIC-III (v1.4) database is an open-access research database comprising information relating to the Intensive Care Unit (ICU) patients from the Beth Israel Deaconess Medical Center (Boston, MA, USA) between 2001 and 2012 (22). To extract data from the MIMIC-III database, we completed the National Institutes of Health’s Protecting Human Research Participants (certification No. 44980177) web-based course.

Identity information and comprehensive clinical data of patients were integrated into the MIMIC-III database, which includes a total of 7,870 neonates. Since neonates were not directly involved, this study did not receive approval from the Institutional Review Committee board of Xinhua Hospital, Shanghai Jiaotong University, School of Medicine, Shanghai, China. The study was conducted in accordance with the Declaration of Helsinki (as revised in 2013). The study was approved by the Massachusetts Institute of Technology (Cambridge, MA, USA) and Beth Israel Deaconess Medical Center (Boston, MA, USA), and individual consent for this retrospective analysis was waived.

Data extraction

Neonates who met the criteria for sepsis in the MIMIC-III database were included in this study. Sepsis was defined according to the Sepsis-3 criteria (2,23). Clinical data for the first clinical features of patients after admission were extracted from the MIMIC-III database using structured query language (SQL), including demographics, vital signs and laboratory tests. Comorbidities were identified using ICD-9 codes, including respiratory distress syndrome (RDS), jaundice, acute kidney injury (AKI) and others. AKI was diagnosed based on the Kidney Disease: Improving Global Outcomes (KDIGO) guidelines as an increase in serum creatinine (Scr) of 0.3 mg/dL or more (24). Data on medications, urine output and intravenous fluid volume within the first 24 h after ICU admission were extracted.

The primary outcome of this study was neonatal death, defined as death occurring within 28 d during hospitalization in the Neonatal Intensive Care Unit (NICU). In addition, the sequential organ failure assessment (SOFA) score of the neonates was extracted as a model. The nSOFA score uses categorical scores [total score ranging from 0 (best) to 15 (worst)] to objectively assess the condition of patients, with increasing scores indicating worse organ dysfunction (15,25), as follows: (I) receipt of mechanical ventilation and oxygen to maintain physiological peripheral saturation, with scores ranging from 0 to 8; (II) inotropic or vasoactive drug support, including the use of corticosteroids for presumed adrenal insufficiency or catecholamine-resistant shock, with scores ranging from 0 to 4; and (III) the presence and severity of thrombocytopenia based on the most recent platelet measure, with scores ranging from 0 to 3.

Missing data handling

Demographic information was complete, but missing data on laboratory tests and physiological items are common in the MIMIC-III database. However, if patients with incomplete data or incomplete variables are eliminated, a large bias would be produced. Therefore, in the study, patients or variables with more than 50% missing values were eliminated. Finally, the missing values in the database were replaced with the method “norm.predict” in Multivariate Imputation by Chained Equation (MICE), in which every variable is imputed conditional on all other variables (26).

Sample size and calculation

To precisely estimate the overall outcome risk or mean outcome value in our study, the required sample size was calculated as follows (27):

n=(1.96/δ)2ϕ(1ϕ)

The anticipated outcome proportion (ϕ) in our study was 0.05, and the absolute margin of error (δ) was generally recommended to be less than 0.05. According to Eq. [1], the sample size required for the study was at least 73 participants.

To acquire a small prediction error in the estimated outcome probabilities across all individuals, the required sample size was calculated as follows (27):

ln(MAPE)=0.5080.544ln(n)+0.259ln(ϕ)+0.504(P)

The mean absolute prediction error (MAPE) was no larger than 0.050. Moreover, 30 candidate predictor parameters (P) were extracted from the MIMIC-III database. According to Eq. [2], the sample size required for the study was at least 544 participants.

The study included neonates with sepsis who were admitted the NICU between 2001 and 2012, with an estimated sample size of 924.

Statistical analysis

Based on neonatal in-hospital death or survival as the dependent variable, we divided all neonates into two groups. Demographics, vital signs, laboratory tests, medications and comorbidities were defined as independent variables. According to the normality of distribution, continuous variables are presented as the mean ± SD for parametric variables or as the median and IQR for nonparametric variables. Categorical variables are expressed as numbers and percentages. For continuous variables, unpaired Student’s test and Wilcoxon rank sum tests were used to assess significant differences between the two groups. For all categorical variables, the significant difference between the two groups was compared using the χ2-test or Fisher’s exact test.

Figure 1 shows the process of data acquisition, with 924 neonates included in our study. Based on the groupings described previously, we compared significant differences among the independent variables. Moreover, according to the dependent and independent variables described previously, a univariate logit binomial general linear model (GLM) was performed. The independent variables with P<0.05 in univariate analysis were incorporated into the GLM for stepwise regression analysis to further identify risk factors and establish a model (Further information regarding the model can be found in the Appendix 1 Supplement methods). The least absolute shrinkage and selection operator (LASSO) method was also used to screen variables, which can avoid overfitting by imposing a penalty on the magnitude of the model coefficients (28), and another model was established. To avoid multicollinearity among the variables, we employed both Pearson and nonparametric Spearman correlation matrices (29), with specific details presented in Figure S1. Additionally, the variance inflation factor (VIF) value of 5 or higher indicates the presence of multicollinearity (30). We examined potential nonlinear relationships between candidate continuous variables and death using restricted cubic splines and the Box-Tidwell test. Discrimination was assessed by the receiver operating characteristic (ROC) curve and area under the ROC curve (AUC), while calibration curves were plotted to assess model accuracy. Decision curve analysis (DCA) was also conducted to quantify the clinical net benefit at different threshold probabilities (31). Internal validation of the models and nSOFA score was performed using 500 bootstrap resamples and we compared the performance of the three models by calculating sensitivity, specificity, accuracy, integrated discrimination improvement (IDI), and net reclassification improvement (NRI). A nomogram was used to create a visual representation of the optimal model. This visualization tool includes graphic scoring which calculates the probability of a clinical event (32).

Figure 1 Flow chart for newborns screening process.

The SOFA (Sequential Organ Failure Assessment) score was originally developed to assess the severity of organ dysfunction or failure and was not designed to predict the risk of death (33). In recent years, the SOFA score has been extensively used to evaluate patient mortality (34,35), and the modified SOFA score (Table S1) has also been used to assess the risk of death in newborns (15). The SOFA score was validated in this study and compared with our developed model in terms of discrimination, calibration and the clinical net benefit.

All statistical tests were two-sided, and P values ≤0.05 were considered to be statistically significant. We used R statistical software (V.4.1.1; https://www.R-project.org) and SPSS statistical software (SPSS Statistics 25.0) for statistical analyses.


Results

Baseline characteristics of the included neonates

A total of 1,977 neonates from the MIMIC-III database who met the Sepsis-3 criteria were included. A total of 1,053 neonates were excluded, including 863 patients with more than 50% missing variables and 190 patients with deficient creatinine, calcium and blood urea nitrogen levels. Table S2 provides comprehensive details on how the remaining missing values were handled. The selection procedure of the study population is shown in Figure 1. Ultimately, 924 patients were enrolled in our study, of whom 44 patients died and 880 patients were still alive after 28 days.

The comparisons of demographics and variables for the derivation dataset between patients who died and those who survived during hospitalization are shown in Table 1. The incidence of AKI was higher in the non-surviving group. Patients who died had lower serum bicarbonate, hematocrit, hemoglobin, RDW, calcium, bilirubin, base excess, weight, height, pO2/FiO2_mean and 24-hour urine levels. However, the levels of creatinine, chloride and pCO2 in patients who died within 28 days were significantly increased. Additionally, more patients received systemic corticosteroids and inotropes in the non-surviving group. The nSOFA score of the non-surviving group was higher than that of the surviving group, which was consistent with previous reports. There was no significant difference in other variables between the surviving and non-surviving groups.

Table 1

Comparison of the baseline characteristics of septic neonates with different outcomes

Characteristic Overall (N=924) Outcome P
Survival (N=880) Death (N=44)
Demography
   Gender, male 513 (55.5) 486 (55.2) 27 (61.4) 0.520
   Age, hours 13.60 [8.10, 19.30] 13.62 [8.00, 19.31] 12.40 [9.93, 18.60] 0.968
   Weight, kg 1.45 [1.04, 2.10] 1.46 [1.07, 2.11] 0.92 [0.69, 1.53] <0.001
   Height, cm 40.33±5.78 40.54±5.66 36.08±6.41 <0.001
Vital signs
   Heartrate, bmp 143.00±10.21 142.88±10.14 145.50±11.21 0.096
   pO2/FiO2mean 200.00 [154.17, 277.52] 210.00 [159.09, 284.15] 131.35 [95.25, 197.60] <0.001
Laboratory tests
   Hematocrit, % 46.91±7.39 47.04±7.26 44.32±9.35 0.017
   Hemoglobin, g/dL 15.60±2.45 15.64±2.42 14.78±2.92 0.023
   Platelet, K/µL 249.33±84.03 250.36±83.97 228.82±83.58 0.097
   RDW, % 16.90 [16.20, 17.80] 16.93 [16.22, 17.80] 16.15 [15.50, 17.12] 0.004
   WBC, K/µL 9.30 [6.40, 13.40] 9.34 [6.46, 13.33] 10.20 [5.45, 13.57] 0.717
   Neutrophils, K/µL 30.69±17.30 30.74±17.32 29.63±16.99 0.677
   Lymphocytes, K/µL 56.80±18.54 56.73±18.50 58.14±19.56 0.624
   Anion gap, mmol/L 16.33±3.63 16.28±3.50 17.36±5.57 0.053
   Bicarbonate, mmol/L 20.94±3.16 20.99±3.10 19.91±4.09 0.027
   Chloride, mmol/L 106.67±5.05 106.58±5.04 108.61±4.98 0.009
   Calcium, mg/dL 9.68±1.39 9.76±1.33 8.08±1.56 <0.001
   Serum potassium, mEq/L 4.89±1.05 4.90±1.05 4.86±0.99 0.859
   Serum sodium, mEq/L 139.02±4.66 138.92±4.62 141.07±4.91 0.003
   Bilirubin, mg/dL 4.93±1.95 5.03±1.92 3.02±1.35 <0.001
   Creatinine, mg/dL 0.69±0.33 0.68±0.32 0.87±0.34 <0.001
   BUN, mg/dL 17.00 [12.00, 26.00] 17.70 [12.00, 26.00] 18.00 [14.50, 24.25] 0.414
   pCO2, mmHg 47.90±11.90 47.60±11.35 54.00±19.15 <0.001
   Base excess, mmol/L −2.00 [−4.00, 0.00] −2.10 [−3.98, −0.97] −4.50 [−10.25, −2.00] <0.001
Comorbidities
   Jaundice 798 (86.4) 779 (88.5) 19 (43.2) <0.001
   RDS 703 (76.1) 673 (76.5) 30 (68.2) 0.281
   AKI (24 h) 57 (6.2) 47 (5.3) 10 (22.7) <0.001
   Others 381 (41.2) 364 (41.4) 17 (38.6) 0.840
Score
   nSOFA 4.00 [2.00, 6.00] 4.10 [2.10, 5.10] 7.00 [5.00, 9.25] <0.001
Treatment
   Liquid intake, mL/d 131.78±54.67 132.39±53.77 119.60±70.09 0.130
   Urine out, mL/d 86.93±47.55 89.16±47.13 42.18±31.38 <0.001
   Corticosteroid 47 (5.1) 32 (3.6) 15 (34.1) <0.001
   Inotropes 123 (13.3) 95 (10.8) 28 (63.6) <0.001

Data are presented as the mean ± SD, median [IQR], or numbers and percentages. RDW, red blood cell distribution width; WBC, white blood cell; BUN, blood urea nitrogen; RDS, respiratory distress syndrome; AKI, acute kidney injury; nSOFA, neonatal sequential organ failure assessment.

Selected features

Univariable and stepwise regression analysis was used to assess variables associated with death (Table 2). As shown in Table 2, stepwise regression analysis screened 5 candidate predictors with P values <0.05.

Table 2

Factors associated with death among septic neonates

Variables Univariate analysis Multivariate analysis
OR (95% CI) P OR (95% CI) P
Demography
   Gender, male 1.30 (0.69, 2.40) 0.430
   Age, hours 1.00 (0.97, 1.01) 0.760
   Weight, kg 0.38 (0.22, 0.66) 0.001 0.47 (0.28, 0.81) 0.006
   Height, cm 0.87 (0.82, 0.92) 0.000
Vital signs
   Heartrate, bmp 1.00 (0.99, 1.10) 0.096
   pO2/FiO2mean 0.97 (0.96, 0.99) 0.000 0.98 (0.97, 0.99) 0.000
Laboratory tests
   Hematocrit, % 0.96 (0.93, 0.99) 0.017
   Hemoglobin, g/dL 0.88 (0.79, 0.98) 0.023
   Platelet, K/µL 1.00 (0.99, 1.01) 0.096
   RDW, % 0.85 (0.72, 1.00) 0.066
   WBC, K/µL 0.98 (0.94, 1.00) 0.520
   Neutrophils, K/µL 1.00 (0.98, 1.02) 0.680
   Lymphocytes, K/µL 1.00 (0.99, 1.01) 0.620
   Anion gap, mmol/L 1.10 (1.00, 1.20) 0.053
   Bicarbonate, mmol/L 0.90 (0.82, 0.99) 0.025 0.91 (0.81, 0.98) 0.027
   Chloride, mmol/L 1.10 (1.00, 1.20) 0.009
   Calcium, mg/Dl 0.52 (0.43, 0.62) 0.000
   Serum potassium, mEq/L 0.97 (0.73, 1.30) 0.860
   Serum sodium, mEq/L 1.10 (1.00, 1.20) 0.003 1.09 (1.01, 1.16) 0.018
   Bilirubin, mg/dL 0.43 (0.34, 0.55) 0.000
   Creatinine, mg/dL 3.70 (1.80, 7.60) 0.000 4.38 (1.91, 10.05) 0.001
   BUN, mg/dL 1.00 (0.98, 1.01) 0.600
   pCO2, mmHg 1.00 (0.91, 1.10) 0.001
   Base excess, mmol/L 0.86 (0.82, 0.91) 0.000
Comorbidities
   Jaundice 0.10 (0.05, 0.19) 0.000
   RDS 0.66 (0.34, 1.30) 0.210
   AKI (24 h) 5.20 (2.40, 11.00) 0.000
   Others 0.89 (0.48, 1.70) 0.720
Treatment
   Liquid intake, mL/d 0.99 (0.99, 1.00) 0.130
   Urine out, mL/d 0.96 (0.95, 0.97) 0.000
   Corticosteroid 14.00 (6.70, 28.00) 0.000
   Inotropes 14.00 (7.50, 28.00) 0.000

RDW, red blood cell distribution width; WBC, white blood cell; BUN, blood urea nitrogen; RDS, respiratory distress syndrome; AKI, acute kidney injury; nSOFA, neonatal sequential organ failure assessment.

Figure 2 shows the results of 32 variables that were incorporated into the Lasso regression algorithm from the derivation group. Lasso regression was performed with a λ of 0.021 (one standard error of the minimum λ), and only 12 variables remained in the model. To make the model include fewer variables, lasso regression was performed with a λ of 0.028, and a total of 6 variables entered the model, which may be the most important candidate predictors for developing the model, including corticosteroid use, inotropes, jaundice, weight, serum calcium and base excess, as shown in Table 3.

Figure 2 Variables selection by the LASSO regression. (A) The tuning parameter (λ) in the LASSO model was selected by 10-fold cross-validation via minimum criteria. The partial likelihood deviance (binomial deviance) curve was plotted versus log(λ). The results showed that 23 variables were retained when the error was the smallest, which corresponded to the dotted line on the left. To avoid overfitting and simplicity of the model, 12 variables were retained, corresponding to the dotted line on the right, which is the one SE of the minimum criteria (the 1−SE criteria). To make the model simpler, lasso regression was performed with λ of 0.028, and a total of 6 variables enter the model. (B) LASSO coefficient profiles of the 32 variables. A coefficient profile plot was produced against the log(λ) sequence. A vertical line was drawn at the selected optimizing value(λ), corresponding to 6 nonzero coefficients. LASSO, the least absolute shrinkage and selection operator; SE, standard error.

Table 3

LASSO selected predictors

Variables LASSO selected predictors
OR (95% CI) P
Jaundice 0.05 (0.02, 0.14) 0.001
Corticosteroid 3.81 (1.35, 10.72) 0.011
Weight, kg 0.22 (0.11, 0.43) 0.001
Calcium, mg/dL 0.53 (0.40, 0.69) 0.001
Inotropes 3.58 (1.50, 8.55) 0.004
Base excess, mmol/L 0.94 (0.88, 0.99) 0.048

LASSO, the least absolute shrinkage and selection operator.

Model development

For the derivation dataset, candidate variables obtained by lasso regression that had a significant effect on in­hospital death are shown in Table 3. In addition, candidate variables with statistically significant differences in stepwise regression analysis were included in the binary logistic regression, as shown in Table 2. Ultimately, the following 6 candidate factors, identified as statistically significant variables using the multivariate likelihood ratio (LR), were included in the Lasso regression algorithm: jaundice (OR 0.05, P=0.001), corticosteroid use (OR 3.81, P=0.011), weight (OR 0.22, P=0.001), serum calcium (OR 0.53, P=0.001), inotropes (OR 3.58, P=0.004) and base excess (OR 0.94, P=0.048). Correspondingly, the binary logistic regression model incorporated a total of 5 variables from the derivation dataset, which included weight (OR 0.47, P=0.006), pO2/FiO2_mean (OR 0.98, P=0.000), bicarbonate (OR 0.91, P=0.027), serum sodium (OR 1.09, P=0.018) and creatinine (OR 4.38, P=0.001). Ultimately, both the lasso and binary logistic regression models exhibited no nonlinearity relationships in the continuous variables, as depicted in Figure 3. A linear correlation was observed between nSOFA score and mortality. The candidate variables did not exhibit multicollinear relationships (Figure S1), and the VIFs are presented in Table 4. We developed two regression models, the lasso regression model and binary logistic regression model, using the candidate variables screened earlier.

Figure 3 Association of predicted variables with mortality. (A) Weight. (B) pO2/FiO2_mean. (C) Bicarbonate. (D) Sodium. (E) Creatinine. (F) Calcium. (G) Base excess. (H) nSOFA. Odds ratios are indicated by solid lines and 95% CIs by shaded areas; Box-Tidwell P-nonlinear <0.05 indicates a nonlinear relationship; nSOFA, neonatal sequential organ failure assessment score.

Table 4

VIFs for stepwise regression and LASSO regression

Variables VIF
Multivariate analysis
   Bicarbonate, mmol/L 1.011
   Serum sodium, mEq/L 1.066
   Weight, kg 1.058
   pO2/FiO2mean 1.003
   Creatinine, mg/dL 1.009
LASSO selected predictors
   Jaundice 1.332
   Corticosteroid 1.138
   Weight, kg 1.429
   Calcium, mmol/L 1.213
   Inotropes 1.208
   Base excess, mmol/L 1.195

VIFs, variance inflation factors; LASSO, the least absolute shrinkage and selection operator.

Validation and comparison of the models

The discrimination of the two models and the nSOFA score in the derivation dataset was assessed using the ROC curve. In the derivation dataset, the AUC values of three prediction models, namely the stepwise regression model, Lasso algorithm model, and nSOFA score, were determined as 0.784 (95% CI: 0.703–0.866), 0.924 (95% CI: 0.869–0.978), and 0.807 (95% CI: 0.728–0.866), respectively (Table S3). Following 500-times bootstrap resampling, the values changed to 0.763 (95% CI: 0.695–0.874), 0.912 (95% CI: 0.870–0.977), and 0.807 (95% CI: 0.732–0.883) (Figure 4). The discrimination of the LASSO algorithm model was better than that of the stepwise regression model and nSOFA score (P<0.05) (Figure 5). There was no statistically significant difference in the discrimination performance between the stepwise regression model and the nSOFA score (P=0.418) (Figure 5C). In addition, the sensitivity, specificity and accuracy of each model are presented in Table S3. The stepwise regression model and nSOFA score displayed high sensitivity and accuracy, but their specificity was lower. In contrast, the Lasso algorithm model demonstrated better sensitivity, specificity, and accuracy. Moreover, the calibration curve plot of the Lasso algorithm model and nSOFA score model roughly showed an ideal diagonal in the derivation dataset (Figure 4D,4F). Instead, the stepwise regression model exhibited a relatively low consistency among the models (Figure 4B). Decision curve analysis (DCA) was applied to evaluate the clinical net benefit across the entire range of threshold probabilities for each of the three models (Figure 5D). Results indicate that the Lasso algorithm model had the highest clinical and public health value.

Figure 4 ROC curves and calibration curve for predicting mortality of sepsis neonates. (A) ROC curve for Stepwise regression. (B) Calibration curve for Stepwise regression. (C) ROC curve for LASSO. (D) Calibration curve for LASSO. (E) ROC curves for nSOFA. (F) Calibration curve for nSOFA. Slope, calibration slope; Optimism index derives from internal validation; ROC, receiver operating characteristic; AUC, area under the ROC curve; LASSO, the least absolute shrinkage and selection operator; nSOFA, neonatal sequential organ failure assessment score.
Figure 5 Comparison of the discrimination and decision curves of the stepwise regression, LASSO and nSOFA. (A) the stepwise regression and LASSO. (B) the nSOFA and LASSO. (C) the stepwise regression and nSOFA. (D) Comparison of the net benefit among the stepwise regression, LASSO and nSOFA. LASSO, the least absolute shrinkage and selection operator; nSOFA, neonatal sequential organ failure assessment; ROC, receiver operating characteristic; AUC, area under the ROC curve.

The performance of several models predicting mortality in neonatal populations with sepsis was compared (Table S4). The Lasso algorithm significantly enhances prediction performance compared to that of the stepwise regression and nSOFA score. The net reclassification improvement (NRI) of Lasso algorithm with respect to stepwise regression and nSOFA score are 52.95% and 53.64%, respectively. Moreover, Lasso algorithm improved model performance validated by integrated discrimination improvement (IDI) by 30.93% and 26.98% compared to stepwise regression and nSOFA score, respectively. Overall, the Lasso algorithm model outperforms both the stepwise regression model and nSOFA score in terms of performance.

Development of the best-performing prediction nomogram

The 6 factors had nonzero coefficients in the Lasso regression model based on the derivation groups (Table 3), which were integrated into the nomogram (R2 =0.526, C-index =0.912). A candidate predictor corresponds to a unique score and then sums these scores to obtain a total score, which corresponds to the total score axis and finally to the in­hospital mortality axis (Figure 6). Physicians can make the corresponding treatment decisions according to the probability of death that is obtained.

Figure 6 The nomogram for predicting 28-day in-hospital mortality of sepsis neonates.

Discussion

Sepsis is a major cause of neonatal death; the mortality of sepsis can be reduced by identifying critically ill patients early (3). Because the clinical signs at the early stages of neonatal sepsis are non-specific, there is currently no uniform standard for early identification of critically ill patients, resulting in delayed management of critically ill patients, which may negatively affect their clinical outcomes. Therefore, based on data derived from the MIMIC-III database, we selected independent risk factors for mortality of neonates with sepsis by using stepwise regression and LASSO regression analysis. Meanwhile, two mortality prediction models with independent predictors for neonates with sepsis were developed. The optimal model was selected by comparing the two prediction models with the nSOFA score model. Finally, a neonatal sepsis mortality prediction nomogram was developed based on the optimal model. The nomogram may facilitate the early identification of neonates with severe sepsis and may reduce mortality of critically ill patients.

In 2015, neonatal deaths accounted for approximately 45.1% of children who did not live to 5 years of age, with one of the leading causes being sepsis or meningitis (1). A study showed mortality ranging from 11% in the USA to 19% in India (3). Another recent study showed that the all-cause mortality of neonatal sepsis was 0.83 (0.37–2.00) per 1,000 neonate-days in low-income and middle-income countries (5). The mortality in our study was 5%, which was lower than that previously described. These differences in mortality may be attributed to better medical conditions in the United States and relatively advanced neonatal care.

Despite advances in neonatal intensive care technology, nonspecific clinical symptoms often lead to rapidly progress to severe illness. Therefore, we developed a mortality prediction model to provide a simpler tool for physicians to identify neonates with severe sepsis early that may help reduce the mortality of infection-related illnesses. Our results indicated that weight, pO2/FiO2, serum calcium, base excess and bicarbonate had protective effects on neonatal in-hospital death, while systemic corticosteroids, inotropes, and high serum creatinine levels were risk factors within the first 24 h after NICU admission. Previous studies have demonstrated that weight, pO2/FiO2, serum calcium, base excess and bicarbonate are protective factors associated with neonatal death (15,36-38). Firstly, the pO2/FiO2 is an available noninvasive marker for the identification of children with acute lung injury or ARDS (39). Secondly, serum calcium is crucial for various physiological processes, including signal transduction in cells, nerve transmission, coagulation cascade and muscle contraction (40). Neonatal sepsis frequently causes hypocalcemia due to the presence of inflammatory markers, including procalcitonin (PCT), tumor-necrosis factor α (TNF-α), interleukin-1β (IL-1β) (41). Further research demonstrates that Neonatal sepsis accompanied by hypocalcemia increases the risk for developing cardiovascular and renal dysfunction, as well as disseminated intravascular coagulation and epilepsy, ultimately resulting in higher mortality rates (42). Additionally, animal study supports the involvement of calcium ions in lethal coagulation during sepsis (43). Thirdly, hemodynamic instability during neonatal sepsis results in tissue hypoperfusion, causing metabolic acidosis and consequently, reduced levels of serum bicarbonate and BE. Bicarbonate effectively improves tissue perfusion, myocardial contractility, and cellular dysfunction in severe acidosis (44,45). Reduced levels of bicarbonate are known to correlate with decreased levels of BE. Our study did not utilize lactate to assess tissue hypoperfusion, as excessive lactate deficiency can lead to unreliable results. A study reveals that increase of negative value of BE values can better reflect hypoperfusion-induced metabolic acidosis in critically ill patients compared to lactate (46). These findings also offset certain limitations in our study. Moreover, low serum levels of both bicarbonate and BE are indicative of a higher mortality in critically ill patients (46-49). These studies support our conclusions while further enhancing our understanding of the association between these indicators and neonatal mortality.

The literature has presented an elevation of plasma bilirubin levels indicates strong liver conversion function, while lower concentration of cholestasis-related markers implies potential protective effect of bilirubin (50). Previous study has indicated that bilirubin accumulation may be beneficial for the survival of newborns and septic neonates who survived had higher plasma bilirubin levels (51). Stocker et al. believed that Bilirubin is a strong antioxidant whose ability to suppress the oxidation in vitro is more prominent than that of another powerful antioxidant-α-tocophero (52). Also, bilirubin can protect low-density lipoprotein from damage caused by oxidation (53). Meanwhile, for newborns suffering from sepsis, inhibiting GBS growth is possible by affecting substrate utilization when the plasma bilirubin concentration is below the diagnostic criteria for neonatal hyperbilirubinemia (54). These results demonstrated a protective effect of jaundice on neonatal sepsis. However, the mechanism by which bilirubin provides such protection against neonatal sepsis remains unclear and requires additional research.

Our study found that systematic corticosteroids and inotropes were associated with adverse outcomes in neonates, supported by the nSOFA score (15). The efficacy of corticosteroids can improve mortality in patients with sepsis remains controversial, however, the administration of corticosteroids was associated with more superinfection, hyperglycemia and hypernatremia (55). Additionally, corticosteroids are primarily prescribed to children with sepsis who suffer from fluid refractory and catecholamine resistant shock (56). Simultaneously, refractory septic shock in children was associated with high vaso-inotrope doses, indicating that neonates had more critical outcomes (57). The inotropes represented circulatory instability and it was a major cause of arrhythmia and leaded to some life-threatening complications such as central nervous bleeding and intestinal ischemia (58). Furthermore, high serum creatinine levels indicated worsening acute kidney injury associated with poor outcomes (59,60), which confirmed our conclusion.

Among the available sickness prediction scoring systems for assessing the severity of neonates, the Clinical Risk Index for Babies (CRIB) and CRIB-II scores primarily evaluate several parameters during the perinatal period and are applicable to newborns with gestational age <33 weeks (61). In addition, The Transport Risk Index of Physiologic Stability (TRIPS) and TRIPS-II scores evaluate temperature, respiratory status, blood pressure, response to noxious stimuli in infants (62,63). TRIPS and TRIPS-II scores are applied to rapidly assess the infants requiring transport to a NICU, and cannot accurately assess the severity of neonatal sepsis. The Score for Neonatal Acute Physiology (SNAP) consists of 27 items of vital signs, blood gas indicators, peripheral blood cells, and biochemistry indicators (64). The SNAP Perinatal Extension (SNAPPE), derived from SNAP, includes three supplementary indicators, that is, birth weight, small for gestational age (SGA), and Apgar score at 5 min. However, their applicability is limited by the complexity of the calculations and the multiple variables involved. The simplified SNAP-II score includes mean blood pressure, lowest body temperature, P(O2)/FiO2, pH, urine output, and multiple seizures, but its performance in evaluating the severity of neonatal diseases is not ideal (65). The SNAPPE-II score adds birth weight, SGA, and Apgar score at 5 min to the SNAP-II score. Previous studies compared the CRIB-II and SNAPPE-II for predicting mortality, and neither of them fully estimated the risk of death (66). Obviously, an accurate scoring system with fewer variables is more convenient for clinical application than relying on multiple variables. In our study, the nomogram incorporates only 6 easily ascertainable variables, while considering the impact of organ function and treatment measures on the progression of sepsis. These are factors that CRIB-II, SNAP-II, and SNAPPE-II scores, commonly used to assess the severity of neonates, have not considered.

The optimal SOFA cutoff to discriminate mortality was a score higher than 8 points, and the performance of the maximum SOFA score in discriminating in-hospital mortality was similar to the performance of the PRISM and PELOD-2 and better than the P-MODS score (10). The PRISM, PELOD-2, and P-MODS have been validated in the prognosis of sepsis in children (67) but have not been applied to neonates. Moreover, a SOFA score of 2 or higher has limited sensitivity in predicting in-hospital mortality risk (11). However, our findings indicate that nSOFA has relatively high sensitivity but low specificity. We noticed several relevant parallels of our study with studies on SOFA performance (Figure 3). As the SOFA score increased, the risk of death increased (10,11,15), and the SOFA performance (AUC, 0.81; 95% CI: 0.73–0.88) was similar to the conclusion of a previous study (AUC, 0.81; 95% CI: 0.76–0.85) (15), which proved that the performance of the nomogram may be better than that of the SOFA score.

As prognostic devices, nomograms have been widely used to predict the probability of clinical events. We developed a nomogram for predicting the risk of in-hospital mortality in neonates, which can enable physicians to quickly identify severe sepsis in neonates and make rapid clinical decisions. Moreover, the nomogram showed good predictive accuracy in predicting mortality in neonates due to severe sepsis, with an AUC of 0.912. However, there are some inevitable limitations in our study that need to be addressed. First, the study was a single-center retrospective study based on the MIMIC-III database, which made it impossible for external validation. Second, the model’s statistical power was affected by a small sample size, as there were fewer neonates in the non-surviving group. Although we utilized a recent technique for calculating sample size, the conventional method that meets Peduzzi’s criterion of an event per variable (EPV) of >10 shows that we cannot achieve adequate statistical power. In addition, the etiology of individual patient-level information were not available. This may limit our more accurate conclusion. Moreover, due to the late availability of etiological information, its role in accurate medication within 24 h of admission was relatively limited. Nonetheless, our findings provide novel insights into the prediction of mortality in neonates with sepsis, which has potentially important public health implications for improving survival of neonates with sepsis. Our study’s limitations should be acknowledged, that need to be addressed in future studies.


Conclusions

Jaundice, weight, serum calcium and base excess were associated with a reduced risk of mortality in neonates with sepsis, while corticosteroids and inotropes were related to an increased risk of mortality in neonates with sepsis. We developed a mortality prediction nomogram with a small number of routinely collected variables for neonates with sepsis, which can be applied to identify critically ill neonates early. The nomogram can be easily used in the NICU.


Acknowledgments

We thank all participants in the Xinhua Hospital, School of Medicine, Shanghai Jiaotong University, Shanghai, China. The authors gratefully acknowledge the editors and reviewers of Transnational Pediatrics for their invaluable feedback, particularly their insightful comments on statistical issues that improved the manuscript. Additionally, we appreciate their support in editing our manuscript.

Funding: This work was supported in part by grants from the National Natural Science Foundation of China (NSFC Project No. 82171948), and the Shanghai Municipal Health Commission Scientific Research Project (Project No. 20214Y0126). The sponsors of this study had no role in study design, data collection, data analysis, data interpretation, or writing of the report.


Footnote

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Conflicts of Interest: All authors have completed the ICMJE uniform disclosure form (available at https://tp.amegroups.com/article/view/10.21037/tp-23-150/coif). All authors report that this work was supported in part by grants from the National Natural Science Foundation of China (NSFC Project No. 82171948), and the Shanghai Municipal Health Commission Scientific Research Project (Project No. 20214Y0126). The sponsors of this study had no role in study design, data collection, data analysis, data interpretation, or writing of the report. The authors have no other conflicts of interest to declare.

Ethical Statement: The authors are accountable for all aspects of the work in ensuring that questions related to the accuracy or integrity of any part of the work are appropriately investigated and resolved. The study was conducted in accordance with the Declaration of Helsinki (as revised in 2013). The study was approved by the Massachusetts Institute of Technology (Cambridge, MA) and Beth Israel Deaconess Medical Center (Boston, MA), and individual consent for this retrospective analysis was waived.

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Cite this article as: Liang Y, Zhao L, Huang J, Wu Y. A nomogram to predict 28-day mortality in neonates with sepsis: a retrospective study based on the MIMIC-III database. Transl Pediatr 2023;12(9):1690-1706. doi: 10.21037/tp-23-150

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