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PLoS One. 2019; 14(9): e0222599.
Published online 2019 Sep 30. doi: 10.1371/journal.pone.0222599
PMCID: PMC6768479

Improved ICU mortality prediction based on SOFA scores and gastrointestinal parameters

Yehudit Aperstein , Data curation , Formal analysis , Investigation , Methodology , Software , Supervision , Writing – original draft , 1 Lidor Cohen , Data curation , Formal analysis , 1 Itai Bendavid , Visualization , Writing – original draft , Writing – review & editing , 2, * Jonathan Cohen , Formal analysis , Writing – review & editing , 2 Elad Grozovsky , Data curation , Formal analysis , 2 Tammy Rotem , Data curation , Formal analysis , 1 and Pierre Singer , Conceptualization , Investigation , Methodology , Project administration , Supervision , Writing – review & editing 2

Yehudit Aperstein

1 Department of Industrial Engineering and Management, Afeka Academic College of Engineering, Tel Aviv, Israel

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Lidor Cohen

1 Department of Industrial Engineering and Management, Afeka Academic College of Engineering, Tel Aviv, Israel

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Itai Bendavid

2 Department of General Intensive Care and Institute for Nutrition Research, Rabin Medical Center, Beilinson Hospital, Petah Tikva, Israel

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Jonathan Cohen

2 Department of General Intensive Care and Institute for Nutrition Research, Rabin Medical Center, Beilinson Hospital, Petah Tikva, Israel

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Elad Grozovsky

2 Department of General Intensive Care and Institute for Nutrition Research, Rabin Medical Center, Beilinson Hospital, Petah Tikva, Israel

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Tammy Rotem

1 Department of Industrial Engineering and Management, Afeka Academic College of Engineering, Tel Aviv, Israel

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Pierre Singer

2 Department of Industrial Engineering and Management, Afeka Academic College of Engineering, Tel Aviv, Israel

2

A U C = T P R ( T ) F P R ' ( T ) d T

The model with the maximal AUC was considered the most favorable. In addition to AUC, we also compared sensitivity, specificity, accuracy, negative predictive value (NPV) and positive predictive value (PPV), all of which are common performance indicators for comparison of predictive models.

Results

The case records of 4,500 patients were included in our analysis. For the first part of modeling we looked at certain classification algorithms (ANN, SVM, etc.) independently in order to select the best model from each model type. We selected the best performing model from each group. The fusion of logistic and linear regression provided the best results (AUC of 0.9113). We inspected the performance of SVM with three different kernels: linear, radial and polynomial, and selected the best model with 8-fold-cross validation. This process is further detailed in S1 File . Table 4 presents the performance of each SVM model trained with a different kernel, while the best performance was achieved with the polynomial kernel.

Table 4

Support Vector Machines (SVMs) results.
Linear SVM Radial SVM Polynomial SVM
Area under Curve (AUC) 0.9061 0.8825 0.9066
Accuracy 0.8323 0.8291 0.8766
Sensitivity 0.6632 0.6526 0.6316
Specificity 0.9050 0.9050 0.9050
FPR 0.0950 0.0950 0.0950

The results of SVM methods using different kernel functions are presented. As the highest AUC was achieved using a polynomial kernel function, this method was assessed to be the superior SVM and only it was used later for comparison with the other models. SVM: Support Vector Machine; FPR: False Positive Rate

After the Best SVM model was selected, we compared it with other built models such as the ANN and the logistic regression model. For a graphical comparison of models, we used the ROC curve to asses which model performs best on the available data. Fig 1 presents the ROC curve for each model plotted together for best comparison.

A comparison of classifiers on ROC curve.

The Received-Operator Curves (ROCs) of three different classifiers are presented. All three methods (logistic regression, SVM with a polynomial kernel and ANN) produced similar curves, all above 0.9 which is considered highly accurate for classification, with only minute differences between them.

As the performance of the different classifiers was similar according to Receiver-Operator Curves, we decided to employ ensembles of the different models to further improve diagnostic ability. We constructed the following ensembles with combinations of the aforementioned models. Table 5 displays the performance of all classifiers and ensemble classifiers, where it is evident that the best AUC is achieved with the ensemble of logistic and linear regression. This finding is somewhat intuitive given the ordinal nature of the input scores we used (both SOFA and gastrointestinal scores are on an ordinal scale).

Table 5

Full results comparison (without GI parameter).
Model Area under Curve (AUC)
ANN 0.8875
SVM (Polynomial kernel) 0.9066
Linear Regression 0.9070
Logistic Regression 0.9070
Ensemble 1: ANN + Linear Regression 0.9101
Ensemble 2: Logistic + Linear Regression 0.9113
Ensemble 3: ANN + SVM + Linear Regression 0.9072
Ensemble 4: ANN + SVM + Linear + Logistic Regression 0.9081

A comparison of the performance of the different models as well as ensemble methods, i.e. combinations of single methods, shows that the ensemble of logistic and linear regression produced the highest AUC. GI: gastrointestinal. AUC: area under the curve. ANN: artificial neural networks. SVM: support vector machine.

After finding the best performing ensemble, we looked at improving results with the addition of the GI dysfunction score. We used a penalty function to correct the SOFA score when the actual outcome did not accord with the score.

At this point, using the 3 latest SOFA scores of a patient, we reached a level of overall accuracy which was higher than past finding in the literature, but still there were misclassified cases which we wanted to minimize. These cases were in fact false positives (patients which survived their ICU stay, but the model classified them as not likely to survive the stay). It became evident from the data that the majority of these cases were such that the last 3 SOFA scores were rising, implying a worsening in patient condition, even though that patient survived. We hoped the gastrointestinal system could shed some light on these errors, by explaining the survival of these patients by their nutritional condition, therefore improving model performance. We looked at the three latest SOFA scores only, three latest SOFA scores with Zb value (SOFA + Zb) and three latest SOFA scores with gastrointestinal scores and Zb values. We evaluated these inputs on our ensemble models and found the combination of the latest three SOFA scores, the addition of the GI failure tool as well as the penalty function (Zb) to yield the best results (AUC = 0.9146). This performance analysis is presented in Table 6 .

Table 6

Performance of all inspected inputs (with GIF).
# models ANN Poly SVM Linear Reg. Logistic Reg. SOFA SOFA + Zb SOFA + Gastrointestinal with Zb
1 0.8875 0.9077 0.9024
1 0.9066 0.9076 0.9146
1 0.9070 0.9087 0.9036
1 0.9070 0.8855 0.8645
2 0.9101 0.8960 0.9033
2 0.9113 0.9096 0.9020
2 0.9102 0.9093 0.9080
3 0.9072 0.9098 0.9100
4 0.9081 0.9086 0.9046

A comparison of the inspected models, single as well as ensembles, before and after the addition of a GI dysfunction tool. It reveals better predictive capabilities for the addition of the GI dysfunction score to the SOFA score with a penalty function (Zb). # MODELS: 1 signifies a single model, 2 to 4 signify ensembles. GIF: gastrointestinal failure; SVM: Support Vector Machine; ANN: artificial neural networks; SOFA: Sequential organ failure assessment; Reg.: regression.

Discussion

There is an ongoing effort to improve prediction models for patient outcome in the ICU. In this study we tested the efficacy of using a patient’s latest SOFA scores to represent the change in condition throughout ICU stay for the purpose of predicting ICU mortality. We first examined the ability of the SOFA score to predict mortality on the using the data from our ICU. The need to use sub-scores dictates larger input vectors[ 9 ], thus in this work we examined new ways to achieve this level of accuracy with more compact inputs. Using several machine learning algorithms showed good performance of the SOFA score with an AUC mostly above 0.9. We then assessed several ensemble methods and found the combination of logistic and linear regression to slightly improve prediction. Furthermore, since so many models and methodologies were used, examining the different models we observed a range of performance in accuracy, showing a relatively tight interval between 0.8875 and 0.9113. This narrow interval, despite using four different algorithms, ensembles and input combinations, indicates solid results where accuracy is not expected to decline drastically when further tested on new data, possibly from mixed center populations (i.e., patients from other hospitals/countries). The next step was to incorporate a GI failure score with the SOFA score to further improve prediction accuracy. We used descriptive decision trees to discover GI parameters that may be able to reduce prediction error of classifiers based solely on SOFA. In the aforementioned study by Reintam et al. [ 17 ], a GI dysfunction score was developed in an effort to further improve the performance of the SOFA score; however, the results were equivocal [ 16 ]: although the number of GI symptoms was significantly higher in non-survivors, no symptom could be used as an independent predictor for mortality. Furthermore, the incorporation of the combination of SOFA and GI failure scale to this new heterogenic population failed to improve performance. The final conclusion drawn from these past studies was that a new approach to the problem was required.

It seems that a few obstacles prohibit the GI system's incorporation into severity scoring systems, including the wide diversity of gastrointestinal disorder clinical manifestations in the ICU [ 25 ], a lack of an accepted definition for GI failure [ 26 ], lacking validation of laboratory markers, mainly citrulline [ 27 ], and the scarcity of strong-level evidence. Feeding intolerance, an important manifestation and defining factor for GI failure, is by itself not yet well defined [ 28 ], as it may be based solely on GRV measurements, amount of enteral nutrition delivered or GI symptom lists. Understanding of the intricate interrelation between acute GI dysfunction, feeding intolerance and intraabdominal hypertension and their wide areas of overlap is still evolving [ 29 ].

We devised a completely new approach for the incorporation of the GI abnormalities into prognostic methods. Our machine learning prediction model combines integrated gastrointestinal disturbances with well-established organ failure severity score. The model significantly improved the prediction capabilities of the standard SOFA score. Moreover, the model analyzes the dynamics of change in these parameters over time, making it a dynamic score (i.e., adding the important element of time). The time series approach allows for a significant improvement in mortality risk prediction compared to a single SOFA score reading. Our research shows that our approach allows the design of a prediction model with improved prediction accuracy of ICU mortality risk, potentially advancing towards the addition of GI component into the SOFA score, thus improving its predictive abilities.

Conclusions

Our models of data analysis yielded strong evidence for the accuracy of the SOFA-based scoring system. When incorporating the time element by looking at three consecutive SOFA scores and adding a seventh we demonstrated a yet more accurate predictive ability of the model. We believe it represents a step towards a call for the inclusion of the GI system in SOFA-based scoring systems and helps bridge the evidence gap in this field.

Abbreviations

SOFA sequential organ failure assessment
ICU intensive care unit
APACHE acute physiology and chronic health
SAPS simplified acute physiology score
GI gastrointestinal
IAH intra-abdominal hypertension
REE resting energy expenditure
ROC receiver operating characteristic curve
AUC area under the curve
LR logistic regression
SVM support vector machines
ANN artificial neural networks

Funding Statement

The authors received no specific funding for this work.

Data Availability

The public sharing of the data underlying this study is restricted as per the policy of the data guardian, Clalit Health Services, as the data contain sensitive patient information. Although the authors cannot make their study’s data publicly available at the time of publication, all authors commit to make the data underlying the findings described in this study fully available without restriction to those who request the data, in compliance with the PLOS Data Availability policy. For data sets involving personally identifiable information or other sensitive data, data sharing is contingent on the data being handled appropriately by the data requester and in accordance with all applicable local requirements. Data access queries may be directed to Dr. Itai Bendavid ( moc.allaw@dbti ) or Prof. Pierre Singer ( li.gro.tilalc@regnisp ). Per the requirements of Clalit Health Services, data requesters can only access the hospital's dataset locally (i.e, physically in our hospital) under the supervision of Dr. Bendavid and Prof. Singer, and the data cannot exported, even in anonymized form.

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