12. ARTICLE (IN ENGLISH)
12.1. MATERIALS AND METHODS
12.1.5. Statistical analysis
i. Patient characteristics: Age
ii. Initial physiological and biological variables: GCS total score and msGCS, pupil reactivity at hospital admission in the ED
iii. Severity of TBI: HAIS score based on clinical assessment and head CT scan performed within 24 hours of injury
12.1.4. Sample size and missing data
The sample size was prespecified [7]. To improve predictive accuracy and to decrease bias in regression coefficients, we limited potential predictors to variables with sufficient events per variable [50]. A total of 11 patients who died on scene were excluded. We excluded 102 patients with missing predictive factors. The msGCS was not available in 77 (8.4%) patients. Assessment of pupil reaction was missing in 31 (3.4%) patients (Figure 1 and Supplementary table 1).
12.1.5. Statistical analysis
Patients’ baseline characteristics were described as distribution with medians and inter-‐quartile ranges (IQR) for continuous variables and frequencies and percentages for categorical variables.
Descriptive statistics were conducted for the entire population and for two subgroups: survivors versus non-‐survivors at 14 days.
The predictor “age” was presented as a distribution (median, inter-‐quartile range = IQR). The predictor “msGCS” was presented as a distribution and as categories (1-‐2, 3-‐4, 5-‐6). The predictor
“HAIS” was presented as a distribution and as categories (HAIS 4, HAIS 5, HAIS 6). Relationship
We decided pre hoc to develop a prediction model based on data from the ED similar to the the receiver-‐operating curve (AUROC)] and calibration (by calibration slope and intercept).
12.1.5.2 Models’ discrimination and comparison of models’ AUROCs
instance, proposed that differences in AUROC less than -‐0.10 or -‐10% would be small enough to lack clinical importance [54]. We adopted a more conservative approach to non-‐inferiority: we considered any difference of -‐0.05 or more between the AUROCs (non-‐inferiority margin), or any difference of 5% or more between the discriminative abilities, to be clinically relevant. As a result, the HAIS-‐based prediction model would be non-‐inferior to the reference prediction model if the lower bound of the 95% CI of the difference AUROCs remains above -‐0.05 or -‐5.0% [55].
12.1.5.3. Calibration of prediction models
Calibration of the two fitted models aims to verify that predicted and observed outcomes remain concordant across all risk categories. We used the Hosmer-‐Lemeshow test to test concordance [53].
The test first divides the data points into equally sized intervals based on estimated mortality risk, then calculates a Χ2 for each interval. The smaller the value of Χ2, the larger the p-‐value, the better the calibration.
To graphically express the level of calibration of the HAIS-‐based prediction model, we plotted the predicted death rate at 14 days (x-‐axis) against the observed death rate at 14 days (y-‐axis). When calibration is perfect, the predicted and observed death rates are linearly related along a 45° line. We also plotted the observed death rate at 14 days by interval of predicted death rate to graphically illustrate the Hosmer-‐Lemeshow goodness-‐of-‐fit test. We repeated the same procedure for the reference prediction model.
12.1.5.4. Validation of the HAIS-‐based prediction model
We used a bootstrapping procedure with 2000 repetitions to correct for optimistic HAIS-‐based prediction model’s AUROC estimates [56]. This method aims to avoid issues related to overfitting.
Whenever optimistic AUROCs are close to initial AUROCs, overfitting is unlikely.
A total of 808 patients were included in this study (Figure 1). The median age was 56 (IQR 33-‐71), the
Non-‐survivors were significantly older and presented with worse brain injuries in univariate analyses (Table 1). HAIS scores and msGCS scores were inversely related: the greater the HAIS score, the
12.3 DISCUSSION
12.3.1 Key findings
The study observed a robust relationship between an anatomical or structural description of TBI using the HAIS and a physiological or functional description using the msGCS. This association was observed for patients with normal and abnormal pupil reactivity. Therefore, we demonstrate that the HAIS may replace the msGCS in prediction models for mortality within 14 days after TBI.
The discriminative accuracy of the HAIS-‐based prediction model was not inferior to the reference prediction model for the prediction of death at 14 days. Both models had good discrimination and appropriate calibration for short-‐term mortality prediction.
12.3.2 Interpretation of the results and implications
The observation that the HAIS-‐based model is non-‐inferior to the reference prediction model has several implications. First, accurate prediction of early mortality following TBI is feasible even in absence of an initial total or msGCS assessment. Since HAIS is often assessed for coding and accounting reasons, it should be readily available. Second, should external validation studies confirm the discriminative accuracy of the HAIS-‐based prediction model, risk assessment following TBI will be also achievable using this additional, simple approach. The armamentarium of mortality prediction tools will be more varied, contributing to improved early decision making and better resource management. By reducing the over-‐ and underestimation of risk after TBI, this clinically important aspect will contribute to improve our ability to predict early mortality following TBI. HAIS is particularly meaningful in cases where the GCS on admission is normal or near normal, as is often the case with elderly patients [33, 57]. Third, while initial GCS assessment are often missing in clinical
reasoning and clinical judgment were used. The one available study comparing the total GCS vs. a simplified GCS to estimate the non-‐inferiority boundary concluded that any predictive performance difference inferior to 10% is clinically non-‐relevant [54]. Given the little evidence available, we used a
performance. However, our reference model was based on the IMPACT model which used age as a continuous variable, therefore, we had applied the same methodology.
12.3.5 Future implications
Although both prediction models perform well at predicting short term mortality after severe TBI, they are not perfect. The following candidate predictors should be tested for further improvement:
multiple trauma [59], pre-‐existing co-‐morbidities assessed with the Charlson score [60] and post-‐
injury complications such as pneumonia [61] and/or transfusion of platelets [62].
13. SYNTHÈSE
Cette étude de cohorte multicentrique a mis en évidence une relation robuste entre une description anatomique ou structurelle du TCC utilisant le HAIS et une description physiologique ou fonctionnelle utilisant le msGCS. Cette association a été observée chez les patients présentant une réactivité
la tomodensitométrie peut compliquer l'évaluation du HAIS. Troisièmement, alors que l’étude utilisait un modèle de prédiction de référence établi avec des patients plus jeunes (modèle IMPACT) [51, 52], l’âge médian plus élevé de notre cohorte introduisait un risque potentiel de biais de mixité.
Cependant, le modèle IMPACT avait déjà été validé dans un pays à revenu élevé avec une population âgée similaire [58]. Quatrièmement, le moment des évaluations des prédicteurs était légèrement différent entre les deux modèles de prédiction: le msGCS a été évalué à l'admission, tandis que le HAIS a été évalué jusqu’à 24 heures après l'admission. L’impact de cette différence de timing d’évaluation du prédicteur sur le résultat est difficile à estimer, mais a probablement une pertinence mineure. Cinquièmement, notre modèle de prédiction basé sur HAIS n'a pas été validé dans une cohorte externe. Nous pensons que le risque de surajustement est faible compte tenu des valeurs corrigées d'optimisme comparables d'AUROC pour les deux modèles de prédiction.
En conclusion, bien que ces deux modèles de prédiction permettent de prédire de manière adéquate la mortalité à court terme après un TCC sévère, ils ne sont pas parfaits. Pour être plus performants, les potentiels variables prédictives suivantes devront être évalués: les traumatismes multiples [59], les comorbidités préexistantes évaluées par le score de Charlson [60] et les complications post-‐
traumatiques telles que la pneumonie [61] et / ou la transfusion de plaquettes [62].
14. TABLE AND FIGURES
14.1 Figure 1 14.2 Figure 2 14.3 Figure 3a 14.4 Figure 3b 14.5 Figure 4a 14.6 Figure 4b 14.7 Table 1 14.8 Table 2 14.9 Table 3
Figure 1. Flow chart of enrolled and included patients.
Patients with inclusion criteria and consent n=921
10 deaths on arrival of OHEMS
Patients with predictive factors n=808
Patients with inclusion criteria and consent n=911
Patients with inclusion criteria and consent n=910
102 patients with missing predictive factors 1 death on scene after arrival of OHEMS
Figure 2a. Distribution of the categories of HAIS and motor GCS at ED.
0100200300400500Number of patients
020406080100Percent
4 5 6
HAIS
Subscale motor score 1-2 of GCS Subscale motor score 3-4 of GCS Subscale motor score 5-6 of GCS Number of patients
Figure 2b. Distribution of the categories of subscale motor score of GCS on ED and HAIS stratified in patients with normal pupil reactivity and abnormal pupil reactivity.
0100200300
Number of patients
020406080100Percent
4 5 6
HAIS
Subscale motor score 1-2 of GCS Subscale motor score 3-4 of GCS Subscale motor score 5-6 of GCS Number of patients
Normal pupil reaction
0100200300
Number of patients
020406080100Percent
4 5 6
HAIS
Abnormal pupil reaction
Figure 3. Accuracy of discrimination (AUROC) for the HAIS-based predictive model and the reference predictive model.
0. 00 0. 25 0. 50 0. 75 1. 00
Se nsi tivi ty
0.00 0.25 0.50 0.75 1.00
1-Specificity
HAIS-based predictive
model AUROC: 0.839 Reference predictive model AUROC: 0.826 Reference
Figure 4a. Calibration of the HAIS-based predictive model.
2.1
9.2
16.4
29.6
42.9
55.1 59.5
78.6
65.5
100.0
0 10 20 30 40 50 60 70 80 90 100
[0%-‐5%[ [5%-‐15%[ [15%-‐25%[ [25%-‐35%[ [35%-‐45%[ [45%-‐55%[ [55%-‐65%[ [65%-‐75%[ [75%-‐85%[ [85%-‐100%]
Observed death at 14 days (%)
Predicted death at 14 days (%)
Figure 4b. Calibration of the reference predictive model.
6.0 8.2
21.5 25.0
39.5
62.1
68.4 70.0 70.0
100.0
0 10 20 30 40 50 60 70 80 90 100
Observed death at 14 days (%)
Predicted death at 14 days (%)
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