Abstract
Prediction models are important tools for heterogeneity adjustment in clinical trials and for the evaluation of quality of delivered care to patients with traumatic brain injury (TBI). We sought to improve the predictive performance of the IMPACT (International Mission for Prognosis and Analysis of Clinical Trials) prognostic model by combining it with the APACHE II (Acute Physiology and Chronic Health Evaluation II) for 6-month outcome prediction in patients with TBI treated in the intensive care unit. A total of 890 patients with TBI admitted to a large urban level 1 trauma center in 2009–2012 comprised the study population. The IMPACT and the APACHE II scores were combined using binary logistic regression. A randomized, split-sample technique with secondary bootstrapping was used for model development and internal validation. Model performance was assessed by discrimination (by area under the curve [AUC]), calibration, precision, and net reclassification improvement (NRI). Overall 6-month mortality was 22% and unfavorable neurological outcome 47%. The predictive power of the new combined IMPACT–APACHE II models was significantly superior, compared to the original IMPACT models (AUC, 0.81–0.82 vs. 0.84–0.85; p<0.05) for 6-month mortality prediction, but not for unfavorable outcome prediction (AUC, 0.81–0.82 vs. 0.83; p>0.05). However, NRI showed a significant improvement in risk stratification of patients with unfavorable outcome by the IMPACT–APACHE II models, compared to the original models (NRI, 5.4–23.2%; p<0.05). Internal validation using split-sample and resample bootstrap techniques yielded equivalent results, indicating low grade of overestimation. Our findings show that by combining the APACHE II with the IMPACT, improved 6-month outcome predictive performance is achieved. This may be applicable for heterogeneity adjustment in forthcoming TBI studies.
Key words: : APACHE II, external validation, IMPACT, outcome, prognostic models, traumatic brain injury
Introduction
Traumatic brain injury (TBI) is one of the leading causes of morbidity and mortality in the world, and no major improvements in prognosis has been noted in recent decades.1,2 Clinical trials are hard to conduct in TBI because of broad disorder heterogeneity and patient case mix, thus numerous trials have failed to show any improvements in patient outcome.3 Further, because of the broad heterogeneity of TBI, clinical trials require large study populations, often from multiple centers. This creates further challenges, because one should now standardize for differences in quality of care provided by the participating institutions.4 Benchmarking, by comparing the predicted and observed outcome, is an important tool for trauma health care quality evaluation.5 Such benchmarking has been shown to reduce mortality rates after cardiac and noncardiac surgery.6 It has been suggested that by using newly developed robust prediction models in TBI, similar improvements in quality of care and outcome could be achieved.7
Patients with TBI differ substantially in terms of prognosis from other critically ill patients, and several prognostic models specifically aimed for TBI have been developed.8,9 The most robust and clinical applicable is the IMPACT (International Mission for Prognosis and Analysis of Clinical Trials) model, which uses admission characteristics to predict risk of 6-month outcome.7,10 However, the IMPACT model is fairly new (introduced in 2008) and not as well established in centers around the world as the “traditional” intensive care unit (ICU) scoring systems, such as the APACHE II (Acute Physiology and Chronic Health Evaluation II).11 The APACHE II (introduced in 1985) is the updated version of the original APACHE (introduced in 1981) and currently one of the world's most widely used ICU scoring systems.12 In contrast to the IMPACT, the APACHE II does not consider admission characteristics, but instead uses 12 physiological variables measured in the first 24 h in the ICU.11
The IMPACT has been used for baseline risk adjustment in clinical trials in TBI (e.g., the Dexanabinol trial13), whereas the APACHE II is a common tool to adjust for differences in early intensive care and illness of severity in patients treated in the ICU.14,15 We recently found satisfactory performance of the APACHE II for predicting 6-month mortality in patients with TBI treated in the ICU.16 This implies that the APACHE II could be used for case-mix adjustment in TBI, as it has in other critically ill patients.
The aim of the present study was to create a new set of prediction models for patients with TBI treated in the ICU. We hypothesized that by combining the IMPACT, as an estimate of the severity of TBI, and the APACHE II, as an estimate of general illness severity, improved long-term outcome prediction would be achieved.
Methods
Patients and data collection
The ethics committee of Helsinki University Hospital (Helsinki, Finland) approved the study and waived the need for informed consent. The study population constituted of patients with moderate-to-severe TBI (admission Glasgow Coma Scale [GCS] 3–12) or complicated mild TBI (mTBI; admission GCS 13–15) treated in the ICU of one of the largest level 1 trauma centers in Scandinavia (Töölö Hospital, Helsinki University Hospital, catchment area population approximately 2 million) during a 4-year period (January 2009–December 2012). Definition of TBI was an S06.1–S06.9 ICD-10 (International Statistical Classification of Diseases and Related Health Problems, 10th Edition) diagnosis, caused by an external force.17 Patients with a history of head trauma, but no intracranial pathological findings (by computed tomography [CT] imaging) during the hospital stay, and those with subacute head injuries (>24 h) were not considered. Further exclusion criteria were age <16 years, penetrating head injury, dead on arrival, and death before CT imaging and/or ICU admission.10,11
Admission characteristics were assessed by an emergency department physician and were retrieved from subsequent electronic records. Patient head CT scans were retrospectively classified by a radiologist-neurosurgeon (R.K.) according to the Marshall and Rotterdam CT classification systems.18,19 The APACHE II variables were extracted from the ICU software (PICIS, Anesthesia Manager®) by 5-minute intervals to pinpoint the worst physiological and laboratory values measured in the first 24 h in the ICU.11 Treatment standards in the hospital followed the Brain Trauma Foundation guidelines.20
Outcome was 6-month mortality and neurological outcome. Non-Finnish citizens were excluded from the study, because they are not routinely followed up. Data on mortality were retrieved from the Finnish population register center (available for 100% of Finnish patients). Neurological outcome was determined based on outpatient clinic follow-ups by a neurosurgeon or neurologist 6 months from injury according to the Glasgow Outcome Scale (GOS), independently by two authors (R.R., J.S.), and dichotomized to unfavorable (GOS 1–3: death, vegetative state, or severe disability) and favorable (GOS 4–5: moderate disability and good recovery) outcome.21 GOS assessment agreement was good, with a kappa of 0.90 (95% confidence interval [CI], 0.86–0.95); discrepancies were resolved by verbal discussion.
Prediction models
The IMPACT and APACHE II scores were calculated using the original methods.10,11 The APACHE II is based upon 12 physiological variables (the most abnormal value measured in the first 24 h in the ICU), age, and chronic health status, giving a single score of 0–71. The IMPACT consists of three different models with increasing complexity (core, extended, and lab). The simplest IMPACT core consists of only age, motor score, and pupillary light reactivity and gives a single maximum score of 15. Addition of CT (epidural hematoma, traumatic subarachnoid hemorrhage, and Marshall CT classification) and secondary insult (hypoxia and hypotension) variables results in the IMPACT extended (maximal score, 22), and further addition of glucose and hemoglobin concentrations gives the IMPACT lab (maximum score, 29). None of the variables from the IMPACT and APACHE II overlap because they are measured on two separate occasions (measured on admission for IMPACT and measured during the first 24 h in the ICU for APACHE II).
For the development and internal validation of the new models, a split-sample technique, where the study population was randomly divided into a development and validation cohort, was used to mimic randomization.22 Three new models were created using logistic regression: 1) the IMPACTcore–APAHCE II; 2) the IMPACText–APACHE II; and 3) the IMPACTlab–APACHE II. Each model was designed for 6-month mortality and unfavorable neurological outcome prediction using the following equation: 1/(1+e-logit), where each model has its own defined logit. To validate our results, secondary internal validation, using a resample bootstrap technique, was performed.23 The equations of the new prediction models and the bootstrapped coefficients are found in the Supplementary Equations (see online supplementary material at http://www.liebertpub.com).
Statistical analyses
Categorical data are presented as n (%) and continuous data as median (interquartile range; IQR), unless otherwise mentioned. Differences between patients with good and poor outcome and between the validation and development cohort were tested using the chi-square (χ2; two-tailed) test for categorical variables. Continuous data were tested for skewness and appropriate statistical test chosen accordingly for univariate analyses: the Mann-Whitney's U test for skewed data and the Student's t-test for normal distributed data.
The performance of the models was evaluated by assessing discrimination (by area under the receiver operator characteristic curve [AUC]), calibration (by GiViTI [Gruppo Italiano per la Valutazione degli Interventi in Terapia Intensiva, or Italian Group for the Evaluation of Interventions in Intensive Care Medicine] calibration belt and the Hosmer-Lemeshow Ĉ-test [H-L]), and precision (Brier score).24
Discrimination refers to the model's ability to distinguish patients with good and poor outcome and is measured by the AUC. The AUC ranges from 0.5 (worst) to 1.0 (perfect). Generally, AUCs >0.90 are considered excellent, >0.80 good, >0.70 satisfactory, and <0.70 poor.25 The AUC of the new models were compared to the original models using the Venkatraman test.26 We also compared the performance of the new models to the original models by the continuous net reclassification improvement (NRI) test.27 The NRI calculates the proportion of patients with outcome correctly assigned a higher probability and patients without outcome correctly assigned a lower probability by the new model, compared to the original model.
Calibration refers to the model's ability to differ between good and poor outcome over the whole risk spectrum. The calibration is classically measured using the H-L (also called the goodness-of-fit test). The H-L test divides the patients into equal-sized deciles (compared to the Ĥ test, which divides patients into deciles based on risk rather than group size), for which it calculates a χ2 between the observed and predicted risk.28 p values over 0.05 indicate no statistical difference between the predicted and observed risk and the calibration is considered good, whereas p values under 0.05 indicate a significant difference between predicted and observed risk and the model is consequently considered to be poorly calibrated.28 However, the H-L test is largely sample-size dependent and has been criticized.29 To meet the critique of the H-L test, the GiViTI calibration belt was developed.30 The GiViTI test calculates the relationship between the observed and predicted risks by fitting a polynomial function between the two and calculates the 80% CI (light gray area) and 95% CI (dark gray area). The diagonal bisector line indicates perfect calibration, and a statistically significant deviation between the predicted and observed outcome (i.e., poor calibration) occurs when the 95% CIs do not encompass the bisector line. This makes it possible to visually identify risk intervals of model over- and underprediction.
Precision is an overall performance indicator, and measured by the Brier score is the average of the sum of the squared difference between observed and predicted risk.31 The Brier score ranges from 0.0 (perfect) to 0.25 (worst), with a 50% incidence of the outcome. When the outcome incidence is lower, the worst Brier score is lower. Accordingly, we performed the scaled Brier test calculating specific cut-off points for our data.
SPSS (version 21.0; IBM Corp., Armonk, NY), R (A Language and Environment for Statistical Computing; R-Foundation for Statistical Computing, Vienna, Austria), and Analyze-it for Microsoft Excel (version 3.5; Microsoft Corporation, Redmond, WA) were used for the statistical analyses. The PredictABEL library and was used for the H-L and NRI tests, the GiViTI library for the calibration belts, and the pROC library for the Venkatraman test.30,32,33
Results
In total, 1000 patients presenting with intracranial injury requiring admission to the ICU were screened, of which 890 met the study inclusion criteria (Fig. 1). Overall 6-month mortality was 23% (n=206 of 895), and 48% (n=99 of 206) died within 14 days of injury. A total of 48 patients were lost to follow-up, that is, their GOS could not be assessed (development cohort, n=24; validation cohort, n=24). Thus, 47% (n=394 of 842) of patients had unfavorable neurological outcome (GOS 1–3) 6 months from injury.
Patient median age was 58 years (IQR, 44–68), median Rotterdam CT score was 3 (IQR, 3–4), and 35% of patients underwent immediate mass lesion evacuation. Of all patients, 34% had a hospital admission GCS of 13–15 and 66% a hospital admission GCS of 3–12. Median Rotterdam score for patients with admission GCS 13–15 was 3 (IQR, 2–3), compared to 4 (IQR, 3–5), for those with an admission GCS of 3–12 (p<0.001). Of patients with an admission GCS of 13–15, 24% (n=71 of 301) underwent acute mass lesion evacuation after admission, compared to 41% (n=239 of 589) of those with an admission GCS of 3–12 (p<0.001).
There were some significant (p<0.05) differences in baseline characteristics between patients with good and poor outcome: Patients with poor outcome were younger, more often immunocompromised, had lower admission GCS, motor score, hemoglobin concentrations, platelet count and base excess, suffered more frequently from more hypoxia, had higher admission glucose concentrations, INR, and Rotterdam CT score, and fewer epidural hematomas (Table 1). Further, nonsurvivors had a shorter hospital length of stay (LOS), compared to survivors (p<0.001), and patients with unfavorable neurological outcome had longer ICU LOS, compared to patients with favorable outcome (p=0.002).
Table 1.
Six-month mortality | Six-month neurological outcomeb | ||||||
---|---|---|---|---|---|---|---|
Variable | All patients (n=895) | Survivors (n=684) | Nonsurvivors (n=206) | p valuea | Favorable outcome (n=448) | Unfavorable outcome (n=394) | p valuec |
Baseline characteristics | |||||||
Age | 58 (44–68) | 55 (41–65) | 65 (56–73) | <0.001 | 51 (35–63) | 63 (54–72) | <0.001 |
Chronic comorbidity | |||||||
Cardiovascular | 8 (1) | 5 (1) | 3 (2) | 0.396d | 2 (0) | 6 (2) | 0.156d |
Respiratory | 10 (1) | 7 (1) | 3 (2) | 0.705d | 4 (1) | 5 (1) | 0.741d |
Hepatic | 14 (2) | 8 (1) | 6 (3) | 0.105d | 6 (1) | 8 (2) | 0.591d |
Renal | 2 (0) | 1 (0) | 1 (1) | 0.410d | 0 (0) | 2 (1) | 0.219d |
Immunosuppression | 28 (3) | 14 (2) | 13 (6) | 0.002 | 9 (2) | 18 (5) | 0.035 |
Admission GCS | |||||||
3–8 | 379 (43) | 243 (35) | 136 (66) | <0.001 | 135 (30) | 228 (58) | <0.001 |
9–12 | 210 (24) | 168 (25) | 42 (20) | 111 (25) | 88 (22) | ||
13–15 | 301 (33) | 273 (40) | 28 (14) | 202 (45) | 78 (20) | ||
Admission motor score | |||||||
Obeys/localizes | 584 (66) | 502 (73) | 82 (40) | <0.001 | 347 (78) | 197 (50) | <0.001 |
Normal/abnormal flexion | 126 (14) | 89 (13) | 37 (18) | 55 (12) | 68 (17) | ||
None/extension | 180 (20) | 93 (14) | 87 (42) | 46 (10) | 129 (33) | ||
Admission GCS, median (IQR) | 10 (6–13) | 12 (7–14) | 6 (3–11) | <0.001 | 12 (8–14) | 7 (4–12) | <0.001 |
Admission motor score, median (IQR) | 5 (4–6) | 5 (4–6) | 4 (1–5) | <0.001 | 6 (5–6) | 5 (2–6) | <0.001 |
Worst 24-h GCS, median (IQR) | 9 (4–12) | 10 (7–12) | 4 (3–9) | <0.001 | 11 (8–13) | 7 (3–10) | <0.001 |
Worst 24-h motor score, median (IQR) | 5 (2–6) | 5 (4–6) | 2 (1–5) | <0.001 | 5 (4–6) | 4 (1–5) | <0.001 |
Pupils | |||||||
Both react | 668 (74) | 572 (83) | 96 (47) | <0.001 | 393 (88) | 235 (60) | <0.001 |
One reacts | 102 (12) | 67 (10) | 35 (17) | 31 (7) | 64 (16) | ||
None react | 120 (14) | 45 (7) | 75 (36) | 42 (5) | 95 (24) | ||
Hypotension | 61 (7) | 46 (7) | 15 (7) | 0.782 | 33 (7) | 26 (7) | 0.663 |
Hypoxia | 131 (15) | 86 (13) | 45 (22) | 0.001 | 49 (11) | 76 (19) | 0.001 |
Glucose (mmol/L) | 7.3 (6.1–8.8) | 7.0 (6.0–8.5) | 8.1 (6.8–9.5) | <0.001 | 7.0 (6.0–8.4) | 7.6 (6.3–9.3) | <0.001 |
Hemoglobin (g/dL) | 12.5 (11.1–13.8) | 12.8 (11.5–14.1) | 11.6 (10.4–12.9) | <0.001 | 13.0 (11.7–14.3) | 11.9 (10.8–13.2) | <0.001 |
Platelet count (109) | 187 (136–235) | 192 (142–236) | 164 (116–231) | 0.003 | 198 (147–242) | 171 (129–228) | <0.001 |
Base excess (mmol/L) | –1.6 (–4.4–0.6) | –1.4 (–4.1–0.7) | –2.4 (–5.2–0.5) | 0.017 | –1.5 (–4.1–0.5) | –1.8 (–4.7–0.9) | 0.431 |
INR | 1.1 (1.0–1.2) | 1.1 (1.0–1.2) | 1.1 (1.0–1.3) | <0.001 | 1.0 (1.0–1.1) | 1.1 (1.0–1.3) | <0.001 |
Marshall CT | |||||||
DI I | 15 (2) | 15 (2) | 0 (0) | <0.001 | 12 (3) | 2 (1) | <0.001 |
DI II | 275 (30) | 249 (36) | 26 (12) | 184 (41) | 74 (19) | ||
DI III–IV | 67 (8) | 49 (7) | 18 (9) | 32 (7) | 33 (8) | ||
EML/NEML | 533 (60) | 371 (55) | 162 (79) | 220 (49) | 285 (72) | ||
Rotterdam CT | |||||||
1–2 | 206 (23) | 178 (26) | 28 (14) | <0.001 | 130 (29) | 59 (15) | <0.001 |
3–4 | 478 (54) | 393 (58) | 84 (41) | 266 (59) | 186 (47) | ||
5–6 | 206 (23) | 112 (16) | 94 (45) | 52 (12) | 149 (38) | ||
Epidural hematoma | 92 (10) | 82 (12) | 10 (5) | 0.003 | 67 (15) | 19 (5) | <0.001 |
Traumatic SAH | 504 (57) | 379 (55) | 125 (61) | 0.181 | 237 (53) | 243 (62) | 0.010 |
Acute mass lesion evacuation | 310 (35) | 222 (33) | 88 (43) | 0.007 | 137 (31) | 162 (41) | 0.001 |
Length of stay (days) | |||||||
ICU | 2 (1–6) | 2 (1–6) | 2 (1–5) | 0.313 | 2 (1–5) | 3 (1–7) | 0.002 |
Hospital | 8 (4–5) | 8 (5–15) | 6 (2–14) | <0.001 | 8 (5–13) | 8 (3–17) | 0.775 |
Predicted risk of death | |||||||
IMPACT | |||||||
Core model | 24 (15–35) | 19 (12–24) | 48 (24–68) | <0.001 | 15 (12–24) | 29 (19–55) | <0.001 |
Extended model | 23 (15–41) | 19 (12–34) | 49 (28–75) | <0.001 | 39 (27–53) | 59 (46–85) | <0.001 |
Lab model | 22 (13–35) | 19 (11–26) | 46 (26–66) | <0.001 | 32 (18–44) | 57 (38–82) | <0.001 |
APACHE II | 22 (12–34) | 18 (12–28) | 37 (28–52) | <0.001 | 15 (9–25) | 31 (20–45) | <0.001 |
Observed outome | |||||||
14-day mortality | 99 (11) | 0 (0) | 99 (48) | — | 0 (0) | 99 (25) | — |
6-month mortality | 206 (23) | 0 (0) | 206 (100) | — | 0 (0) | 206 (52) | — |
6-month unfavorable outcomeb | 394 (47) | 188 (30) | 206 (100) | — | 0 (0) | 394 (100) | — |
Continuous data presented as median (IQR), categorical data presented as n (%).
Between 6-month survivors and nonsurvivors.
Total of 842 patients.
Between 6-month favorable and unfavorable neurological outcome.
Fischer's exact test.
APACHE II, Acute Physiology and Chronic Health Evaluation II; CT, computerized tomography; DI, diffuse injury; GCS, Glasgow Coma Scale; INR, international normalized ratio; IMPACT, International Mission for Prognosis and Analysis of Clinical Trials in Traumatic Brain Injury; SAH, subarachnoid hemorrhage.
After randomization, a total of 445 patients (50%) were allocated to the development cohort and 445 (50%) to the validation cohort. There were 24 patients with missing GOS in the respective cohort, leaving a total of 842 (development, 421; validation, 421) for the development and validation for the neurological outcome prediction models. There were no significant differences in IMPACT or APACHE II score variables between the development and validation cohorts (Table 2).
Table 2.
Variable | All (n=890) | Development (n=445) | Validation (n=445) | p value |
---|---|---|---|---|
Prediction model scores | ||||
IMPACT core sumscore | 5 (3–7) | 5 (3–7) | 5 (3–7) | 0.921 |
IMPACT extended sumscore | 7 (5–10) | 7 (5–10) | 7 (5–11) | 0.998 |
IMPACT lab sumscore | 10 (7–13) | 10 (7–13) | 9 (7–13) | 0.932 |
APACHE II total score | 19 (14–23) | 18 (14–23) | 19 (14–23) | 0.287 |
APS subscore | 15 (11–20) | 15 (11–19) | 15 (12–20) | 0.285 |
Chronic health subscore | 0 (0–0) | 0 (0–0) | 0 (0–0) | 0.999 |
Age subscore | 3 (0–5) | 3 (0–5) | 3 (2–5) | 0.346 |
GCS subscore | 6 (3–11) | 6 (3–11) | 6 (3–11) | 0.722 |
Outcome | ||||
14-day mortality | 99 (11) | 49 (11) | 50 (11) | 0.915 |
1-month mortality | 137 (15) | 63 (14) | 74 (17) | 0.307 |
3-month mortality | 178 (20) | 84 (19) | 94 (21) | 0.402 |
6-month mortality | 206 (23) | 98 (22) | 108 (24) | 0.427 |
6-month unfavorable outcomea,b | 394 (47) | 191 (45) | 203 (48) | 0.407 |
Continuous data presented as median (IQR), categorical data presented as n (%).
Total of 842 patients: 421 in the development and 421 in the validation cohort.
Unfavorable outcome defined as GCS 1 (dead), 2 (vegetative state), and 3 (severe disability).
APACHE II, Acute Physiology and Chronic Health Evaluation II; APS, Acute Physiology Score; GCS, Glasgow Coma Scale; IMPACT, International Mission for Prognosis and Analysis of Clinical Trials in Traumatic Brain Injury.
IMPACT versus APACHE II
The original models showed satisfactory to good discriminative power (AUC, 0.76–0.81) and poor to good calibration for 6-month mortality and neurological outcome prediction. There were no significant differences in AUC between the IMPACT models and the APACHE II for prediction of 6-month mortality (p>0.05 between all models; Table 3). However, the IMPACT models showed significantly higher AUCs for predicting 6-month neurological outcome, compared to the APACHE II (p<0.05 between all models; Table 4). The APACHE II showed good calibration for predicting mortality (p=0.099), but not neurological outcome (p<0.001). The IMPACT lab was the only model that showed good calibration (p>0.05) for both mortality and neurological outcome prediction by the H-L test (Fig. 2).
Table 3.
Prediction model | Discrimination AUC (95% CI) H-L p value | Calibration | Precision Brier score |
---|---|---|---|
All patients (n=890) | |||
APACHE IIa | 0.80 (0.77–0.84) | 0.099 | 0.139 |
IMPACT corea | 0.80 (0.77–0.83) | <0.001 | 0.140 |
IMPACT extendeda | 0.80 (0.77–0.83) | <0.001 | 0.144 |
IMPACT laba | 0.81 (0.78–0.84) | 0.054 | 0.136 |
Development sample (n=450) | |||
APACHE IIa | 0.80 (0.75–0.84) | 0.364 | 0.137 |
IMAPCT corea | 0.78 (0.73–0.84) | 0.030 | 0.137 |
IMPACT extendeda | 0.79 (0.74–0.84) | 0.001 | 0.143 |
IMPACT laba | 0.80 (0.76–0.85) | 0.103 | 0.133 |
IMPACTcore-APACHE II | 0.84 (0.79–0.88) | 0.915 | 0.117 |
IMPACText-APACHE II | 0.84 (0.79–0.88) | 0.366 | 0.119 |
IMPACTlab-APACHE II | 0.84 (0.80–0.88) | 0.727 | 0.119 |
Validation sample (n=450) | |||
APACHE IIa | 0.81 (0.76–0.86) | 0.315 | 0.142 |
IMAPCT corea | 0.81 (0.77–0.86) | 0.063 | 0.143 |
IMPACT extendeda | 0.81 (0.76–0.86) | 0.026 | 0.144 |
IMPACT laba | 0.82 (0.77–0.86) | 0.441 | 0.138 |
IMPACTcore-APACHE II | 0.84 (0.80–0.89) | 0.690 | 0.125 |
IMPACText-APACHE II | 0.84 (0.80–0.89) | 0.515 | 0.123 |
IMPACTlab-APACHE II | 0.85 (0.81–0.89) | 0.198 | 0.123 |
The predicted risk of 6-month mortality using the new models can be calculated by the equation: 1/(1+e-logit), where the logit is defined as:
logitIMPACTcore-APACHE II=−6.004+0.234 * IMPACTcore sumscore+0.160 * APACHE II score
logitIMPACText-APACHE II=−6.265+0.193 * IMPACText sumscore+0.158 * APACHE II score
logitIMPACTlab-APACHE II=−6.516+0.187 * IMPACTlab sumscore+0.149 * APACHE II score
Original models.
AUC, area under the curve; CI, confidence interval; H-L, Hosmer-Lemeshow Ĉ-test (goodness of fit); APACHE, Acute Physiology and Chronic Health Evaluation; IMPACT, International Mission for Prognosis and Analysis of Clinical Trials in TBI.
Table 4.
Prediction model | Discrimination AUC (95% CI) | Calibration H-L p value | Precision Brier score |
---|---|---|---|
All patients (n=842) | |||
APACHE IIa | 0.76 (0.73–0.79) | <0.001 | 0.248 |
IMPACT corea | 0.78 (0.75–0.81) | <0.001 | 0.193 |
IMPACT extendeda | 0.79 (0.76–0.82) | 0.006 | 0.190 |
IMPACT laba | 0.79 (0.76–0.82) | 0.078 | 0.188 |
Development sample (n=421) | |||
APACHE IIa | 0.74 (0.69–0.79) | <0.001 | 0.250 |
IMAPCT corea | 0.75 (0.71–0.79) | <0.001 | 0.234 |
IMPACT extendeda | 0.76 (0.72–0.80) | 0.008 | 0.202 |
IMPACT laba | 0.76 (0.72–0.81) | 0.008 | 0.199 |
IMPACTcore-APACHE II | 0.78 (0.74–0.82) | 0.283 | 0.190 |
IMPACText-APACHE II | 0.79 (0.74–0.83) | 0.327 | 0.188 |
IMPACTlab-APACHE II | 0.79 (0.74–0.83) | 0.318 | 0.188 |
Validation sample (n=421) | |||
APACHE IIa | 0.78 (0.74–0.82) | <0.001 | 0.245 |
IMAPCT corea | 0.81 (0.77–0.85) | <0.001 | 0.227 |
IMPACT extendeda | 0.82 (0.78–0.85) | 0.221 | 0.177 |
IMPACT laba | 0.82 (0.78–0.86) | 0.712 | 0.177 |
IMPACTcore-APACHE II | 0.83 (0.79–0.87) | 0.476 | 0.170 |
IMPACText-APACHE II | 0.83 (0.80–0.87) | 0.037 | 0.167 |
IMPACTlab-APACHE II | 0.83 (0.80–0.87) | 0.439 | 0.168 |
The predicted risk of six-month unfavorable outcome using the new models can be calculated by the equation: 1/(1+e-logit), where the logit is defined as:
logitIMPACTcore-APACHE II=−3.363+0.198 * IMPACTcore sumscore+0.113 * APACHE II score
logitIMPACText-APACHE II=−3.551+0.175 * IMPACText sumscore+0.105 * APACHE II score
logitIMPACTlab-APACHE II=−3.732+0.162 * IMPACTlab sumscore+0.099 * APACHE II score
Original models.
AUC, area under the curve; CI, confidence intervals; H-L, Hosmer-Lemeshow Ĉ-test (goodness of fit); APACHE, Acute Physiology and Chronic Health Evaluation; IMPACT, International Mission for Prognosis and Analysis of Clinical Trials in TBI.
IMPACT plus APACHE II
Performance measures of the new combined IMPACT-APACHE II models are shown in Tables 3 (mortality) and 4 (neurological outcome). There were no significant differences in AUC between the development and validation cohort. The new combined models showed significantly higher AUCs, compared to the original IMPACT core (p=0.026), extended (p=0.039), and lab models (p=0.043) for predicting 6-month mortality (Fig. 3). Reclassification testing showed 54.3–81.6% of patients dying to be better classified by the new models, compared to the original IMPACT models (p<0.001) and 84.5–87.1% of patients dying to be better classified, as compared to the APACHE II (p<0.001; Table 5).
Table 5.
Mortality | Unfavorable outcome | ||||
---|---|---|---|---|---|
Updated model | Reference model | NRI (95% CI) | p value | NRI (95% CI) | p value |
IMPACTcore-APACHE II | IMPACT core | 77.6 (57.6–98.3) | <0.001 | 14.3 (5.0–23.5) | 0.003 |
APACHE II | 84.5 (64.3–104.6) | <0.001 | 5.4 (0.4–10.5) | 0.035 | |
IMPACText-APACHE II | IMPACT extended | 54.3 (34.2–74.3) | <0.001 | 23.2 (5.9–40.6) | 0.009 |
APACHE II | 86.3 (66.2–106-4) | <0.001 | 12.8 (5.8–19.8) | <0.001 | |
IMPACTlab-APACHE II | IMPACT lab | 81.6 (61.3–101.9) | <0.001 | 16.3 ([−2.7] −35.3) | 0.093 |
APACHE II | 87.1 (67.0–107.2) | <0.001 | 10.9 (3.8–17.9) | 0.003 |
NRI values (with 95% CI) shown in percent (%).
NRI, Net Reclassification Improvement; CI, confidence interval, APACHE II, Acute Physiology and Chronic Health Evaluation II; IMPACT, International Mission for Prognosis and Analysis of Clinical Trials in Traumatic Brain Injury.
For the prediction of 6-month unfavorable outcome, the new combined models showed significantly higher AUCs, compared to the APACHE II (p<0.05), but not compared to the original IMPACT models (p>0.05; Fig. 3). However, reclassification testing showed 14.3% (IMPACTcore–APACHE II), 23.2% (IMPACText–APACHE II), and 16.3% (IMPACTlab–APACHE II) improvements in risk stratification by the new combined models, compared to the original IMPACT models, for unfavorable outcome prediction (p<0.05; Table 5).
The new models showed good calibration with no significant over- or underprediction intervals (Fig. 4). In the validation cohort, 6-month mortality was 26% and unfavorable outcome 48%, accordingl; for mortality, Brier scores ≤0.046 were considered excellent, 0.046–0.091 good, 0.091–0.137 satisfactory, and >0.137 poor; for neurological outcome, Brier scores ≤0.062 were considered excellent, 0.064–0.125 good, 0.125–0.187 satisfactory, and >0.187 poor. All new models displayed satisfactory precision, both regarding mortality (Brier score, 0.121–0.123) and neurological outcome (Brier score, 0.167–170).
Secondary internal bootstrapping gave similar results to that of the primary internal validation using the split-sample technique, indicating low grade of model overfitting (see Supplementary Equations) (see online supplementary material at http://www.liebertpub.com).
Post-hoc analysis
Because the IMPACT model was specifically developed for patients with an admission GCS of 3–12, we conducted post-hoc analysis testing this subgroup separately from those with an admission GCS of 13–15. In those with an admission GCS 3–12, AUC was 0.78–0.79 for mortality prediction and 0.76 (for all three models) for neurological outcome prediction. In comparison, in patients with an admission GCS of 13–15, the AUC was 0.73–0.75 for mortality prediction and 0.77 (for all three models) for neurological outcome prediction.
Discussion
In this article, we describe the development of a series of prediction models, combining the IMPACT and the APACHE II, to predict risk of 6-month outcome in patients with TBI treated in the ICU. Further, this article shows an external validation of the IMPACT and the APACHE II models in such patients. We found the predictive performance of the IMPACT models to significantly increase after the addition of the APACHE II. Our results remained robust after internal validation, using both a split-sample technique and a bootstrap technique, indicating low grade of overestimation. Our findings may be applicable for heterogeneity adjustment in forthcoming epidemiological studies and clinical trials in TBI.
Further, this is, to our knowledge, the first study showing that the IMPACT model discriminates well for patients presenting with mTBI,before deterioration and ICU admission (i.e., complicated mTBI). Currently, there are no established prediction models for mTBI (uncomplicated or complicated) as there are for moderate-to-severe TBI. Future studies should look into using the IMPACT model as a framework for further development of mTBI prediction models.
IMPACT versus APACHE II
The APACHE II is one of the world's most-used ICU scoring systems and is frequently used as a measure of quality of care by calculating the ratio between predicted and observed outcome (i.e., standardized mortality ratio; SMR).14 However, the APACHE II was developed for general ICU populations and its applicability to patients with TBI has previously been uncertain.34 Further, calculating SMR based on hospital mortality prediction may cause biased results.35 This is of special concern in patients with TBI, where a significant number of patients die subsequent to hospital discharge (approximately half of patients died within the first 14 days of injury in the present study).36 Another major concern of the APACHE II is that it uses data from the first day in the ICU. Any score that uses data collected over this time is affected by the quality of care given—the very same thing you are trying to assess.37 Patients initially receiving poor care will have higher APACHE II scores resulting in overestimation of mortality and falsely low SMR values. The IMPACT model avoids this because it only uses characteristics assessed upon hospital admission, and thus the IMPACT is not affected by later care.
Although the IMPACT and APACHE II were designed for different purposes and differ substantially from each other, we found no significant differences in 6-month mortality predictive performance between the models (AUC, 0.80 vs. 0.78–0.80). Likewise, we recently showed satisfactory discrimination (AUC, 0.79) of the APACHE II for the prediction of 6-month mortality in patients with TBI treated in the ICU.16 We believe this to be an effect of the APACHE II being originally designed to predict in-hospital mortality, but was, in the current study, used to predict 6-month mortality. This causes the improved outcomes that are achieved over time to be cancelled out by excess mortality after hospital discharge. This is supported by the fact that the APACHE II showed inferior performance for predicting neurological outcome, compared to mortality. It may be argued that, for future epidemiological TBI studies, the APACHE II might suffice for mortality analyses, whereas the IMPACT is better calibrated for neurological outcome analyses.
IMPACT plus APACHE II
Most validated prediction models in TBI have been mainly based on admission characteristics. Although substantial insights have been gained into the prognostic value of variables obtained during the subsequent treatment course, these have not, before the present study, been implemented in prognostic models.9 Applying the new IMPACT–APACHE II models may offer several advantages over using the single admission characteristics model. First, in clinical trials, it would be possible not only to adjust for baseline risk differences, but also for differences in treatment standards between participating centers. This might increase statistical power of future studies. Second, for the evaluation of quality of delivered care in ICUs, it would be possible to more accurately differ between high- and low-performing units. For units reporting high mortality or unfavorable outcome rates, but low baseline risks, quality of delivered treatment might be questioned. In contrast, units reporting high baseline risks, but low mortality or unfavorable outcome rates, would be considered high performing. Third, the new models offer us important tools in proper case-mix adjustment for comparative effectiveness research between countries, centers, ICUs, and patients to identify best practices in the heterogeneous field of TBI research.38
Although we found the newly developed IMPACT–APACHE II models to significantly improve the individual models for mortality prediction, the improvements were less robust for neurological outcome prediction. Future studies should look at the possibility of increasing neurological outcome prediction accuracy. This may be achieved by including more TBI-specific intensive care variables, such as measures of intracranial pressure, cerebral perfusion pressure, partial brain tissue oxygenation, microdialysate monitoring, and different biomarkers.39–41 Further, although the IMPACT models were introduced in 2008, they were developed upon studies conducted in 1984–1997.42 Since then, advances in ICU and TBI treatment has been made, for example, the release of standardized international guidelines for the treatment of patients with TBI, cerebral perfusion pressure-targeted therapies, and advances in radiological techniques.20 These advances may have improved patient outcome, which could explain why the IMPACT model was found to consistently overpredict risk of poor outcome in the present study (explaining the poor calibration noted for the original IMPACT models in our study). Thus, recalibration of the IMPACT models should be considered in the future to fit the underlying population and current practices.
Limitations
There are some limitations of the present study that have to be considered. First, because of the retrospective design of the study, we were limited to the simple GOS and could not assess the more-sensitive extended GOS.43 Second, this was a single-center retrospective study, and thus these findings should be replicated in other settings. Third, data on extracranial injury severity were not available for all patients, but we have showed, in a previous study using a similar study sample, that the inclusion of extracranial injuries (by injury severity score) did not add any significant predictive ability to the IMPACT.44
Conclusion
The IMPACT and APACHE II models showed equal performance for 6-month mortality prediction in patients with TBI treated in the ICU. However, for neurological outcome prediction, the IMPACT was superior to the APACHE II. Combining the IMPACT and APACHE II resulted in superior 6-month mortality and neurological outcome predictive performance, compared to the individual models.
Supplementary Material
Acknowledgments
The study was funded by a Helsinki University Hospital EVO grant (TYH2012142), Medicinska Understödsföreningen Liv och Hälsa and by the Maire Taponen foundation. The authors express their gratitude to Jaakko Lappalainen (MD, PhD) and Professor Per Rosenberg (MD, PhD) for their valuable comments on the manuscript and to Giovanni Nattino (IRCCS-Istituto di Ricerche Farmacologiche “Mario Negri” Laboratory of Clinical Epidemiology) and Tuomas Selander (Science Service Center, Kuopio University Hospital) for their statistical assistance.
Author Disclosure Statement
No competing financial interests exist.
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