Abstract
It is highly important to anticipate impending problems in patients in the cardiothoracic intensive care
unit (CTICU) and be proactive with respect to prediction of adverse events, enabling interventions to
prevent them. In order to develop models that predict the occurrence of adverse events after cardiac
surgery, a dataset of 9,237 patients was constructed of a single center’s Society of Thoracic Surgeons
(STS) internal database. 1,383 of those patients had developed at least one of seven defined adverse
events for this analysis. For the control set, we randomly picked 1,383 patients from the group who did
not develop any adverse event. The ensemble learning algorithm, random forest, was applied and
outperformed the best reported logistic regression models for similar task (c-statistic of ~0.81), by
achieving an AUC of 0.86 with a 95% CI of [0.81-0.90], specificity of 0.72, sensitivity of 0.82, PPV of 0.78
and NPV of 0.77. In the future, we plan to run a similar evaluation process on a multicenter dataset, and
then use this static prediction model as a context for using time-evolving data to develop algorithms for
real-time feedback to care teams. In acute care settings, such as the operating room and intensive care
unit, the ability to anticipate potentially fatal complications will be enhanced by using supervised
machine learning algorithms.
Introduction
When untoward events occur after cardiac surgery, a rapid response is needed. The intensive care
environment offers the patients the best chance of survival. Risk-adjusted mortality rates following
cardiac surgery vary 2.5-fold across low and high-performing hospitals [Ghaferi et al. 2009] and a portion
of the variability in hospital mortality rates may be attributed to differences in a concept known as
“failure to rescue.” Failure to rescue (FTR) is the inability to prevent a patient’s death following a
complication. Enhancing the ability to predict or respond rapidly and effectively to untoward events
translates into lower morbidity and mortality rates. For example, in Reddy et al. [2013], the following
seventeen complications were associated with FTR: Multi-system organ failure, coma, cardiac arrest,
renal dialysis, sepsis, anticoagulation event, gastrointestinal event, intensive care unit readmission,
prolonged ventilation, reoperation for bleeding, pneumonia, stroke, cardiac tamponade, pulmonary
embolism, deep sternal wound infection, heart block, and aortic dissection. At Maine Medical Center
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(MMC) the FTR metric is tracked on a statistical process control chart that is published quarterly
depicting the last 5 years of experience. An example of a statistical process control chart for FTR is
shown in Figure 1.
Figure 1: Statistical process control chart for Failure To Rescue
Using a different set of four variables (prolonged ventilation, stroke, reoperation, and renal failure),
Kurlansky et al. [2021], built the binary classification ability of the task of distinguishing between failure
to rescue (FTR) cases or not. However, although we did not evaluate on the same data set, their best
performing logistic regression analysis [Sperandei 2014] achieved a c-statistic of 0.81 in the binary
classification task of identifying FTR cases. Kurlansky did not report additional performance metrics such
as sensitivity, specificity, PPV, NPV or 95% CI. Figure 2 demonstrates the AUC graph of logistic regression
and random forest respectively. On earlier works using the STS Adult Cardiac Surgery Database, Shahian
et al. [2018] and O’Brien et al. [2018] developed risk scores for nine different outcomes of interest:
Operative mortality, stroke, renal failure, prolonged ventilation, reoperation, mediastinitis/deep sternal
wound infection (DSWI), major morbidity or mortality composite, prolonged postoperative length of stay
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(POLOS), or short POLOS. O’Brien et al. [2018] identified 70 static variables used to construct risk scores
for these outcomes. (Supplement 1)
The following are shortcomings of the current works quoted above:
1. The results cannot be replicated because the functional form of the risk estimators is not
described in either Shahian et al. [2018], O’ Brien et al. [2018], or Kurlansky et al. [2021].
2. The performance of these risk models is not described in a way that supports their full
evaluation as predictors.
3. The performance of these risk scores is only assessed by the sole metric provided (the c-statistic,
another name for the more commonly used term AUC).
4. The relative weight of each variable used to generate the risk scores (Supplement 1) was not
included in the publications.
In our approach, we addressed these limitations by providing insights on the most important variables
that affected the predicted outcome. These outcomes are reported through evaluation of the AUC. The
curve referred to is the receiver operating characteristic (ROC) curve. In the context of the ROC,
sensitivity is the proportion of true cases that are predicted as being true and specificity is the
proportion of false cases that are predicted as being false. The positive predictive value (PPV) is the
proportion of all true cases that are true, and the negative predictive value (NPV) is the proportion of all
false cases that are false.
Methods
Data source
The Society of Thoracic Surgeons (STS) Adult Cardiac Surgery Database (ACSD) was queried to develop a
dataset including cardiac surgery cases from a single center (Maine Medical Center) over a 9-year period
from January 1, 2012 to December 31, 2021, which included 9,237 patients. All patient identifiers and
private health information (PHI) were removed for patient protection. The project was submitted to the
Maine Medical Center (MMC) Institutional Review Board (IRB), who determined the project to be “non-
research” in a letter dated September 11, 2021.
Cohort
The model for identifying patients who would develop one or more of the following seven adverse
events (STS NQF endorsed measures) after cardiac surgery included:
1. Reoperation for any cardiac reason
2. Renal failure
3. Deep sternal wound infection
4. Prolonged ventilation
5. CVA (stroke)
6. 30-day mortality
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7. Mortality status at hospital discharge
We searched the 9,237 patient dataset from the MMC STS registry for patients that developed one of the
seven adverse events mentioned above, lumped them, and found 1,383 patients, as seen in Table 1. For
the control set, we randomly picked 1,383 patients from those who did not develop an adverse event.
Table 1 Patient characteristics
The T-test was used to calculate p-values for group differences in numerical (continuous) variables and
chi-squared tests were used to calculate p-values for group differences in categorical variables. Data
presented as either mean (SD) or value (%).
Variable
Control cases
N = 7,854
Adverse
event cases
N=1,383 p-value
Age (SD) 64.8 (11.9) 66.0 (12.3) 0.0007
Gender (% Female) 2076 (26.4) 446 (32.2) <0.0001
Race (%) 0.7991
White 7704 (98.1) 1354 (97.9)
Black 50 (0.6) 13 (0.9)
Asian 32 (0.4) 5 (0.4)
Native American 19 (0.2) 2 (0.1)
Other 49 (0.6) 9 (0.7)
BMI (SD) 30.0 (8.9) 29.3 (6.4) 0.0009
Ejection Fraction (SD) 55.2 (10.4) 48.6 (14.7) <0.0001
Clinical Status in OR (%) <0.0001
Non-Urgent 3415 (43.5) 442 (32.0)
Urgent 4211 (53.6) 716 (51.8)
Emergent 227 (2.9) 218 (15.8)
Emergent Salvage 1 (0.0) 7 (0.5)
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Creatinine (SD) 1.04 (0.71) 1.24 (0.84) <0.0001
Hypertension (%) 6376 (81.2) 1122 (81.1) 0.9625
Cardiogenic Shock (%) <0.0001
None 7797 (99.3) 1209 (87.4)
At Time of Procedure 46 (0.6) 161 (11.6)
<24hr After Procedure 11 (0.1) 13 (0.9
Cardiac Symptoms at
Admission (%) <0.0001
None 193 (2.5) 22 (1.6)
Stable Angina 241 (3.1) 14 (1.0)
Unstable Angina 2358 (30.2) 195 (14.1)
NSTEMI 1717 (21.9) 329 (23.8)
STEMI 193 (2.5) 107 (7.7)
Angina Equivalent 209 (2.7) 33 (2.4)
Other 2933 (37.3) 683 (49.4)
Existing models
To compare our results to the performance of existing models, we searched and found the models
developed by Shahian et al. [2018], O’ Brien et al. [2018], and Kurlansky et al. [2021]. The performance
of these risk models in O’Brien et al. are not described in a way that supports their full evaluation as
predictors and they are evaluated by only the c-statistic (AUC), which were modest, ranging from 0.57 to
0.81. In O’Brien et al., “…the bootstrap-adjusted c-statistics were lowest for reoperation (range, 0.574 to
0.627) followed by stroke (range, 0.616 to 0.704) and were highest for renal failure (range, 0.749 to
0.810).” AUC of 0.57 is only slightly better than that of a random unbiased coin toss.
Our model
We built machine learning models using MMC data divided into cases and controls. For the missing
values of the data we used the imputation technique of the most common value in the dataset. We used
the ensemble learning technique of random forest [Malley et al. 2011]. 90% of the patients in our
dataset were used for building a model and 10% were reserved for accuracy testing.
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Results
After creating the cohort of 1,383 patients with at least one of the adverse events and the control group
of 1,383 patients that did not have any adverse events, the patients were randomly sampled in order to
build a balanced dataset. They were divided into 90% and 10% training and test set respectively. The
random forest model achieved an AUC of 0.86 and better specificity of 0.72, which indicates higher
ability of identifying patients that will have complications. The model has a sensitivity of 0.82, which
indicates a lower ability of identifying patients that will not have complications, a lower performance on
PPV (positive predictive value) of 0.78 and NPV (negative predictive value) of 0.77 and higher confidence
with a 95% CI of [0.82-0.9]. Figure 2 shows the area under the curve for this model.
Figure 2: Area under the curve for the random forest model with all adverse events
In order to understand the input variables that contributed the most to the model outcome, see
supplement 1, a list of all variables used as input to the models and supplement 2, a list of the 20 ranked
variables that contributed most to outcomes according to the random forest model.
The top five of the 20 variables that most contributed to outcomes are:
1. When IABP was inserted
2. Lowest measured hematocrit recorded in the operating room
3. Ejection Fraction
4. Platelet count closest to the date and time prior to surgery but prior to anesthetic management
5. Patient age
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Limitations
While this model is based on a large sample size from a nine-year period, it is a single center experience
and a considerably smaller sample size than that upon which the existing logistic regression prediction
models that we used for comparison are based. Future models will be based on a larger multi-center
dataset.
Summary
We built a machine learning model using the ensemble learning technique, random forest, which
employs multiple learning algorithms. Nine recent years of the STS database were queried at a single
center. We created a prediction model that out-performed existing logistic regression prediction models
in cardiac surgery as our prediction model had an AUC of 0.86 for multiple adverse events. Furthermore,
the dynamic design of this multi-algorithmic machine learning model is designed to improve with time
and more data. In the future, combining this static data with time-evolving data in dynamic settings such
as the operating room or intensive care units will drive real-time feedback to the care team with
potential improvement in failure to rescue rates. In the future, given the importance of the integration of
multimodal data for accurate prediction as shown by Amal et al. [2022], we will be combining the
current static data with time-evolving data in dynamic settings such as the operating room or intensive
care units will drive real-time feedback to the care team with potential improvement in failure to rescue
rates. In addition, as done by Ghanzouri et al. [2022] we will add visualization to reflect the risk score
with the physicians. Additional future work, we will perform user study similar to Ho et al. [2022] that
will collect feedback from the surgeons.
References
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Supplement 1 Static variables used to construct risk scores for these outcomes identified by O’Brien
et al [2018]. ACE = angiotensin-converting enzyme; ADP = adenosine diphosphate; ARB =
angiotensin-receptor blocker; AVR = aortic valve replacement; CABG = coronary artery bypass grafting
surgery; CAD = coronary artery disease; CBA = catheterization-based assist device; CVA = cerebrovascular
accident; CVD = cardiovascular disease; ECMO = extracorporeal membrane oxygenation; IABP = intra-
aortic balloon pump; ICD = implantable cardioverter-defibrillator; LAD = left anterior descending artery;
PAD = peripheral arterial disease; PCI = percutaneous coronary intervention; TIA = transient ischemic
attack.
Operation type
Age
Ejection fraction
Body mass index
Body surface area
Sex
Renal function (dialysis/creatinine)
Hematocrit
White blood cell count
Platelet count
ADP receptor inhibitor usage/timing of
discontinuation
Illicit drug use
Alcohol consumption (drinks per week)
Recent pneumonia
Mediastinal radiation
Cancer diagnosis within 5 years
Diabetes/diabetes control method
Number of diseased vessels
Myocardial infarction history/timing
Cardiac presentation on admission
Race/ethnicity
Status
ACE/ARB inhibitor within 48 hours in non-elective operation
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Hypertension
Immunosuppressive therapy within 30 days
Steroids within 24 hours
Glycoprotein IIb/IIIa inhibitor within 24 hours
Inotropes within 48 hours
Preoperative IABP
Shock/ECMO/CBA
PAD
Left main disease
Proximal LAD
Aortic root abscess in AVR/AVR+CABG
Mitral stenosis
Aortic stenosis
Mitral insufficiency
Tricuspid insufficiency
Aortic insufficiency
Arrhythmia and type
Endocarditis
Chronic lung disease
CVD/CVA/TIA
Carotid stenosis
Previous carotid surgery
Heart failure class and timing
Recent smoker/timing
Family history of CAD
Home oxygen
Sleep apnea
Liver disease
Unresponsive neurologic status
Syncope
Previous CABG
Previous aortic valve procedure
Previous mitral valve procedure
Previous transcatheter valve replacement/percutaneous
valve repair
Previous other valve procedure
Number of previous cardiovascular surgeries
Previous ICD
PCI history/timing
Previous any other cardiac intervention
Payer/insurance type
Tricuspid valve repair performed concomitantly
Time trend (surgery date)
Supplement 2 Static variables used in random forest algorithm
Patient Age
Pre Op Ejection Fraction
Body mass index
Height (cm)
Weight (kg)
Sex
Pre Op Dialysis
Last Creatinine level
Pre Op Hematocrit
Pre Op White blood cell count
Pre Op Platelet count
Pre Op Hypertension
Immunosuppressive therapy w/in 30 days of procedure
Pre Op Transient ischemic attack
Carotid stenosis
Illicit drug use
Alcohol Use (drinks per week)
Recent pneumonia
Pre Op mediastinal radiation
Cancer diagnosis within 5 years
Pre Op Diabetes
diabetes control method
Number of diseased vessels
Prior myocardial infarction
Prior myocardial infarction timing
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Steroids within 24 hours of procedure
Glycoprotein IIb/IIIa inhibitor w/in 24 hours of procedure
Inotropes within 48 hours of procedure
IABP Insertion Timing
Pre Op Cardiogenic shock
ECMO Insertion Timing
Temp assist Device Type (Open or Catheter)
Catheter based assist device insertion timing
Peripheral Arterial Disease
Left main coronary artery disease
Proximal LAD percent stenosis
Aortic valve disease etiology
Mitral valve stenosis
Aortic valve stenosis
Pre Op Mitral insufficiency grade
Pre Op Tricuspid insufficiency grade
Pre Op Aortic insufficiency grade
Arrhythmia type
Pre Op Endocarditis
Pre Op Chronic lung disease
Pre Op Cerebrovascular disease
CVA
Cardiac presentation on admission
Race Documented
Patient Race
Hispanic, Latino or Spanish ethnicity
Operative Status
Heart failure history
Heart failure timing
Heart failure type
NYHA classification
Pre Op Tobacco use
Family history of Premature CAD
Home oxygen use
Pre Op Sleep apnea
Pre Op Liver disease
Pre Op Unresponsive neurologic status
Pre Op Syncope
Previous CABG procedure
Previous valve procedure
Previous valve procedure type
Previous other cardiac procedure type
Primary payer/insurance type
Tricuspid valve repair performed
Surgery date
Supplement 3 Top twenty variables with rank of importance
Variable name Rank of
Importance
IABP Insertion Timing 1
Lowest Intra Op Hematocrit 2
Pre Op Ejection Fraction 3
Pre Op Platelets 4
Patient Age 5
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Height (cm) 6
Pre Op Tricuspid Regurgitation Grade 7
Pre Op Mitral Regurgitation Grade 8
Pre Op NYHA Classification 9
Operative Status 10
Number of Diseased Vessels 11
Primary Coronary Symptom for Surgery 12
Alcohol use (drinks per week) 13
Last Creatinine Level 14
Aortic Valve Stenosis (Y/N) 15
Proximal LAD Percent Stenosis 16
Prior myocardial infarction timing 17
Pre Op Chronic Lung Disease 18
Home Diabetes Control Method 19
Pre Op Tobacco Use 20
Glossary
1. ACE: angiotensin-converting enzyme
2. ADP: adenosine diphosphate
3. ARB: angiotensin-receptor blocker
4. ASCD: Adult Cardiac Surgery Database
5. AUC: Area under the curve
6. AVR: aortic valve replacement
7. CABG: coronary artery bypass grafting surgery
8. CAD: coronary artery disease
9. CBA: Catheterization-based assist device
10. CI: Confidence interval
11. CVA: Cerebrovascular accident
12. CVD: Cardiovascular disease
13. CTICU: Cardiothoracic Intensive Care Unit
14. DSWI: Deep sternal wound infection
15. ECMO: Extracorporeal membrane oxygenation
16. FTR: Failure to rescue
17. IABP: Intra- aortic balloon pump
18. ICD: Implantable cardioverter-defibrillator
19. IRB: Institutional Review Board
20. LAD: Left anterior descending artery
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21. MMC: Maine Medical Center
22. NPV: Negative predictive value
23. NQF: National Quality Forum
24. PAD: Peripheral arterial disease
25. PCI = percutaneous coronary intervention
26. POLOS: Postoperative length of stay
27. PPV: Positive predictive value
28. ROC: Receiver operating curve
29. STS: Society of Thoracic Surgeons
30. TIA: Transient ischemic attack
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