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The Canadian Journal of Cardiology logoLink to The Canadian Journal of Cardiology
. 2006 Mar;22(3):221–227. doi: 10.1016/s0828-282x(06)70900-x

The Toronto Risk Score for adverse events following cardiac surgery

Joan Ivanov 1,2,3,, Michael A Borger 1, Vivek Rao 1, Tirone E David 1
PMCID: PMC2528924  PMID: 16520853

Abstract

OBJECTIVE

To develop and validate an objective and reliable measure of acuity that will identify high-risk patients and predict length of stay following all cardiac surgery procedures.

METHODS

Logistical regression analysis of 12,683 patients undergoing cardiac surgery between 1996 and 2000 was used to identify the independent predictors of postoperative adverse events (AEs, defined as death, myocardial infarction, low cardiac output syndrome, postoperative renal failure, stroke or deep sternal wound infection). The rounded ORs for each of the 18 predictors of AEs were summed to calculate the Toronto Risk Score (TRS) for each patient. Weighted linear regression was used to determine the relationship between TRS and length of stay in the 4378 patients who underwent cardiac surgery between 2001 and 2002.

RESULTS

TRS was significantly associated with cardiovascular intensive care unit length of stay (R2=0.85, slope=0.42, intercept=0.4; P<0.001). For each unit increase in TRS, cardiovascular intensive care unit length of stay increased by 0.4±0.05 days. TRS was also significantly associated with total postoperative length of stay (R2=0.88, slope=0.71, intercept=4.9; P<0.001). TRS captured a significant increase in acuity from 1996 and 2000 (5.12±3.5) to 2001 and 2002 (5.54±3.5; P<0.001). Despite increased acuity, AEs were reduced in 2001 and 2002 (8.1%) compared with 1996 to 2000 (9.8%; P=0.012).

CONCLUSIONS

The TRS is a valid measure of acuity that can identify patients who are at high risk of experiencing an AE and having prolonged length of stay after any cardiac surgery procedure, capture changes in acuity over time and allow for continuous quality performance evaluation.

Keywords: Acuity, Cardiac surgery, Length of stay, Quality evaluation, Risk index


Increased acuity in patients undergoing cardiac surgery combined with constrained resources requires that both administrators and clinicians have reliable tools for quality performance evaluation, operational management and long-term planning. Acuity refers to those combinations of demographics, risk factors and pathology that are associated with poorer clinical outcomes. Over the past decade, the use of predictive rules to calculate risk-adjusted or risk-stratified operative mortality following cardiac surgery have become part of normal practice for both administrators and clinicians in many jurisdictions. Most of these algorithms have been developed for operative mortality following isolated coronary artery bypass graft (CABG) surgery (17), with fewer incorporating valvular and other cardiac procedures (8,9). Often, these models contain similar risk factors and risk weights (10). However, models that address hospital mortality may not reflect risk factors associated with prolonged length of stay. Adverse events (AEs) following cardiac surgery are associated with increased patient risk factors and remain the major determinants of prolonged length of stay resulting in increased costs and increased burden of illness to the patient (9).

Therefore, the present study describes the development and validation of the Toronto Risk Score (TRS) for AEs following cardiac surgery, the relationship between the risk score and length of stay, and the practical application of this scoring system.

METHODS

Patient sample

Between January 1, 1990, and December 31, 2004, 33,129 consecutive patients underwent cardiac surgery at the University Health Network – Toronto General Hospital in Toronto, Ontario. All patients had their preoperative, operative and postoperative information entered prospectively into a data registry using Microsoft Access (Microsoft Corporation, USA). The 12,683 patients undergoing cardiac surgery between January 1, 1996, and December 31, 2000, were included in the derivation data set for the construction of the risk index. All 4378 cardiac surgery patients operated on between January 1, 2001, and December 31, 2002, were included in the validation data set.

STATISTICAL ANALYSIS

General issues

SAS 8.2 (SAS Institute, USA) was used for all data analyses. Descriptive statistics for continuous variables included the mean, median, SD and standard error. Frequencies were used for categorical variables. Univariate comparisons between groups included unpaired Student’s t tests for continuous variables and contingency table analysis for categorical variables. Linear regression was used to evaluate the relationship between two continuous variables. Two-way ANOVA was used to evaluate the association of length of stay with the main effects, risk group and time, and the interaction of risk group × time.

Development of the TRS

The primary binomial outcome for this model was any postoperative AE following cardiac surgery. AE was defined as any of the following: operative death, a perioperative myocardial infarction defined by electrocardiogram and enzymatic criteria, low cardiac output syndrome (systolic blood pressure less than 90 mmHg and cardiac index less than 2.1 L/min/M2 lasting longer than 15 min despite adequate preload), a perioperative stroke, new postoperative renal failure (defined as the need for any form of dialysis) or deep sternal wound infection.

Logistic regression using backward elimination was used to develop the models and has been previously described (7). All prognostic variables were submitted to the models, and retention of a variable in the model was determined by P≤0.05. The variables submitted to the models are contained in Appendix A. Details of this database have been described at length in previous publications (7,1116).

Logistic regression models for AEs were developed in the 1996 to 2000 data set for all open heart surgery procedures. Model discrimination was evaluated by the C statistic (analagous to the area under the receiver operator characteristic curve) (17); model precision was evaluated by the Hosmer-Lemeshow goodness-of-fit statistic (18). To construct a linear risk score, the ORs were rounded to their nearest integer to provide a risk weight. Of special note, separate logistic regression analyses were performed in procedure-specific subgroups of patients: isolated CABG procedures; valve with or without CABG; and ‘other’ procedures, such as ascending aortic surgery, left ventricular aneursysm repair and adult congenital heart surgery, etc. Risk weights for redo CABG and urgent priority were adjusted slightly to reflect the ORs in the isolated CABG surgery population which comprises the majority of patients.

The calibration of the model was evaluated in the derivation data set by weighted linear regression of the mean predicted probability of AEs versus the observed AEs for each level of the TRS (7). Weights were determined by the number of observations for each TRS unit.

Validation of the TRS

The additive TRS was applied to the 4378 patients undergoing cardiac surgery between 2001 and 2002. The association between TRS and cardiovascular intensive care unit length of stay (CVLOS) and total postoperative length of stay (PLOS) was evaluated by weighted linear regression. Length of stay variables were not normally distributed, but because of the very large sample size, the central limit theorem (19) allowed for the use of parametric analysis for continuous variables. The number of observations for each level of the score was used as weights, thereby reducing the influence of outlying scores.

Additionally, the variables contained in the TRS were tested by a forced logistic regression to determine discrimination and precision of the model in the validation data set.

Risk stratification

One of the primary purposes of developing this risk score was to identify the approximately 20% of patients who are at the highest risk of experiencing a postoperative AE. Four RR groups were constructed based roughly on quartiles of the TRS: low, moderate, high and extremely high risk. Risk-stratified comparisons were performed by contingency table analysis for categorical variables and ANOVA for length of stay.

Quality performance monitoring

The expected AE probability was calculated from the logistic regression model coefficients in the derivation data using the following formula:

AE probability=Σeβ/(1+Σeβ)

where e is the exponent and β is the regression coefficient. These probabilities were used as the benchmark to evaluate quality performance for each quarter year retrospectively to 1990 and prospectively to 2004 by plotting the average expected probability of AEs minus the observed AE rate (20).

RESULTS

General issues

Between 1996 and 2000, 12,683 patients underwent cardiac surgery at the University Health Network – Toronto General Hospital. The TRS was derived in this patient sample. Only 39 (0.3%) patient records were missing information for a key variable and were dropped from the logistic regression analysis.

The validation data consisted of 4378 patients who underwent cardiac surgery between 2001 and 2002 (Table 1). Many risk factors increased significantly from the earlier time cohort, most notably age, the prevalence of patients with triple vessel disease, left main coronary artery disease, diabetes, peripheral vascular disease, hypertension and renal failure. Despite the increase in several risk factors, the prevalence of AEs decreased with time between the two patient cohorts (9.8% versus 8.6%; P=0.018). However, both CVLOS and total PLOS increased significantly from the 1996 to 2000 patient group.

TABLE 1.

Profile, procedures and outcomes

Profile Derivation set 1996 to 2000 Validation set 2001 to 2002 P
n 12,683 4378
Age, years (mean ± SD) 61±12 62±12 <0.001
Age ≥75 years (%) 13 16 <0.001
Female sex (%) 27 26 0.05
Surgical priority (%)
 Elective 55 60
 Urgent 42 37
 Emergent 2.8 2.8 <0.001
Left ventricle grade (%)
 1 38 44
 2 41 25
 3 18 17
 4 3.4 4.0 <0.001
Redo CABG (%) 4.3 3.2 0.002
Any redo cardiac surgery (%) 9.5 8.1 0.007
NYHA classification 4 (%) 48 43 <0.001
MI < one month preoperation (%) 15 16 0.2
Triple vessel disease (%) 46 59 <0.001
Left main disease (%) 14 19 <0.001
Congestive heart failure (%) 22 22 0.9
Diabetes (%) 23 27 <0.001
Peripheral vascular disease (%) 12 16 <0.001
Hypertension (%) 48 56 <0.001
Renal dialysis (%) 0.7 1.2 <0.001
Creatinine >150 μmol/L (%) 3.9 5.1 <0.001
COPD (%) 5.0 4.3 0.08
Procedures (%)
 Isolated CABG 67 64
 Isolated single valve 12 13
 Valve and CABG 6.9 7.2
 Complex valve 15 17
 Ascending aorta replacement 5.3 6.9
 Adult congenital repair 4.2 3.9
 Left ventricle aneurysmectomy 1.4 1.6
 Ischemic VSD 0.2 0.1
 Myxoma 0.3 0.3
 Myectomy 1.0 1.8
 Transplant 0.1 0.1
 Other miscellaneous 2.2 2.7 0.9
Outcomes (%)
 Operative mortality 2.4 2.1 0.3
 MI 2.2 1.9 0.2
 Low cardiac output syndrome 5.8 4.3 <0.001
 Stroke 1.5 1.6 0.8
 Postoperative renal failure 1.4 1.7 <0.001
 Sternal wound infection 0.8 0.6 0.3
 Any adverse event 9.8 8.6 0.018
CVLOS, days (mean ± SD) 2.0±4.7 2.6±5.4 <0.001
 Median 1.04 1.08
Total PLOS, days (mean ± SD) 8.3±6.9 8.8±7.4 <0.001
 Median 6.0 7.0

SD is one standard deviation. Complex valve was defined as surgery on more than one valve, concomitant coronary artery bypass graft surgery (CABG) or more than one previous redo surgery. COPD Chronic obstructive pulmonary disease; CVLOS Cardiovascular intensive care unit length of stay; MI Myocardial infarction; NYHA New York Heart Association; PLOS Postoperative length of stay; VSD Ventricular septal defect

Development and validation of the TRS

The regression coefficients, ORs and their 95% CIs, and the risk weights used to calculate the TRS are in Table 2. The model had very good discrimination (C statistic 0.744) and precision (Hosmer-Lemeshow goodness-of-fit P=0.12). To calculate the TRS, the risk weights that characterize each patient are summed. The calibration curve (Figure 1) in the derivation set demonstrated an excellent fit between predicted and observed probabilities with an R2=0.987 (P<0.001). Notably, the intercept for this regression was zero and the slope was one, indicating excellent calibration. The calibration curve in the validation set (not depicted) also demonstrated excellent fit (R2=0.94, P<0.001, slope 1.1, intercept 0.9).

TABLE 2.

The Toronto Risk Score for adverse events following cardiac surgery

Variable OR (95% CI) Regression coefficient Weight
Age
 65 to 74 years 1.4 (1.3 to 1.7) 0.074 1
 ≥75 years 1.7 (1.4 to 2.1) 0.226 2
Female sex 1.5 (1.3 to 1.7) 0.404 2
LV grade 3 (LVEF 20% to 40%) 1.5 (1.3 to 1.7) −0.068 2
LV grade 4 (LVEF less than 20%) 2.5 (1.9 to 3.3) 0.515 3
Urgent priority 1.5 (1.3 to 1.8) −0.312 1
Emergent priority 5.1 (3.9 to 6.7) 0.846 6
MI < one month preoperation 1.4 (1.2 to 1.7) 0.353 1
Redo CABG 3.1 (2.5 to 3.9) 1.106 4
Triple vessel disease 1.4 (1.2 to 1.6) 0.286 1
Left main disease 1.4 (1.1 to 1.6) 0.312 1
Congestive heart failure 1.5 (1.3 to 1.8) 0.326 2
Renal insufficiency 2.1 (1.6 to 2.6) 0.718 2
Diabetes 1.2 (1.1 to 1.4) 0.205 1
Peripheral vascular disease 1.4 (1.2 to 1.7) 0.296 1
Hypertension 1.2 (1.0 to 1.3) 0.142 1
Complex valve 1.3 (1.1 to 1.6) 0.295 2
Other pathology 1.9 (1.5 to 2.2) 0.617 2
Constant −2.595

Risk weights are summed to calculate the Toronto Risk Score. Referrent values are zero for the following: age younger than 65 years, male sex, left ventricle (LV) grades 1 or 2 (LV ejection fraction [EF] greater than 40%), elective surgery, no myocardial infarction [MI]) within the month before surgery, no previous coronary artery bypass graft surgery (CABG), less than three vessel coronary artery disease, no left main disease, no congestive heart failure, no renal insufficiency, no diabetes, no peripheral vascular disease, no hypertension, isolated CABG, simple valve surgery (only one valve, no CABG, no other procedures), no other pathology requiring surgical correction. Predicted probability of adverse events (ProbAE) can be calculated from the following formula: ProbAE = Σeβ/(1+Σeβ), where e is the exponent and β is the regression coefficient

Figure 1).

Figure 1)

The calibration curve for predicted probability of adverse events for each unit of the Toronto Risk Score versus the observed adverse events

The linear regressions of CVLOS and total PLOS versus the TRS in the validation data set are depicted in Figure 2. Both regressions demonstrated excellent fit. From the linear regression equations, each unit increase in TRS was associated with an increase of 0.42±0.05 days for CVLOS (P<0.001) and 0.71±0.07 days for total PLOS (P<0.001). The TRS model had very good discrimination in the validation data set with a C statistic of 0.734 and excellent precision (Hosmer-Lemeshow goodness-of-fit P=0.9).

Figure 2).

Figure 2)

Weighted linear regression of cardiovascular intensive care unit length of stay (CVLOS) and total postoperative length of stay (PLOS) versus the Toronto Risk Score. The dashed diagonal line represents the linear function

Tracking acuity

The changes in acuity over time are depicted in Figure 3. The standard errors ranged from 0.08 to 0.09 and were not plotted due to scaling. The TRS increased from 4.9±3.6 in 1997 to 5.9±3.7 in 2004.

Figure 3).

Figure 3)

The average Toronto Risk Score each year since 1990. The standard errors ranged from 0.08 to 0.09 and were not plotted due to scale of the y-axis

Risk-stratified analysis

Frequency analysis of the TRS in the derivation data set guided the construction of RR groups. Low risk was defined as TRS 0 to 2 (21%), moderate risk as TRS 3 to 4 (29%), high risk as TRS 5 to 7 (31%) and extremely high risk as TRS 8 or more (20%). The change in proportion of patients in each risk subgroup (Figure 4) was significantly different between the two time periods (P<0.001).

Figure 4).

Figure 4)

Top panel Proportion of patients in each risk stratum in the derivation data set (1996 to 2000) and validation data set (2001 to 2002). Risk-stratified operative mortality (middle panel) and adverse events (bottom panel) are also depicted. Ext Extremely high risk; High High risk; Low Low risk; Mod Moderate risk; TRS Toronto Risk Score

Also depicted in Figure 4 are the risk-stratified operative mortality and AE rates. Operative mortality and AEs increased significantly with increased risk (all P<0.001) within each time period. Despite the increase in acuity, there was a decrease in operative mortality and AE for all strata. The decrease in AE in 2001 and 2002 was significantly different from the 1996 to 2000 data for both high-risk patients (P=0.03) and extremely high-risk patients (P=0.001).

Risk-stratified length of stay is shown in Table 3. Two-way ANOVA revealed a significant (P<0.001) within time period difference between strata for both CVLOS and PLOS. There was a significant interaction between risk group and time period for CVLOS (P=0.001). Additionally, there was a significant difference between time periods for PLOS (P=0.03).

TABLE 3.

Risk-stratified length of stay

Low risk Moderate risk High risk Extremely high risk
CVLOS (days ± SD)
 1996 to 2000 1.3±1.0 1.6±2.8 2.2±5.4 3.6±7.6
 2001 to 2002 1.5±2.3 1.8±2.6 2.6±4.5 4.7±9.1
PLOS (days ± SD)
 1996 to 2000 6.3±3.4 7.2±4.8 8.7±6.8 11.6±10.3
 2001 to 2002 6.7±3.3 7.1±4.2 8.9±7.1 12.0±11.0

Results of two-way ANOVA. Cardiovascular intensive care unit length of stay (CVLOS): risk group P<0.001, time period P=0.001, risk*time interaction P=0.0012. Total postoperative length of stay (PLOS): risk group P=0.001, time period P=0.03, risk × time interaction P=0.5

Quality performance

A qualitative depiction of the expected probability of AEs calculated by the logistic regression model minus observed AEs for each quarter year since 1990 is shown in Figure 5. Values above the zero line indicate performance better than expected based on case mix and severity of illness.

Figure 5).

Figure 5)

The expected (Exp) adverse event (AE) probability minus the observed (Obs) AE rate for each quarter year since 1990. Values above the dashed zero line represent fewer AEs than expected based on case mix and illness severity

DISCUSSION

The comparison of observed patient outcomes with expected patient outcomes based on illness severity is the cornerstone of quality care evaluation, and is an essential element for any quality improvement program or operational planning. There are many risk scoring systems for operative mortality following CABG surgery (1,2,47) and fewer that incorporate valvular and other cardiac procedures (8,9). The use of operative mortality alone is limiting because nonfatal operative complications can have a significant effect on a patient’s functional status and quality of life and are significantly associated with prolonged length of hospital stay and increased resource consumption (9).

The TRS for AEs, which included operative mortality, following cardiac surgery, was developed to track changes in acuity (Figure 3), identify high-risk patients (Figure 4) and monitor quality performance (Figure 5) in a compulsory database containing all cardiac surgery patients, regardless of procedure. This database was very complete, with only 0.3% missing data, and has been subjected to random audits revealing an error rate of less than 1.5%. Details of this database have been previously reported (7,11,15).

The risk model in both the derivation and validation data sets had very good discrimination and precision. The calibration curves provide a benchmark for comparison of model performance in external databases. As we have shown in our previous work (7), the calibration of risk algorithms should be periodically checked and, if necessary, the model should either be recalibrated or remodelled, especially if the algorithm is being used to calculated risk-adjusted outcomes rather than evaluating temporal trends. The TRS accurately predicted length of stay in the validation data set (2001 and 2002). Few models have been developed to predict prolonged cardiovascular intensive care unit (CVICU) (21). Length of stay is not a normally distributed variable, so prolonged length of stay is often dicotomized to less than or greater than two days. These models typically have poorer discrimination possibly because a substantial number of deaths in the CVICU occur before the second day. Additionally, the definition of length of stay greater than two days in the CVICU is arbitrary and obsolete. Over the past decade, the use of short-acting anesthetics and shorter ventilation times have had a significant impact on reducing the CVICU length of stay for the majority of patients. The major determinant of prolonged length of stay in our unit is the occurrence of AEs. Therefore, as we have shown in this study, increases in patient risk captured by the TRS were significantly associated with increased length of stay.

Other scoring systems have shown similar results to ours. The European System for Cardiac Operative Risk Evaluation (EuroSCORE) (2224) for operative mortality following all cardiac surgery has been shown to also predict direct costs. The patient population used to develop the EuroSCORE is similar to ours, although their operative morality for isolated CABG (3.4%) was somewhat higher than ours (1.5%), but similar to that seen in the Society of Thoracic Surgeons data (9). However, Geissler et al (25) evaluated six scoring systems and found that predicted values for morbidity were substantially different from predicted values for mortality. They concluded that the development of morbidity scores may improve prediction of outcomes and hospital costs. Shroyer et al (9) have recently developed a predictive risk index for operative mortality and morbidity for isolated CABG in the voluntary Society of Thoracic Surgeons database. The advantage of the TRS is that it is not limited solely to patients having isolated CABG but can be applied to all cardiac surgery procedures, and it was derived from a compulsory database containing all patients having surgery.

The current limitation of the present study is that the TRS was developed and validated in a single institution. Future studies will be conducted to externally validate this score.

The trend of increasing acuity and decreasing mortality and morbidity has been noted by others (26). The steadily increasing TRS since 2000 coincides with the opening of two new suburban cardiac centres in our area and the increased use of percutaneous coronary interventions nationwide. Whether these two factors alone or in combination are responsible for the increasing risk scores, especially in our CABG patients, is unknown. What remains more inexplicable is the increasing length of stay in our unit despite the decrease in AEs (Table 3). Monitoring these risk-stratified outcomes has led to initiatives in our centre to identify possible processes of care, aside from patient acuity, that may contribute to increased length of stay and resource consumption.

The value of using this rule as a benchmark is depicted in Figure 5. Monitoring expected-minus-observed probability of AEs offers further insights into assimilating complex risk-adjusted patterns of postoperative AEs over time. Although our method differs somewhat from the previously described variable life-adjusted display in that it does not calculate ‘lives saved’ (20,27,28), it is intuitively clear to clinicians and administrators. Lines that spike upward indicate better performance, whereas lines that spike downward indicate poorer performance. The trendline suggests that despite increasing acuity, there has been a steady increase in overall quality performance. These qualitative evaluations can alert the team to problems, which if identified early, can be corrected.

And finally, in Ontario, our funding formula for cardiac surgery is based on case mix and risk profile. By identifying the increased illness severity of our patients, we have an objective, rational argument for requesting increased funding. Whether our argument is successful remains to be seen.

In conclusion, the use of a risk scoring system for either the calculation of risk-adjusted AEs or risk-stratification can help both clinicians and administrators monitor quality performance and manage resources. The TRS is an objective and reliable measure of acuity for patients undergoing cardiac surgery.

ACKNOWLEDGEMENTS

The authors wish to express their sincere appreciation to Susan Collins, CV database manager at the Toronto General Hospital and the following cardiovascular surgeons: Dr Ronald J Baird (retired); Dr Christopher M Feindel; Dr Hugh E Scully; Dr RJ Cusimano; Dr Stephanie E Brister; Dr Lynda L Mickelborough (retired); Dr Tony Ralph-Edwards; Dr Richard D Weisel; and Dr Terry M Yau.

APPENDIX A Variables submitted to the logistic regression models

Age, years 65 to 74; ≥75
Female Female sex
Left ventricle (LV) grade
 1 LV ejection fraction (EF) greater than 60%
 2 LVEF 40% to 59%
 3 LVEF 20% to 39%,
 4 LVEF less than 20%
Urgent priority Surgery within 72 h of catheterization, echocardiography or cardiac event
Emergent priority Surgery within 12 h of catheterization, echocardiography or cardiac event
Myocardial infarction less than one month Myocardial infarction within 30 days before operation
Redo coronary artery bypass graft surgery(CABG) Previous CABG surgery
Triple vessel disease Significant (greater than 50%) stenosis of all three major coronary arteries
Left main disease Significant (greater than 50%) stenosis of the left main coronary artery
Congestive heart failure (CHF) CHF or history of chronic CHF at the time of admission
Renal insufficiency Any renal dialysis or serum creatinine greater than 150 μmol/L
Diabetes Any diabetes regardless of method of control/treatment
Peripheral vascular Peripheral vascular disease including carotid or cerebral vascular disease
Hypertension History of hypertension regardless of control
Chronic obstructive pulmonary disase Chronic obstructive lung disease diagnosed by pulmonary function tests
Cerebral vascular event Preoperative cerebral vascular event either stroke or transient ischemic attack
Atrial fibrillation History of atrial fibrillation/flutter preoperatively
Complex valve Surgery on more than one valve, or concomitant CABG or more than one previous valve operation
Other pathology Surgery other than, or in addition to, CABG or valve or complex valve; may include: LV aneurysm resection, ascending aorta, adult congenital, maze procedure, myectomy, ventricular assist devices, septal repair, implantation of ventricular assist devices, transplants, etc

Footnotes

DECLARATION: Presented, in part, at the Canadian Cardiovascular Congress, Edmonton, Alberta, 2002.

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