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. Author manuscript; available in PMC: 2016 Apr 29.
Published in final edited form as: Lancet. 2015 Jun 17;386(9996):884–895. doi: 10.1016/S0140-6736(15)60087-3

Readmission destination and risk of mortality after major surgery: an observational cohort study

Benjamin S Brooke 1, Philip P Goodney 1, Larry W Kraiss 1, Daniel J Gottlieb 1, Matthew H Samore 1, Samuel R G Finlayson 1
PMCID: PMC4851558  NIHMSID: NIHMS777527  PMID: 26093917

Summary

Background

Hospital readmissions are common after major surgery, although it is unknown whether patients achieve improved outcomes when they are readmitted to, and receive care at, the index hospital where their surgical procedure was done. We examined the association between readmission destination and mortality risk in the USA in Medicare beneficiaries after a range of common operations.

Methods

By use of claims data from Medicare beneficiaries in the USA between Jan 1, 2001, and Nov 15, 2011, we assessed patients who needed hospital readmission within 30 days after open abdominal aortic aneurysm repair, infrainguinal arterial bypass, aortobifemoral bypass, coronary artery bypass surgery, oesophagectomy, colectomy, pancreatectomy, cholecystectomy, ventral hernia repair, craniotomy, hip replacement, or knee replacement. We used logistic regression models incorporating inverse probability weighting and instrumental variable analysis to measure associations between readmission destination (index vs non-index hospital) and risk of 90 day mortality for patients who underwent surgery who needed hospital readmission.

Findings

9 440 503 patients underwent one of 12 major operations, and the number of patients readmitted or transferred back to the index hospital where their operation was done varied from 186 336 (65·8%) of 283 131 patients who were readmitted after coronary artery bypass grafting, to 142 142 (83·2%) of 170 789 patients who were readmitted after colectomy. Readmission was more likely to be to the index hospital than to a non-index hospital if the readmission was for a surgical complication (189 384 [23%] of 834 070 patients readmitted to index hospital vs 36 792 [13%] of 276 976 patients readmitted non-index hospital, p<0·0001). Readmission to the index hospital was associated with a 26% lower risk of 90 day mortality than was readmission to a non-index hospital, with inverse probability weighting used to control for selection bias (odds ratio [OR] 0·74, 95% CI 0·66–0·83). This effect was significant (p<0·0001) for all procedures in inverse probability-weighted models, and was largest for patients who were readmitted after pancreatectomy (OR 0·56, 95% CI 0·45–0·69) and aortobifemoral bypass (OR 0·69, 95% CI 0·61–0·77). By use of hospital-level variation among regional index hospital readmission rates as an instrument, instrumental variable analysis showed that the patients with the highest probability of returning to the index hospital had 8% lower risk of mortality (OR 0·92 95% CI 0·91–0·94) than did patients who were less likely to be readmitted to the index hospital.

Interpretation

In the USA, patients who are readmitted to hospital after various major operations consistently achieve improved survival if they return to the hospital where their surgery took place. These findings might have important implications for cost-effectiveness-driven regional centralisation of surgical care.

Introduction

Identification of metrics for quality of surgical care has become a major priority for health-care providers, patients, those paying for health care, and policy makers in many countries. So far, the main focus has been on perioperative measures of surgical quality, including structural characteristics of hospitals where surgery takes place and measures of the perioperative process within hospitals that lead to the best postoperative outcomes.1,2 Hospitals that provide high-quality surgical care are often labelled as so-called centres of excellence, and trends have emerged in support of cost-effectiveness-driven regional centralisation for complex and major surgery.3,4 These changes were based on reports59 showing that hospitals with certain characteristics—eg, high operative volume or specialty care pathways—are better able to manage patients undergoing complex surgery and resulting complications, leading to reduced rates of risk-adjusted mortality and readmission.

However, after patients have been discharged from hospital following major surgery, the factors that are associated with improved outcomes are unclear. This challenge is relevant in view of the fact that a substantial proportion of complications and deaths within 90 days after major surgery occur after patients have been discharged from hospital,10 and up to 25% of patients will need readmission.11,12 Because the need for hospital readmission after major surgery is associated with significantly increased risk of mortality,13,14 metrics of quality for surgical readmission need to be defined.

Maintenance of continuity of care with the same health-care institutions and providers is an established metric of quality for patients treated for chronic medical conditions.15,16 We postulated that this quality metric would also apply to patients who were readmitted to hospital after major surgery, who we suspected would achieve improved outcomes if they returned to the hospitals where their operation took place (ie, the index hospital). We aimed to assess readmission destination and risk-adjusted 90 day mortality estimates for fee-for-service Medicare beneficiaries in the USA who were readmitted to hospital within 30 days after 12 common operations across five surgical disciplines.

Methods

Data sources and study population

We used the Centers of Medicare and Medicaid Services Provider Analysis and Review database to study patients who were readmitted to hospital within 30 days after undergoing one of 12 major surgical procedures at acute care and critical access hospitals between Jan 1, 2001, and Nov 15, 2011. We used International Classification of Diseases 9th Revision (ICD-9) procedure codes to identify these procedures from the Part A Medicare claims dataset: open abdominal aortic aneurysm repair (38.34, 38.36, 38.44, 38.64, 39.25, and 39.52); aortobifemoral bypass (39.25); infrainguinal arterial bypass (39.29, 38.88, 38.48, and 38.38); coronary artery bypass grafting (36.10–36.19); cholecystectomy (51.21–51.24); colectomy (45.7–45.79, 45.8); pancreatectomy (52.70, 52.51–52.53, 52.59, 55.26); oesophagectomy (42.4, 42.40–42.42); craniotomy (01.20–01.28, 01.30–01.32, 01.39, 01.50–01.53, 01.59), ventral hernia repair (53.51, 53.61, 53.62); hip replacement (81.51); and knee replacement (81.54). In our analysis, we included all patients who made use of a fee-for-service, non-health maintenance organisation (HMO) payment model, who were aged younger than 99 years and underwent one of these 12 operations during the time period.

To be included in the cohort for analysis, all patients needed to be readmitted within 30 days of discharge after one of the 12 index surgical procedures. Only the first unplanned readmission during the first 30 postoperative days was examined. If patients were transferred to another institution during the postoperative period, the 30 day window started after discharge from the other institution.

Readmission destination

Our main exposure variable was readmission destination, defined by whether patients were readmitted to the index hospital where the surgery took place or a different, non-index, hospital. The exposure group included patients who were readmitted to outside hospitals but then transferred to the index hospital within 24 h. The reference group included all patients who were readmitted to, and cared for at, hospitals other than the index hospital. The definition of index versus non-index hospital admission was specific for each patient, which allowed for cross-classification of data. We used hospital identification numbers from the Centers of Medicare and Medicaid Services to categorise index and readmission hospitals.

Additionally, we assessed whether having the same surgical provider was associated with both index and readmission hospitalisations by use of Berenson-Eggers Type of Service (BETOS) codes. BETOS codes are associated with services that health-care providers perform for Medicare beneficiaries and submit for billing, including evaluation and management and medical procedures. We included billing claims from the operative surgeon, and nurse practitioners or physician assistants who might have been directly involved in patient care, and compared these claims with the provider billing claims for evaluation and management and medical procedures during the period of readmission.

Descriptive variables

We assessed differences in readmission destination by patient characteristics at several levels. Baseline demographic variables included age, sex, ethnic origin, disability, and Medicaid eligibility at the time of index hospital admission. We obtained data for education and median income from the American Community survey data (2006 to 2010) and used them to measure patient socioeconomic status. We assessed patients’ comorbidities with a Charlson index (Romano adaptation)17 score generated from the diagnosis at index hospital admission and procedure codes. We calibrated the Charlson index weights to a surgical hip fracture cohort that has previously been validated in various populations who had surgery.12,18 We coded each patient’s ambulatory status with CPT codes within claims and carrier files for walkers, wheelchairs, and related accessories 2 years before and up to 30 days after the index surgery. Finally, we categorised the patient’s discharge destination after their index hospital admission for surgery (home, skilled nursing facilities, rehabilitation facility, home with home-care services, or other).

We defined readmissions by whether they were elective, urgent, or emergent, and whether the readmission was to manage a medical complication (eg, heart failure or peneumonia) or a surgical complication (ie, a complication requiring a procedure at the time of readmission such as wound debridement). We based this distinction on the medical and surgical diagnosis-related groups assigned to patients at the time of readmission. We categorised the source of admission to the hospital at the time of readmission as being from an emergency department, outpatient clinic, transfer from another hospital facility, or another source.

We characterised the hospitals patients were readmitted to in several ways. We assessed overall hospital volume of admissions and procedure-specific volumes by hospital. We measured admission volumes across all years combined and with biannual values smoothed by a moving average. For all 12 procedures, the top 10% of hospitals ranked by volume accounted for roughly 50% of operations, and we used this cutoff point to define hospitals with the highest volumes of procedures. We categorised the teaching status of hospitals (non-teaching, minor teaching, and major teaching) based on the ratio of junior doctors to beds, as identified by the 2010 American Hospital Association files, and whether hospitals were members of the Council of Teaching Hospitals. Additionally, we assessed the number of hospital beds, intensive-care unit beds, physician staffing (full-time equivalents), and nurse-to-patient ratios using the year-specific American Hospital Association files. We assessed hospital compliance with established process measures derived from the Surgical Care Improvement Program (SCIP), using the 2012 Hospital Compare website. We chose SCIP-9 (compliance with removal of urinary catheters by postoperative day 2) because this measure had the most variability and discriminatory potential between hospitals in the USA.

We used the University of Washington Rural-Urban Commuting Area (RUCA) Version 2 codes to categorise the locations of hospitals and patients’ homes with zip codes, aggregated to four levels: urban, suburban, large town, or rural. We calculated the distance from the patient’s home to the hospital as a straight-line distance measured in miles. Finally, we assessed whether patients underwent their index surgical procedure within the US hospital referral region associated with their home address.

Outcomes

The main outcome measure was 90 day all-cause mortality, beginning from the day of hospital readmission. We obtained dates of death from the Medicare Vital Status file. We also assessed in-hospital mortality during the period of hospital readmission.

Statistical analysis

We used two methods to assess the primary outcome measure: inverse probability weighting and an instrumental variable analysis.19 We did all analyses with SAS version 9.3.

To address confounding by measured covariates, we used logistic regression incorporating inverse probability weighting, a type of propensity score analysis.20 We first calculated descriptive statistics for the predictor variables measured within cohorts of patients undergoing each operation using bivariate comparisons (χ2 and ANOVA). We then used multiple logistic regression to calculate the probability of a patient being readmitted to the index hospital based on 74 covariates (appendix). The weights for each patient were defined as the inverse of the estimated probabilities for being readmitted to the index hospital. After we weighted patients, we ran logistic regression models for each of the 12 surgical procedures clustered by hospital size (ie, small, medium, and large) to estimate odds ratios (ORs) for mortality. Model convergence was not possible when we attempted clustering at the level of individual hospitals because many US hospitals had few patients in each procedure group. We also did risk adjustment for all 12 procedures using logistic regression models without inverse probability weighting and without clustering.

We calculated p values for comparisons between index and non-index hospitals using t tests for means and χ2 tests for proportions. We made categorical comparisons with χ2 tests or ANOVA, as appropriate.

To address potential unmeasured bias, we did instrumental variable analysis with hospital-level variation in regional index hospital 30 day readmission rates as an instrument. Hospitals within each hospital referral region were divided into quartiles based on index readmission rates after each operation, and we then compared groups of patients at hospitals that differed in terms of high and low probability of being readmitted to the index hospital (appendix). This type of geographic instrumental variable behaves like a natural random assignment of patients who underwent surgery to regional exposure groups that differ in likelihood of returning to the index hospital at the time of readmission.19 We estimated risk-adjusted ORs for 90 day mortality for all 12 procedures with comparisons between hospitals at low and high risk of index readmission compared with non-index readmission.

To investigate whether having the same surgical providers during both index hospital admission and readmission was associated with a survival benefit, we calculated adjusted in-hospital and 90 day mortality based on whether patients were readmitted to non-index hospitals, index hospitals with different providers, or index hospitals with the same providers. We did incremental R2 analysis to calculate the fraction of the variance accounted for in the model when surgical provider information was added, compared with only the variable for hospital of readmission.

We also did several sensitivity analyses to evaluate the effect of hospital destination on mortality under various conditions. This analysis included stratification by emergency department admissions, hospital teaching status, hospital procedure volume level (low vs high), and distance to the index hospital greater than 50 miles. We selected 50 miles as a cutoff because it represented roughly 1 h of travel time to the hospital. Dartmouth Human Investigation Committee deemed this study to be exempt from review.

Role of the funding source

There was no funding source for this study. BSB and PPG had full access to all the data in the study and BSB, PPG, and SRGF had final responsibility for the decision to submit for publication.

Results

We identified 9 440 503 patients during the study period who underwent one of 12 major operations within five surgical specialties (table 1). Across all procedures, prevalence of 30 day readmission ranged between 154 203 (5·6%) of 2 748 519 patients for knee replacement and 3665 (21·9%) of 16 702 patients for oesophagectomy.

Table 1.

Patients readmitted after 12 major operations in five surgical specialties

Patients discharged after surgery Patients readmitted to any hospital Patients readmitted who were readmitted to index hospital
Vascular surgery

Open abdominal aortic aneurysm repair 163 753 26 002 (15·9%) 18 220 (70·1%)
Aortobifemoral bypass 67 826 11 498 (17·0%) 8739 (76·0%)
Infrainguinal arterial bypass 448 296 90 596 (20·2%) 72 143 (79·6%)

Cardiothoracic surgery

Coronary artery bypass surgery 1 502 815 283 131 (18·8%) 186 336 (65·8%)
Oesophagectomy 16 702 3665 (21·9%) 2447 (66·8%)

General surgery

Cholecystectomy 1 435 157 183 494 (12·7%) 148 520 (80·9%)
Pancreatectomy 16 778 3582 (21·3%) 2670 (74·5%)
Colon resection 1 110 967 170 789 (15·4%) 142 142 (83·2%)
Ventral hernia repair 302 196 38 958 (12·9%) 32 248 (82·8%)

Neurosurgery

Craniotomy 355 075 55 974 (15·8%) 39 195 (70·0%)

Orthopaedic surgery

Hip replacement 1 272 419 89 154 (7·0%) 68 069 (76·3%)
Knee replacement 2 748 519 154 203 (5·6%) 113 335 (73·5%)

In patients who needed to be readmitted to hospital within 30 days after major surgery, the number who were readmitted or transferred to the index hospital varied between procedures, from 186 336 (65·8%) of 283 131 patients who were readmitted after coronary artery bypass grafting, to 142 142 (83·2%) of 170 789 patients who were readmitted after colectomy (table 1). We calculated hospital-level index readmission prevalence within hospital referral regions for all 12 procedures, stratified by quartiles (appendix). The demographics and discharge destinations of patients who returned to the index hospital varied with the type of surgery (tables 2, 3). Patients who were readmitted to the index hospital were significantly more likely to live in urban areas and to have travelled fewer miles to have their operation at a hospital within their same hospital referral region than were those who were admitted to a different hospital (tables 2, 3). Additionally, patients returning to index hospitals were readmitted within fewer days than were those who went to other hospitals.

Table 2.

Characteristics of patients who were readmitted to hospital

Vascular surgery (n=128 096)
Cardiothoracic surgery (n=286 796)
General surgery (n=396 823)
Non-
index
Index Standardised
difference
p value Non-
index
Index Standardised
difference
p value Non-
index
Index Standardised
difference
p value
Readmitted patients 28 994 (22·6%) 99 102 (77·4%) ·· ·· 98 007 (34·2%) 188 789 (65·8%) ·· ·· 71 243 (18·0%) 325 580 (82·0%) ·· ··

Age at index surgery (years) 73·7 (10·5) 72·9 (10·0) −0·069 <0·0001 73·6 (9·2%) 73·1 (7·9%) −0·048 <0·0001 72·5 (12·8) 72·9 (12·1) 0·032 <0·0001

Black ethnic origin 3363 (11·6%) 15 559 (15·7%) −0·025 <0·0001 4999 (5·1%) 12 861 (6·8%) −0·089 <0·0001 71 239 (10·0%) 34 476 (10·6%) −0·165 <0·0001

Female 12 467 (43·0%) 42 317 (42·7%) −0·025 0·32 38 813 (39·6%) 72 715 (38·5%) −0·089 <0·0001 39 532 (55·5%) 185 330 (56·9%) −0·165 <0·0001

Using walker or wheelchair 1392 (4·8%) 5252 (5·3%) −0·025 0·003 2252 (2·3%) 4592 (2·4%) −0·089 0·28 2918 (4·1%) 12 447 (3·8%) −0·165 <0·0001

Medicaid 7075 (24·4%) 24 280 (24·5%) −0·025 24·4 24 014 (24·5%) 30 611 (16·2%) −0·089 <0·0001 18 825 (26·4%) 79 109 (24·3%) −0·165 <0·0001

College education 8640 (29·8%) 31 414 (31·7%) 0·116 <0·0001 29 202 (29·8%) 59 718 (31·6%) 0·098 <0·0001 21 458 (30·0%) 104 833 (32·2 %) 0·132 <0·0001

Home location ·· ·· ·· <0·0001 ·· ·· ·· <0·0001 ·· ·· ·· <0·0001
 Large town 5074 (17·5%) 10 172 (10·3%) ·· ·· 22 052 (22·5%) 22 853 (12·1%) ·· ·· 9628 (13·5%) 37 482 (11·5%) ·· ··
 Small town 7162 (24·7%) 15 717 (15·9%) ·· ·· 24 696 (25·2%) 35 503 (18·8%) ·· ·· 20 799 (29·2%) 57 018 (17·5%) ·· ··
 Suburban 2696 (9·3%) 9593 (9·7%) ·· ·· 8330 (8·5%) 20 200 (10·7%) ·· ·· 6056 (8·5%) 32 232 (9·9%) ·· ··
 Urban 14 062 (48·5%) 63 620 (64·2%) ·· ·· 42 929 (43·8%) 110 275 (58·4%) ·· ·· 34 784 (48·8%) 199 010 (61·1%) ·· ··

Charlson index ·· ·· 0·033 <0·0001 ·· ·· 0·015 0·001 ·· ·· 0·042 <0·0001
 0–1 6687 (23·1%) 21 622 (21·8%) ·· ·· 35 084 (35·8%) 68 894 (36·5%) ·· ·· 26 548 (37·3%) 126 230 (38·8%) ·· ··
 2–4 10 867 (37·6%) 37 200 (37·5%) ·· ·· 37 538 (38·3%) 71 390 (37·8%) ·· ·· 21 921 (30·8%) 100 810 (31·0%) ·· ··
 >4 11 440 (39·5%) 40 280 (40·6%) ·· ·· 25 385 (25·9%) 48 505 (25·7%) ·· ·· 22 774 (32·0%) 98 540 (30·3%) ·· ··

Discharge destination from index ·· ·· 0·095 <0·0001 ·· ·· 0·091 <0·0001 0·203 <0·0001
 Home 7674 (26·5%) 29 037 (29·3%) ·· ·· 34 303 (35·0%) 61 247 (32·4%) ·· ·· 33 485 (47·0%) 162 464 (49·9%) ·· ··
 SNF 8628 (29·8%) 24 478 (24·7%) ·· ·· 20 189 (20·6%) 38 772 (20·5%) ·· ·· 15 531 (21·8%) 73 256 (22·5%) ·· ··
 Rehabilitation facility 6170 (21·3%) 24 379 (24·6%) ·· ·· 7645 (7·8%) 17 829 (9·4%) ·· ·· 2422 (3·4%) 10 093 (3·1%) ·· ··
 Home care 3362 (11·6%) 13 082 (13·2%) ·· ·· 29 304 (29·9%) 60 410 (32·0 ·· ·· 12 111 (17·0%) 62 186 (19·1%) ·· ··
 Other 3160 (10·9%) 8126 (8·2%) ·· ·· 6566 (6·7%) 10 531 (5·6%) ·· ·· 7694 (10·8%) 17 584 (5·4%) ·· ··

Distance to index hospital (miles) 89·2 (257·3) 51·2 (194·2) −0·144 <0·0001 103·3 (287·4) 81·8 (254·1) −0·060 <0·0001 82·2 (244·1) 45·1 (191·8) −0·152 <0·0001

Index hospital outside HRR 9597 (33·1%) 16 847 (17·0%) 0·095 <0·0001 33 809 (34·5%) 38 556 (20·4%) 0·091 <0·0001 21 174 (29·7%) 46 554 (14·3%) 0·203 <0·0001
Time to readmission (days) 12·9 (9·2) 12·7 (8·1) −0·025 <0·0001 11·7 (9·1) 10·7 (7·6) −0·089 <0·0001 12·6 (9·0) 11·0 (8·2) −0·165 <0·0001

Data are n (%) or mean (SD) unless otherwise stated. SNF=skilled-nursing facility. HRR=hospital referral region. Vascular surgery=open abdominal aortic aneurysm repair, aortobifemoral bypass, infrainguinal arterial bypass. Cardiothoracic surgery=coronary artery bypass surgery, oesophagectomy. General surgery=cholecystectomy, pancreatectomy, colectomy, ventral hernia repair.

Table 3.

Characteristics of patients who were readmitted to hospital

Neurosurgery (n=55 974)
Orthopaedic surgery (n=243 357)
Non-index Index Standardised difference p value Non-index Index Standardised difference p value
Readmitted patients 16 779 (30·0%) 39 195 (70·0%) ·· ·· 61 953 (25·5%) 181 404 (74·5%) ·· ··

Age at index surgery (years) 74·1 (11·7) 73·3 (11·5) −0·055 <0·0001 74·5 (9·6) 74·5 (9·1) 0·001 0·79

Black ethnic origin 1728 (10·3%) 4350 (11·1%) −0·169 0·004 4151 (6·7%) 14 331 (7·9%) −0·164 <0·0001

Female 7404 (44·1%) 16 667 (42·5%) −0·169 <0·0001 37 537 (60·6%) 112 511 (62·0%) −0·164 <0·0001

Using walker or wheelchair 957 (5·7%) 2126 (5·4%) −0·169 0·10 3544 (5·7%) 10 217 (5·6%) −0·164 0·91

Medicaid 3488 (20·8%) 7455 (19·0%) −0·169 <0·0001 9065 (14·6%) 26 302 (14·5%) −0·164 0·33

College education 5440 (32·4%) 13 561 (34·6%) 0·117 <0·0001 9870 (15·9%) 26 892 (14·8%) 0·097 <0·0001

Home location ·· ·· ·· <0·0001 ·· ·· ·· <0·0001
 Large town 2629 (15·7%) 3724 (9·5%) ·· ·· 8116 (13·1%) 19 954 (11·0%) ·· ··
 Small town 3389 (20·2%) 5648 (14·4%) ·· ·· 16 981 (27·4%) 30 660 (16·9%) ·· ··
 Suburban 1532 (9·1%) 3684 (9·4%) ·· ·· 5576 (9·0%) 18 140 (10·0%) ·· ··
 Urban 9249 (55·1%) 26139 (66·7%) ·· ·· 31 280 (50·5%) 112 650 (62·1%) ·· ··

Charlson index 0·023 0·25 ·· ·· 0·015 <0·0001
 0–1 6124 (36·5%) 14 580 (37·2%) ·· ·· 40 704 (65·7%) 119 001 (65·6%) ·· ··
 2–4 5201 (31·0%) 12 229 (31·2%) ·· ·· 15 550 (25·1%) 46 077 (25·4%) ·· ··
 >4 5454 (32·5%) 12 386 (31·6%) ·· ·· 5699 (9·2%) 16 326 (9·0%) ·· ··

Discharge destination from index ·· ·· 0·163 <0·0001 ·· ·· 0·165 <0·0001
 Home 4443 (26·5%) 11 484 (29·3%) ·· ·· 10 525 (17·0%) 24 490 (13·5%) ·· ··
 SNF 5003 (29·8%) 9681 (24·7%) ·· ·· 18 496 (29·9%) 66 394 (36·6%) ·· ··
 Rehabilitation facility 3570 (21·3%) 9642 (24·6%) ·· ·· 12 010 (19·4%) 35 011 (19·3%) ·· ··
 Home care 1940 (11·6%) 5174 (13·2%) ·· ·· 14 792 (23·9%) 41 360 (22·8%) ·· ··
 Other 1823 (10·9%) 3214 (8·2%) ·· ·· 6130 (9·9%) 14 149 (7·8%) ·· ··

Distance to index hospital (miles) 112·9 (315·7) 77·1 (254·5) −0·102 <0·0001 62·5 (201·0) 47·1 (191·4) −0·066 <0·0001

Index hospital outside HRR 6661 (39·7%) 9219 (23·5%) 0·163 <0·0001 18 593 (30·0%) 28 462 (15·7%) 0·165 <0·0001

Time to readmission (days) 13·5 (9·1) 11·7 (8·3) −0·169 <0·0001 13·1 (9·3) 11·3 (8·4) −0·164 <0·0001

Data are n (%) or mean (SD) unless otherwise stated. SNF=skilled-nursing facility. HRR=hospital referral region. Neurosurgery=craniotomy. Orthopaedic surgery=hip replacement, knee replacement.

We compared the characteristics of the hospitals that patients were readmitted to, stratified by whether these hospitals were the index hospital or non-index hospitals (tables 4, 5). Generally, the index hospitals were smaller, with fewer staff and beds than were non-index hospitals (tables 4, 5). Moreover, index hospitals were more likely than non-index hospitals to be non-teaching hospitals, have lower SCIP-9 compliance, and be located in regions with lower mean incomes for the most surgical specialties (tables 4, 5).

Table 4.

Readmission characteristics and outcomes

Vascular surgery (n=128 096)
Cardiothoracic surgery (n=286 796)
General surgery (n=396 823)
Non-index Index Standardised
difference
p value Non-index Index Standardised
difference
p value Non-index Index Standardised
difference
p value
Hospital characteristics

Teaching status ·· ·· ·· <0·0001 ·· ·· ·· <0·0001 ·· ·· ·· <0·0001
 Non-teaching 10 701 (36·9%) 42 438 (42·8%) −0·440 ·· 31 256 (32·4%) 78 354 (41·5%) −0·579 ·· 34 832 (48·9%) 176 480 (54·2%) −0.148 ··
 Minor teaching 6422 (22·1%) 25 324 (25·5%) 0·044 ·· 20 849 (21·2%) 48 610 (25·7%) 0·037 ·· 15 635 (21·9%) 79 546 (24·4%) 0·052 ··
 Major teaching 651 (2·2%) 2620 (2·6%) 0·053 ·· 2003 (2·0%) 5001 (2·6%) 0·076 ·· 1759 (2·0%) 7264 (2·2%) 0·009 ··
 COTH non-integrated 4565 (15·7%) 15 395 (15·5%) 0·289 ·· 21 903 (22·3%) 33 320 (17·6%) 0·462 ·· 8440 (11·8%) 35 299 (10·8%) 0·105 ··
 COTH integrated 6655 (22·9%) 13 325 (13·4%) 0·358 ·· 21 509 (21·9%) 23 504 (12·4%) 0·447 ·· 10 577 (14·8%) 26 991 (8·3%) 0·074 ··
Number of beds 511·0 (443) 457·6 (360) 0·567 <0·0001 560·7 (552) 494·7 (397) 0·789 <0·0001 401·4 (382) 370·7 (329) 0·214 <0·0001
Number of intensive care unit beds 33·9 (40) 29·3 (31) 0·442 <0·0001 36·2 (46) 31·6 (33) 0·629 <0·0001 26·4 (32·7) 23·8 (27·1) 0·180 <0·0001
Number of staff 4489·5 (17 636) 3569·7 (13 847) 0·121 <0·0001 4908·0 (7195) 3702·1 (4462) 0·111 <0·0001 3396·4 (14 858) 2765·2 (10 411) 0·035 <0·0001
SCIP-9 compliance 27 892 (96·2%) 95 235 (96·1%) −0·022 <0·0001 94 292 (96·2%) 181 502 (96·1%) −0·027 <0·0001 68 243 (95·8%) 311 899 (95·8%) 0·003 0·36

Patient characteristics

Household income (US$) 68 817 (42 964) 67 117 (36 032) 0·086 <0·0001 68 443 (54 862) 66 183 (40 817) 0·055 <0·0001 65 780 (36 913) 65 749 (33 180) 0·098 0·81
Readmission for surgical DRG 6381 (22·0%) 42 121 (42·5%) 0·496 <0·0001 8332 (8·5%) 35 532 (18·8%) 0·340 <0·0001 10 704 (15·0%) 51 110 (15·7%) 0·042 <0·0001
Emergent or urgent readmission 24 919 (85·9%) 77 116 (77·8%) −0·261 <0·0001 87 344 (89·1%) 164 269 (87·0%) −0·243 <0·0001 61 208 (85·9%) 285 573 (87·7%) 0·097 <0·0001
Source of readmission ·· ·· <0·0001 ·· ·· ·· <0·0001 ·· ·· ·· <0·0001
 Emergency department 14 745 (50·9%) 40 218 (40·6%) 0·075 ·· 55 623 (56·8%) 92 883 (49·2%) 0·244 ·· 34 049 (47·8%) 172 558 (53·0%) −0·105 ··
 Clinic 9993 (34·5%) 45 689 (46·1 −0·261 ·· 28 814 (29·4%) 63 056 (33·4%) −0·243 ·· 24 622 (34·6%) 111 999 (34·4%) 0·097 ··
 Transfer 2516 (8·7%) 9614 (9·7%) 0·270 ·· 6439 (6·6%) 22 466 (11·9%) 0·142 ·· 7387 (10·4%) 21 814 (6·7%) −0·006 ··
 Other 1740 (6·0%) 3581 (3·6%) −0·104 ·· 7131 (7·3%) 10 384 (5·5%) −0·059 ·· 5185 (7·3%) 19 209 (5·9%) −0·065 ··
In-hospital mortality 1685 (5·8%) 4672 (4·7%) −0·037 <0·0001 3336 (3·4%) 6844 (3·6%) 0·017 0·06 4118 (5·8%) 16 028 (4·9%) −0·032 <0·0001
90 day mortality 5397 (18·6%) 15 474 (15·6%) −0·076 <0·0001 9519 (9·7%) 16 063 (8·5%) −0·028 <0·0001 13 320 (18·7%) 50 891 (15·6%) −0·032 <0·0001
Readmission length of stay (days) 6·7% 8·2 0·177 <0·0001 5·6 7·1 0·164 <0·0001 6·5 7·1 0·084 <0·0001
Any complication 12 354 (42·6%) 43 345 (43·7%) 0·019 <0·0001 50 602 (51·6%) 100 079 (53·0%) 0·017 <0·0001 25 205 (35·4%) 129 952 (39·9%) 0·092 <0·0001

Data are n (%) or mean (SD) unless otherwise stated. COTH=Council of Teaching Hospitals. SCIP=Surgical Care Improvement Program. DRG=diagnosis-related group. Vascular surgery=open abdominal aortic aneurysm repair, aortobifemoral bypass, infrainguinal arterial bypass. Cardiothoracic surgery=coronary artery bypass surgery, oesophagectomy. General surgery=cholecystectomy, pancreatectomy, colectomy, ventral hernia repair.

Table 5.

Readmission characteristics and outcomes

Neurosurgery (n=55 974)
Orthopaedic surgery (n=243 357)
Non-index Index Standardised difference p value Non-index Index Standardised difference p value
Hospital characteristics

Teaching status ·· ·· ·· <0·0001 ·· ·· ·· <0·0001
 Non-teaching 4678 (27·9%) 13 287 (33·9%) −0·556 ·· 33 660 (54·3%) 98 347 (54·2%) −0·215 ··
 Minor teaching 2493 (17·5%) 8270 (21·1%) −0·085 ·· 15 385 (24·8%) 47 060 (25·9%) 0·060 ··
 Major teaching 442 (2·6%) 1071 (2·7%) 0·023 ·· 1680 (2·7%) 5299 (2·9%) 0·083 ··
 COTH non-integrated 3296 (19·6%) 7574 (19·3%) 0·363 ·· 7126 (11·5%) 19 993 (11·0%) 0·165 ··
 COTH integrated 5420 (32·3%) 8993 (22·9%) 0·535 ·· 4102 (6·6%) 10 705 (5·9%) 0·093 ··
Number of beds 578·2 (455) 546·6 (405) 0·688 <0·0001 337·0 (361) 358·1 (316) 0·266 <0·0001
Number of intensive care unit beds 39·7 (42) 36·2 (36·3) 0·566 <0·0001 20·9 (30) 22·4 (25) 0·210 <0·0001
Number of staff 5040·4 (14 311) 4389·0 (7922) 0·156 <0·0001 2714·4 (13 464) 2524·6 (9268) 0·030 <0·0001
SCIP-9 compliance 16 130 (96·1%) 37 677 (96·1%) −0·001 0·82 98 911 (96·4%) 174 327 (96·1%) −0·067 <0·0001

Patient characteristics

Household income ($) 67 953 (47 358) 68 522 (42 377) 0·079 0·09 74 029 (49 752) 68 120 (36 375) 0·049 <0·0001
Readmission for surgical DRG 2869 (17·1%) 12 511 (31·9%) 0·377 <0·0001 8506 (13·7%) 48 110 (26·5%) 0·362 <0·0001
Emergent or urgent readmission 14 534 (86·6%) 32 841 (83·8%) −0·169 <0·0001 53 430 (86·2%) 104 100 (77·2%) −0·126 <0·0001
Source of readmission ·· ·· ·· <0·0001 ·· ·· ·· <0·0001
 Emergency department 8372 (49·9%) 17 011 (43·4%) 0·155 ·· 27 168 (43·9%) 70 748 (39·0%) 0·062 ··
 Clinic 5084 (30·3%) 13 522 (34·5%) −0·169 ·· 20 360 (32·9%) 73 469 (40·5%) −0·126 ··
 Transfer 2316 (13·8%) 7094 (18·1%) 0·105 ·· 7305 (11·8%) 23 220 (12·8%) 0·173 ··
 Other 1007 (6·0%) 1568 (4·0%) −0·092 7120 (11·5%) 13 967 (7·7%) −0·138 ··
In-hospital mortality 1328 (7·9%) 2595 (6·6%) −0·049 <0·0001 1321 (2·1%) 3120 (1·7%) −0·026 <0·0001
90 day mortality 5235 (31·2%) 10151 (25·9%) −0·111 <0·0001 3428 (5·5%) 8704 (4·8%) −0·027 <0·0001
Readmission length of stay (days) 6·4 7·4%) 0·123 <0·0001 3043 (4·9%) 10 006 (5·5%) 0·106 <0·0001
Any complication 3121 (18·6%) 7503 (19·1%) 0·007 0·14 14 615 (23·6%) 46 601 (25·7%) 0·048 <0·0001

Data are n (%) or mean (SD) unless otherwise stated. COTH=Council of Teaching Hospitals. SCIP=Surgical Care Improvement Program. DRG=diagnosis-related group. Neurosurgery=craniotomy. Orthopedic surgery=hip replacement, knee replacement.

The likelihood of patients being readmitted to the index hospital was increased when the readmission was to manage surgical complications compared with medical complications (tables 4, 5). Of the readmissions for medical complications, cardiac and infectious complications were most common overall. However, readmissions for medical or surgical complications were less likely to be for urgent or emergent indications if the patient returned to the index hospital than if they went to a non-index hospital (tables 4, 5).

We collected crude 90 day mortality data for patients who were readmitted to index and non-index hospitals for medical and surgical causes (appendix). For all types of surgery, unadjusted 90 day mortality was significantly lower for patients who were readmitted to the index hospital where surgery occurred than for patients readmitted to other hospitals (tables 4, 5, figure 1). These findings were supported by risk-adjusted, inverse probability weighted models for all 12 surgical procedures (index hospital readmission vs non-index hospital readmission, overall OR 0·74, 95% CI 0·66–0·83; figure 2). For all surgical procedures, 90 day mortality was reduced for patients readmitted to index hospitals compared with those admitted to non-index hospitals, and the effect was largest for those who underwent pancreatectomy (0·56, 0·45–0·69), aortobifemoral bypass (0·69, 0·61–0·77), colectomy (0·75, 0·73–0·77), and ventral hernia repair (0·75, 0·69–0·81, figure 2). Furthermore, readmission to the index hospital was the most consistent predictor of survival relative to the 74 other covariates in the model (appendix). We also identified similar results using logistic regression models without inverse probability weighting (data not shown).

Figure 1. Crude 90 day mortality.

Figure 1

Cardiothoracic surgery=coronary artery bypass surgery, oesophagectomy. General surgery=cholecystectomy, pancreatectomy, colectomy, ventral hernia repair. Neurosurgery=craniotomy. Orthopaedic surgery=hip replacement, knee replacement.

Figure 2.

Figure 2

Inverse probability weighting and instrumental variable analyses of 90 day mortality

In our instrumental variable analysis, we identified a similar, but attenuated, reduction in mortality for patients readmitted to the index hospital compared with those readmitted to non-index hospitals (figure 2). Patients with a higher probability of being readmitted to the index hospital instead of a non-index hospital after surgery had an 8% lower risk of 90 day mortality (overall OR 0·92, 95% CI 0·91–0·94) than did patients with a lower probability of index hospital readmission. For all 12 procedures assessed with instrumental variable analyses, ORs for risk-adjusted mortality favoured patients who returned to the index hospital, but this difference was significant for only six of 12 surgical procedures (figure 2).

Compared with readmission to non-index hospitals, the reduction in mortality was greatest when patients were readmitted to the index hospital for surgical complications (adjusted OR 0·75, 95% CI 0·74–0·77), and this effect existed for all surgical specialties (figure 1). Furthermore, patients who needed management for a surgical complication at the time of readmission had a significant reduction in 90 day mortality in all comparisons if the same surgeon was involved in both the index and readmission treatment (figure 3). Knowledge of whether patients received care from the same surgical providers during readmission to the index hospital increased the R2 value by 2·9% relative to models with hospital of readmission alone, supporting an incremental benefit for maintenance of continuity with respect to treatment providers. Patients who were readmitted to the index hospital for medical complications also had significantly reduced risk of 90-day mortality (adjusted OR 0·84, 95% CI 0·83–0·85) compared with those readmitted to different hospitals, although this effect was reduced in comparisons of readmissions for surgical complications.

Figure 3. Effects of continuity of care on in-hospital mortality and 90 day mortality.

Figure 3

Data stratified by whether patients returned to the index hospital where surgery occurred and whether they were managed by the same or different providers during index and readmission hospital stays.

To determine whether the effect seen at 90 days existed earlier in the readmission process, we also examined in-hospital mortality during the readmission period for medical and surgical complications (appendix). We noted that in-hospital mortality was also significantly reduced for patients readmitted to index hospitals after all surgical procedures except for cardiothoracic operations (tables 4, 5). These results were supported by risk-adjusted weighted models: the only patients not to have a lower risk of in-hospital mortality associated with readmission to the index hospital were those readmitted after coronary artery bypass grafting (appendix). Additionally, we detected a similar in-hospital mortality benefit for patients who were readmitted under the care of the same provider for the management of surgical complications as for the index surgery (figure 3).

We did sensitivity analyses to examine the effect of hospital teaching status, distance greater than 50 miles to the index hospital, readmission through the emergency department, and volume of procedures at the hospital on risk-adjusted 90 day mortality models. The mortality benefit associated with readmission to the index hospital remained significant for all surgical procedures in these models, except for two procedures (open abdominal aortic aneurysm repair and ventral hernia repair) in patients who lived more than 50 miles from the index hospital (table 6).

Table 6.

Sensitivity analysis

Odds ratio 95% CI p value
Major teaching hospital

Open abdominal aortic aneurysm repair 0·68 0·58–0·80 <0·0001
Aortobifemoral bypass 0·31 0·23–0·42 <0·0001
Infrainguinal arterial bypass 0·64 0·58–0·71 <0·0001
Coronary artery bypass surgery 0·59 0·56–0·63 <0·0001
Cholecystectomy 0·73 0·67–0·79 <0·0001
Colectomy 0·68 0·63–0·73 <0·0001
Ventral hernia repair 0·52 0·42–0·65 <0·0001
Craniotomy 0·79 0·73–0·86 <0·0001
Hip replacement 0·64 0·56–0·73 <0·0001

Non-teaching hospital

Open abdominal aortic aneurysm repair 0·85 0·72–0·85 <0·0001
Aortobifemoral bypass 0·68 0·59–0·78 <0·0001
Infrainguinal arterial bypass 0·79 0·76–0·83 <0·0001
Coronary artery bypass surgery 0·87 0·84–0·89 <0·0001
Cholecystectomy 0·84 0·81–0·87 <0·0001
Colectomy 0·76 0·74–0·79 <0·0001
Ventral hernia repair 0·75 0·68–0·82 <0·0001
Craniotomy 0·78 0·74–0·81 <0·0001
Hip replacement 0·80 0·75–0·85 <0·0001

Distance <50 miles to index hospital

Open abdominal aortic aneurysm repair 0·76 0·71–0·83 <0·0001
Aortobifemoral bypass 0·65 0·57–0·75 <0·0001
Infrainguinal arterial bypass 0·80 0·77–0·84 <0·0001
Coronary artery bypass surgery 0·81 0·79–0·83 <0·0001
Cholecystectomy 0·82 0·79–0·84 <0·0001
Colectomy 0·73 0·70–0·75 <0·0001
Ventral hernia repair 0·70 0·64–0·76 <0·0001
Craniotomy 0·77 0·74–0·81 <0·0001
Hip replacement 0·81 0·76–0·85 <0·0001

Distance ≥50 miles to index hospital

Open abdominal aortic aneurysm repair 0·93 0·83–1·05 0·26
Aortobifemoral bypass 0·68 0·54–0·86 0·002
Infrainguinal arterial bypass 0·72 0·65–0·78 <0·0001
Coronary artery bypass surgery 1·05 1·01–1·09 0·03
Cholecystectomy 0·88 0·82–0·94 <0·0001
Colectomy 0·86 0·81–0·92 <0·0001
Ventral hernia repair 0·87 0·72–1·04 0·12
Craniotomy 0·73 0·68–0·78 <0·0001
Hip replacement 0·77 0·67–0·88 <0·0001

Risk-adjusted odds ratio of 90 day mortality for readmission to same hospital stratified by teaching status (major teaching vs non-teaching) and distance to index hospital (<50 miles vs ≥50 miles). The reference group for all sensitivity analyses is readmission to other hospitals than where surgery occurred. We only included data for the nine procedures for which stratified regression models were able to converge.

Discussion

Patients undergoing major surgical procedures are often readmitted to hospitals to manage various medical and surgical complications, which are known to increase their risk of mortality.11 However, the best destination for these high-risk readmissions has not been established. Our results describe a consistent reduction in 90 day mortality for patients who were readmitted to the same hospital as where their surgery was done, for 12 diverse and common high-risk surgical procedures. In our inverse probability-weighted analysis, readmission to the index hospital was associated with a 26% reduction in risk of 90 day mortality compared with readmission to non-index hospitals. These results were supported by the hospital-level instrumental variable analysis, in which patients with the highest probability of index hospital readmission had an 8% lower risk of 90 day mortality than did patients with a lower likelihood of returning to the index hospital. This decrease in mortality risk was greatest for patients who were readmitted for surgical complications, rather than medical complications, especially when these patients were managed by the same surgical providers who did the index surgery. Together, these results suggest that patients who need readmission for complications after major surgery will have the best outcomes when managed by providers who maintain continuity of care throughout the patient’s postoperative course.

Hospital readmissions after surgery have become a high-profile metric of health-care quality worldwide.8 Financial penalties for unplanned readmissions are now being enforced in the USA and the UK, with hospitals taking responsibility for readmissions, irrespective of whether patients return to the same hospital where the surgery was done or to another hospital.2123 However, the association between readmission destination after surgery and patient outcomes has not been studied closely. A study24 that used a sample of 5% of Medicare claims for open and endovascular abdominal aortic aneurysm repair between 2005 and 2009 identified no benefit for 30 day mortality when patients returned to the same hospital where surgery was performed.24 These results contrast with those of our study, which used 100% of Part A and B claims over a longer time period, and showed consistent reductions in in-hospital and 90 day mortality outcomes for 12 surgical procedures, including open abdominal aortic aneurysm repair. Furthermore, our main effect remained unchanged, even when our models controlled for established measures of surgical quality, such as hospital size, teaching status, and volume of procedures. The mortality reduction associated with index hospital readmission has face validity, which was further supported by our finding that this effect was most evident when the same surgical providers were involved in management of surgical complications (figure 3).

Panel. Research in context.

Systematic review

Before we did this study, we searched PubMed and the Cochrane Library databases for all articles published between Jan 1, 1990, and Feb 1, 2014, that were relevant to hospital readmission destination after major surgery. We used the search terms “post-discharge”, “continuity of patient care”, “patient readmission”, “operative procedures” and “surgery”. Using these search criteria, we identified no prospective or retrospective studies that were applicable to this subject.

While the data for this study were being analysed, two relevant observational studies were published with some conflicting results. The first study assessed readmission destination after abdominal aortic aneurysm repair in a 5% sample of US Medicare beneficiaries from 2005 to 2009, but detected no significant mortality benefit associated with readmission to the index hospital.23 By contrast, another study that used 100% of Medicare claims for patients undergoing a composite of abdominal aortic aneurysm repair and four other procedures between 2009 and 2011 identified increased risk of 30 day mortality when patients were readmitted to hospitals other than where their surgery was performed.29 Although individual procedures or post-discharge complications were not assessed in this study, the results support an association between maintenance of continuity of post-discharge surgical care and improved survival.

Interpretation

Our data suggest that, when complications occur after major surgical procedures, patients who return to the index hospital and receive care from their original surgical team achieve significantly better 90 day survival than do patients whose readmission is to a non-index hospital. These data were consistent across a range of surgical procedures in models designed to control for measured and unmeasured confounding. Maintenance of continuity of post-discharge care within institutions where providers are familiar with a patient’s surgical history should be regarded as a measure of surgical quality, and be considered carefully when patients select a hospital in which to undergo major surgery.

These findings raise important questions about the sustainability of worldwide health policies that aim to concentrate major or complex surgical procedures into specialised hospitals at the regional level. Patients increasingly travel long distances to have their operations done at hospitals that are recognised as providing high-quality care or because of a financial incentive for health insurers.25 This strategy has been adopted by several large corporations in the USA as a way to control spending on major surgical procedures by sending employees to hospitals that specialise in complex surgical care and accept bundled payments.26 Additionally, the Centers of Excellence programme, established by Centers of Medicare and Medicaid Services, will only pay for some high-risk surgical procedures that are done in approved facilities.27 These programmes make many patients travel to high-volume hospitals for their operations. When patients need readmission for complications, the assumption is that patients can seek care at local hospitals without a significant penalty in surgical outcomes. Our results challenge this theory, and we argue that continuity of surgical care needs to be treated as a competing metric of quality in choices of hospital in which to undergo major surgery.

Maintenance of continuity of care after hospital discharge has been shown to be a plausible and effective strategy to improve outcomes in a range of patients with high-risk medical disorders.15,16,2830 For example, integrated post-hospital care delivery has been shown to reduce readmissions for patients with acute and chronic medical conditions, such as pneumonia, urinary tract infections, heart failure, and chronic obstructive pulmonary disease.15,16 Moreover, continuity of care has been reported to reduce complications and reduce overall health-care costs for patients with chronic diseases.15 This benefit is maintained when patients are cared for by teams within the same health-care setting, regardless of whether the same providers are involved with every episode of care.28 Although continuity of care in the management of patients undergoing surgery has not been thoroughly investigated, some studies12,29,30 suggest that patients returning to the same hospital and maintaining frequent contact with the surgical and primary care teams in the period following hospital discharge after high-risk surgery might have reduced risk of readmission and death. Our data further support the importance of continuity in surgical care, showing a dose-dependent reduction in mortality after readmission as the degree of continuity increased at the hospital level and provider level (figure 3). Moreover, our results suggest that continuity of care during readmission is a more consistent predictor of survival for patients who have undergone surgery after discharge from hospital than are other established quality measures such as hospital procedure volume.

Our study has several limitations. First, because our study was retrospective, readmission destination for patients was subject to selection bias and unmeasured confounding. This might include factors that determine severity of illness, time to presentation, and access to health care. Second, in our use of administrative billing data, we could not capture the full extent of the patient care continuity or conditions that determine medical complexity. Patients with the resources to return to the hospital where surgery was done might have clinical characteristics give a survival advantage. The findings from our instrumental variable analysis, however, reduce the likelihood that the effects seen for mortality result solely from unmeasured confounding. Third, our large, national study focused on Medicare patients and therefore our findings might not be generalisable to younger patient populations undergoing high-risk surgery or populations outside the USA.

Our results suggest that maintenance of continuity of surgical care is an important marker of quality, and should be taken into consideration in assessments of the advantages and potential unintended consequences of cost-effectiveness-driven regional centralisation of surgical care.

Supplementary Material

appendix

Acknowledgments

This study was funded by BSB and SRGF. PPG was supported by a Career Development Award (K08 HL05676) from the National Heart Lung and Blood Institute.

Footnotes

For the American Community survey data see http://www.census.gov/acs/www/data_documentation/data_main/

For the Hospital Compare website see http://www.medicare.gov/hospitalcompare/search.html

Contributors

BSB, PPG, MHS, and SRGF conceived and designed the study. DJG did the analyses and, with BSB, PPG, LWK, MHS, and SRGF assisted with the study design and analysis. BSB drafted the report and revised it with contributions from all authors.

Declaration of interests

We declare no competing interests.

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Supplementary Materials

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