What this is
- This study analyzes after Sleeve Gastrectomy (SG) vs. Roux-en-Y gastric bypass (RYGB).
- It uses data from the Dutch Audit for Treatment of Obesity, focusing on patients achieving significant weight loss.
- The primary outcome is defined as a ≥10% weight increase from the lowest recorded weight.
- Secondary outcomes include remission of comorbidities like type 2 diabetes and hypertension.
Essence
- Patients undergoing Sleeve Gastrectomy (SG) are more likely to experience compared to those undergoing Roux-en-Y gastric bypass (RYGB). This study found that SG patients had a higher likelihood of and were less likely to achieve remission of comorbidities.
Key takeaways
- SG patients had a higher likelihood of compared to RYGB patients, with an odds ratio (OR) of 2.07. This indicates that patients who had SG were more than twice as likely to regain weight after initially losing it.
- SG patients were less likely to achieve remission of type 2 diabetes, hypertension, dyslipidemia, gastroesophageal reflux, and obstructive sleep apnea compared to RYGB patients. This suggests that RYGB may provide better metabolic outcomes.
- Among SG patients who experienced but maintained ≥20% (), higher rates of comorbidity remission were observed compared to those who did not maintain this weight loss. This indicates the importance of maintaining weight loss for health benefits.
Caveats
- Not all patients completed the 5-year follow-up, which may affect the precision of the estimates. However, matched groups were balanced on follow-up years.
- Patients undergoing revision surgery were excluded, potentially omitting those with the worst outcomes. This may limit the generalizability of the findings.
- Unmeasured confounders such as surgeon preference may still influence results despite matching on known variables.
Definitions
- Weight Recurrence (WR): Defined as a ≥10% weight increase from the lowest recorded weight after achieving ≥20% total weight loss.
- Total Weight Loss (TWL): The percentage of weight lost from the initial weight, used as a measure of surgical effectiveness.
AI simplified
Methods
Study design
This population based study used data from the Dutch Audit for Treatment of Obesity (DATO). The DATO is a mandatory nationwide audit in which all bariatric procedures are registered since 2015. Previous verification of the DATO data has shown the validity of the data [16]. In accordance with the Dutch Institute for Clinical Auditing (DICA) regulations and following the ethical standards as stated in Dutch law, no informed consent from patients was needed as this is an opt-out registry. This study was approved by all the scientific committee members of the DATO (reference number 2022-16).
Patient selection
Patients who underwent a primary Sleeve Gastrectomy or Roux-en-Y Gastric Bypass between 2015 and 2018 were identified. Inclusion criteria were achieving ≥ 20% Total Weight loss (TWL) at the first year of follow-up and having at least one subsequent follow-up measurement between 2 up to 5 years. Patients undergoing revision surgery during the 2–5 year follow-up were excluded. The time frame to determine weight loss in the DATO consists of the follow-up year with a range of ± 3 months, meaning that patients could have, e.g., their 1-year follow-up visit between 9 and 15 months after the primary surgery.
Outcome parameters
The primary outcome of this study was ‘weight recurrence (WR)’, defined as ≥ 10% weight increase from Nadir during the last recorded follow-up between 2 and 5 years. Nadir (lowest recorded weight) was determined in the 1st year of follow-up, conditional on achieving ≥ 20% TWL given inclusion criteria. Secondary outcomes included achieving ≥ 20% TWL or ≥ 50% Excess Weight Loss (EWL) at last recorded follow-up, WR without maintaining 20% TWL at last recorded follow-up, and comorbidity remission for hypertension (HTN), gastroesophageal reflux disease (GERD), type 2 diabetes (T2D), dyslipidemia, obstructive sleep apnea syndrome (OSAS), and osteoarthritis at last recorded follow-up.
Statistical analysis
Baseline characteristics between the two treatment groups were compared using the Chi-square test for categorical variables and depending on the distribution the t-test or Mann–Whitney U test for continuous variables. To evaluate the association between WR and type of procedure, all variables with a p-value < 0.10 in univariable analyses were included in the multivariable logistic regression model to compare RYGB and SG on WR, adjusted for baseline characteristics and year of follow-up. Baseline characteristics were gender, age, body mass index (BMI), American Society of Anesthesiologists (ASA) classification, T2D, HTN, GERD, OSAS, dyslipidemia, and osteoarthritis. In addition, year of follow-up was included because the duration of follow-up is described to be associated with weight recurrence [17]. Multicollinearity was assessed in all models with the Variance Inflation Factor not exceeding 2. Additionally, the two treatments were matched to adjust for confounding by indication as the patient-mix undergoing the two procedures has been shown to be systematically different [18]. Patients were matched 1:1 on all aforementioned characteristics and year of follow-up, using the nearest neighbor method with a caliper of 0.20 [15]. A standardized mean difference < 0.1 was considered to indicate balanced groups. After matching, propensity score matched analysis were conducted to evaluate the association between RYGB and SG on WR, adjusted for the propensity score. Similar analyses were done to compare the secondary outcomes between the matched groups.
Secondary outcomes were further explored within treatment groups among patients experiencing WR. The Chi-square test was utilized to analyze differences within the (un)matched RYGB group by comparing patients who experienced WR without maintaining 20% TWL with patients who maintained 20% TWL from starting weight. The same analysis was done for the SG group. All statistical analyses were performed in R version 3.4.2. A p-value < 0.05 was considered statistically significant in all analyses.
Results
Between 2015 and 2018 a total of 24.895 patients undergoing primary RYGB or SG who achieved ≥ 20%TWL at 1-year follow-up were eligible for analysis. Of these, 19.762 (79.4%) patients were included as they had an additional follow-up measurement between 2–5 years and did not undergo revision surgery, with 4780 patients undergoing primary SG and 14,982 patients undergoing primary RYGB (Fig. 1). The follow-up percentages for the 2nd, 3rd, 4th, and 5th year among eligible patients given their year of operation were 89.3%, 70%, 58%, and 44.6%, respectively. Baseline characteristics between the two treatment groups are shown in Table 1. Patients undergoing SG on average were younger and had a higher BMI. In addition, patients undergoing SG were more often male and had higher ASA classification but less often had T2D, HTN, dyslipidemia, GERD, OSAS and osteoarthritis at baseline than patients undergoing RYGB.
Flowchart of included patients DATO Dutch Audit for Treatment of Obesity, RYGB Roux-en-Y Gastric Bypass, SG Sleeve Gastrectomy and TWL Total Weight Loss
| Characteristics | Before matching | valuep | SMD | After matching | valuep | SMD | ||
|---|---|---|---|---|---|---|---|---|
| RYGB | SG | RYGB | SG | |||||
| n | 14,982 | 4780 | 4693 | 4693 | ||||
| Sex, No. (%) | ||||||||
| Male | 2612 (17.4) | 1169 (24.5) | < 0.01 | 0.17 | 1115 (23.8) | 1122 (23.9) | 0.88 | < 0.01 |
| Female | 12,370 (82.6) | 3611 (75.5) | 3578 (76.2) | 3571 (76.1) | ||||
| Age, mean (SD) | 45.45 (10.69) | 41.96 (12.30) | < 0.01 | 0.3 | 42.26 (11.14) | 42.11 (12.29) | 0.53 | 0.01 |
| BMI mean (SD) | 43.22 (4.89) | 45.33 (6.36) | < 0.01 | 0.37 | 45.08 (5.61) | 45.08 (5.97) | 0.96 | < 0.01 |
| ASA classification, No. (%) | ||||||||
| I–II | 8837 (59.0) | 2163 (45.3) | < 0.01 | 0.28 | 2168 (46.2) | 2149 (45.8) | 0.71 | 0.01 |
| ≥ III | 6145 (41.0) | 2617 (54.7) | 2525 (53.8) | 2544 (54.2) | ||||
| T2D, No. (%) | ||||||||
| Not present | 11,762 (78.5) | 4087 (85.5) | < 0.01 | 0.18 | 4008 (85.4) | 4008 (85.4) | 1 | < 0.01 |
| Present | 3220 (21.5) | 693 (14.5) | 685 (14.6) | 685 (14.6) | ||||
| Hypertension, No. (%) | ||||||||
| Not present | 9483 (63.3) | 3243 (67.8) | < 0.01 | 0.1 | 3110 (66.3) | 3175 (67.7) | 0.16 | 0.03 |
| Present | 5499 (36.7) | 1537 (32.2) | 1583 (33.7) | 1518 (32.3) | ||||
| Dyslipidemia, No. (%) | ||||||||
| Not present | 11,696 (78.1) | 4002 (83.7) | < 0.01 | 0.14 | 3866 (82.4) | 3918 (83.5) | 0.16 | 0.03 |
| Present | 3286 (21.9) | 778 (16.3) | 827 (17.6) | 775 (16.5) | ||||
| GERD, No. (%) | ||||||||
| Not present | 12,596 (84.1) | 4230 (88.5) | < 0.01 | 0.13 | 4169 (88.8) | 4147 (88.4) | 0.5 | 0.01 |
| Present | 2384 (15.9) | 550 (11.5) | 524 (11.2) | 546 (11.6) | ||||
| OSAS, No. (%) | ||||||||
| Not present | 12,089 (80.7) | 3925 (82.1) | 0.03 | 0.04 | 3851 (82.1) | 3855 (82.1) | 0.94 | < 0.01 |
| Present | 2893 (19.3) | 855 (17.9) | 842 (17.9) | 838 (17.9) | ||||
| Osteoarthritis, No. (%) | ||||||||
| Not present | 7528 (50.2) | 2678 (56.0) | < 0.01 | 0.12 | 2594 (55.3) | 2622 (55.9) | 0.57 | 0.01 |
| Present | 7452 (49.7) | 2101 (44.0) | 2099 (44.7) | 2071 (44.1) | ||||
| Weight recurrence, No. (%) | ||||||||
| < 10% | 12,687 (84.7) | 3731 (78.1) | < 0.01 | 0.17 | 4097 (87.3) | 3655 (77.9) | < 0.01 | 0.25 |
| ≥ 10% | 2295 (15.3) | 1049 (21.9) | 596 (12.7) | 1038 (22.1) | ||||
Primary outcome
Adjusted for differences in baseline characteristics, Table 2 shows that patients who underwent SG had a higher likelihood to experience WR compared with patients who underwent RYGB [OR 2.07, 95% CI (1.89–2.27), p < 0.01]. Additional factors associated with a higher likelihood on WR were longer follow-up, with the 5th year having the highest likelihood [OR 10.9, 95% CI (9.49–12.51), p < 0.01]. On the other hand, older patients and those with a higher BMI at primary surgery were less likely to experience WR [OR 0.99, 95% CI (0.98–0.99), p < 0.01] and [OR 0.99, 95% CI (0.98–1.00), p < 0.01], respectively.
After matching 4693 patients from both treatment groups, there were no significant differences in baseline characteristics with all standardized differences below 0.1 indicating balanced groups (Table 1). In these matched groups, patients who underwent SG still had a higher likelihood to experience WR compared with RYGB [OR 1.98, 95% CI (1.77–2.21), p < 0.01] (Table 3).
| Multivariable analyses (= 19.762)n | Weight recurrence between 2 up to 5 years of follow-up | ||
|---|---|---|---|
| No. (%)a | aOR [95% CI] | valuep | |
| Type of procedure | |||
| RYGB | 14,982 (75.8) | Ref | |
| SG | 4780 (24.2) | 2.07 (1.89–2.27) | < 0.01 |
| Sex | |||
| Male | 3781 (19.1) | Ref | |
| Female | 15,981 (80.9) | 0.92 (0.83–1.02) | 0.13 |
| Age | 19,762 (100) | 0.99 (0.98–0.99) | < 0.01 |
| BMI | 19,762 (100) | 0.99 (0.98–1.00) | < 0.01 |
| ASA | |||
| I/II | 11,000 (55.7) | Ref | |
| ≥ III | 8762 (44.3) | 0.8 (0.74–0.88) | < 0.01 |
| Hypertension | |||
| Not present | 12,726 (64.4) | Ref | |
| Present | 7036 (35.6) | 0.93 (0.85–1.02) | 0.14 |
| GERD | |||
| Not present | 16,826 (85.1) | Ref | |
| Present | 2934 (14.9) | 0.97 (0.86–1.1) | 0.63 |
| Hyperlipidemia | |||
| Not present | 15,698 (79.4) | Ref | |
| Present | 4064 (20.6) | 0.97 (0.87–1.08) | 0.55 |
| Follow-up (T0 = 1-year)b | |||
| 2-year (= 19,762)n | 17,649 (89.3) | Ref | |
| 3-year (= 14,593)n | 10,225 (70) | 3.91 (3.46–4.43) | < 0.01 |
| 4-year (= 9482)n | 5502 (58) | 7.59 (6.69–8.6) | < 0.01 |
| 5-year (= 4460)n | 1990 (44.6) | 10.9 (9.49–12.51) | < 0.01 |
| aOR [95% CI] | valuep | |
|---|---|---|
| Primary outcomea | ||
| ≥ 10% weight recurrence | 1.98 [1.77–2.21] | < 0.01 |
| Secondary outcome(s)a | ||
| ≥ 10% WR and < 20% TWL (2 up to 5-years) | 1.99 [1.6–2.46] | < 0.01 |
| ≥ 20% TWL (2 up to 5-years) | 0.36 [0.31–0.42] | < 0.01 |
| ≥ 50% EWL (2 up to 5-years) | 0.43 [0.38–0.49] | < 0.01 |
| Comorbidity remissionab | ||
| T2D | ||
| HbA1c (< 53 mmol HbA1c/mol HbA) | 0.69 [0.56–0.86] | < 0.01 |
| Hypertension | ||
| Normotensive (< 120/80 mmHg) | 0.75 [0.65–0.87] | < 0.01 |
| Dyslipidemia | ||
| Normal lipid spectrum (LDL, HDL, Triglycerides) | 0.44 [0.36–0.54] | < 0.01 |
| GERD | ||
| Absence of symptoms and a normal physiological test (by 24–48 h pH measurement or by gastro-duodenoscopy) | 0.25 [0.18–0.34] | < 0.01 |
| OSAS | ||
| No symptoms after preoperative diagnosis of OSAS by means of poly(somno) graphs (PSG), in combination with apnea–hypopnea index (AHI) < 5 and no (more) use of CPAP/BiPAP | 0.66 [0.54–0.8] | < 0.01 |
| Osteoarthritis | ||
| No symptoms after pre-operative diagnosis of joint complaints | 0.48 [0.41–0.55] | < 0.01 |
Secondary outcomes
Within the matched groups, patients who underwent SG were significantly less likely to maintain 20% TWL [OR 0.36, 95% CI (0.31–0.42), p < 0.01] or 50% EWL [OR 0.43, 95% CI (0.38–0.49), p < 0.01] at their last recorded follow-up compared with RYGB. Furthermore, patients undergoing SG were less likely to achieve comorbidity remission for T2D, HTN, dyslipidemia, GERD, OSAS, and osteoarthritis (Table 3).
Within the matched groups, a total of 596 (12.7%) patients had WR after RYGB and 1038 (22.1%) patients after SG. In addition, patients undergoing SG had a higher likelihood to experience WR without maintaining 20% TWL from starting weight than patients undergoing RYGB [OR 1.99, 95% CI (1.6–2.46), p < 0.01]. Matched patients undergoing SG with WR who maintained 20% TWL from starting weight, more often showed comorbidity remission for HTN (44.7% vs 29.4%), dyslipidemia (38.3% vs 19.3%), and OSAS (54% vs 20.3%) than patients who did not maintain 20%TWL after SG (Table 4). Among matched RYGB patients, such a difference in comorbidity remission was not found.
| Secondary outcomesat last recorded follow-upa | < 20% TWL | ≥ 20% TWL | -valuep |
|---|---|---|---|
| No. (%) | No. (%) | ||
| a Before propensity score matching | |||
| Unmatched SG patients with WR ≥ 10% | = 461N | = 588N | |
| T2D remission | 33 (44) | 44 (61.1) | 0.06 |
| HTN remission | 42 (29.2) | 80 (44.2) | 0.01 |
| Dyslipidemia remission | 16 (19.3) | 41 (38.3) | 0.01 |
| GERD remission | 7 (12.7) | 9 (11.7) | 1 |
| OSAS remission | 16 (20.3) | 54 (52.9) | 0.01 |
| Osteoarthritis remission | 26 (11.9) | 43 (16.8) | 0.17 |
Discussion
Knowledge on differences in risks for weight recurrence between bariatric procedures is crucial during pre-operative consultation of patients. The current nationwide study including 19.762 patients, showed that patients who achieved at least 20%TWL at 1-year follow-up after SG had an increased likelihood on weight recurrence, were less likely to maintain 20%TWL and less likely to achieve comorbidity remission at their last follow-up to 5-years compared with similar patients after RYGB. In addition, matched patients with weight recurrence after SG who maintained ≥ 20% TWL more often showed comorbidity remission compared with those who did not maintain 20% TWL.
Weight recurrence has been described to result in lowered quality of life and comorbidity deterioration [19–21]. Factors associated with weight recurrence identified in this study are age, BMI, and longer follow-up, which are in line with current literature [5, 17, 22]. It has to be noted that BMI was not associated with increased weight recurrence, which has been shown to be more likely for patients with a baseline BMI ≥ 50 [23]. The matched patients in this study on average had a BMI of 45, meaning that the difference in weight recurrence between both surgery groups is estimated among patients with mostly BMI < 50. In addition, a previous systematic review showed that patients undergoing SG more often have significant weight recurrence compared with RYGB, although the majority of the included studies had small sample sizes [24]. The current study had much larger sample size due to the nationwide character and used propensity score matching, often referred to as pseudo-randomization, so that it provides stronger evidence for the higher likelihood of patients undergoing SG to experience weight recurrence up to 5-years of follow-up than after RYGB.
Less postoperative weight loss has been described to be associated with higher risks on weight recurrence [17, 25]. Since studies have shown better short-term weight loss results after RYGB than after SG [26], our study included only patients who initially achieved ≥ 20%TWL at 1-year to ensure the same starting point so that we could attribute any difference in outcome to the different procedure rather than the initial difference in weight loss. Despite initially achieving 20%TWL, weight recurrence occurred in 12.7% of patients after RYGB and 22.1% after SG. This suggests that even in patients who initially achieved adequate weight loss, longer follow-up is required to detect weight recurrence in a timely manner. In addition, it suggests that patients may require multiple sequential or parallel treatment strategies such as additional surgery [18] or medical treatment [27] to prevent or treat weight recurrence, as a single bariatric procedure may not always suffice [28–31] .
Comparative studies between RYGB and SG in achieving T2D remission remain controversial. Previous studies have shown that RYGB has better T2D remission than SG at 1 year [32], whereas the difference after 5-years was not significantly different in one study [33], but in favor of RYGB in another study [34]. The latter results are consistent with our finding of a higher likelihood on T2D remission after RYGB among patients with initial adequate weight loss, as well as a lower likelihood on weight recurrence. However, the current study also shows that among patients with weight recurrence there is no difference in T2D remission between patients who maintained the ≥ 20%TWL compared with their starting weight or not, for either treatment groups. A possible explanation could be the initial effect of achieving 20% TWL on T2D remission, as a previous study showed that patients within similar weight change classes show no differences in T2D remission between different procedures [35]. In summary, there is need for larger studies with longer follow-up to confirm the association between weight recurrence and different likelihood of T2D remission between these treatment groups.
The current results support the findings of previous studies showing that RYGB achieves better comorbidity control when compared with patients undergoing SG [36–38]. In addition it suggests that patients undergoing RYGB may be less affected by ≥ 10% weight recurrence and its concomitant effect on comorbidity remission, regardless of maintaining 20% TWL, suggesting more favorable metabolic effects after RYGB compared with SG. Furthermore, these results show that maintaining adequate weight loss after weight recurrence less likely affects comorbidity control. Future studies are needed to investigate when patients will benefit the most of sequential (surgical) treatments when weight recurrence is evaluated in combination with TWL from starting weight and comorbidity control.
There are some limitations that should be noted. First, not all patients completed the 5-year follow-up as this is an ongoing registry, meaning that these estimates may be less precise and that results may be different if all patients have completed the 5-year follow-up. However, since both treatments groups were matched on follow-up in subsequent years, this has not affected the comparison between treatment groups. Second, this study did not include patients who eventually underwent revision surgery, which most likely are patients with the worst outcomes including weight recurrence. In addition, the postoperative complications were not included, which should be taken into account for high-risk patients during shared decision-making. Finally, matching cannot adjust for unmeasured confounders such as surgeon preference, which are assumed to be balanced by matching on the measured confounders. Despite the limitations, this is the first nationwide study on weight recurrence after initially achieving 20%TWL for patients undergoing SG and RYGB. Taking into account the likelihood of weight recurrence, maintaining ≥ 20%TWL, and comorbidity remission, the RYGB could be favored in terms of lower frequency of weight recurrence and more frequent comorbidity remission compared with SG. However, other factors have to be taken into account during shared decision-making for a particular type of procedure, such as complication risks and revision surgery.
Conclusion
Patients undergoing SG are more likely to experience weight recurrence, and less likely to achieve comorbidity remission than patients undergoing RYGB. In addition, patients with weight recurrence after SG who maintained 20%TWL from starting weight more often showed comorbidity remission than patients not maintaining 20%TWL, suggesting that this should be taken into account when evaluating weight recurrence.
Acknowledgements
The authors thank all surgeons, registrars, physician assistants and administrative nurses who registered patients in the DATO. This manuscript was written on behalf of the Dutch Audit for Treatment of Obesity (DATO) Research Group: L.M. de Brauw, MD, PhD (Spaarne Gasthuis, Haarlem); S.M.M. de Castro, MD, PhD (OLVG Hospital, Amsterdam); S.L. Damen, MD (Medical Centre Leeuwarden, Leeuwarden); A. Demirkiran, MD, PhD (Red Cross Hospital, Beverwijk); M. Dunkelgrün, MD, PhD (Franciscus Gasthuis & Vlietland, Rotterdam); I.F. Faneyte, MD, PhD (ZGT Hospital, Almelo & Hengelo); J.W.M. Greve, MD, PhD (Zuyderland Medical Centre, Heerlen); G. van ’t Hof, MD (Dutch Bariatric Centre South-West, Bergen op Zoom); I.M.C. Janssen, MD, PhD (Dutch Obesity Clinics, Zeist); E.H. Jutte, MD (Medical Centre Leeuwarden, Leeuwarden); R.A. Klaassen, MD (Maasstad Hospital, Rotterdam); E.A.G.L. Lagae, MD, PhD (ZorgSaam Zorggroep Zeeuws-Vlaanderen, Terneuzen); B.S. Langenhoff, MD, PhD (ETZ Hospital, Tilburg); R.S.L. Liem, MD (Groene Hart Hospital & Dutch Obesity Clinic, Gouda & The Hague); A.A.P.M. Luijten, MD, PhD (Máxima Medical Centre, Eindhoven); S.W. Nienhuijs, MD, PhD (Catharina Hospital, Eindhoven); R. Schouten, MD, PhD (Flevo Hospital, Almere); R.M. Smeenk, MD, PhD (Albert Schweitzer Hospital, Dordrecht); D.J. Swank, MD, PhD (Dutch Obesity Clinic West, Den Haag); M.J. Wiezer, MD, PhD (St. Antonius Hospital, Utrecht); W. Vening, MD, PhD (Rijnstate Hospital, Arnhem)
Abbreviations
Declarations
Disclosures
Drs. Ronald Liem is educational consultant for Medtronic, gives medical expert training for Olympus, and is part of clinical immersion for bariatric surgery at the Johnson and Johnson Institute. Prof. Dr. Jan Willem Greve is on the Scientific Advisory Board of GI Dynamics and is on the speakers’ bureau of Bariatric Solutions, Drs. Erman Akpinar, Dr. Simon Nienhuijs, and Dr. Perla Marang-van de Mheen have no conflict of interest or financial ties to disclose.
Footnotes
Contributor Information
Erman O. Akpinar, Email: eo.akpinar@hotmail.com
Ronald S. L. Liem, Email: ronald.liem@ghz.nl
Simon W. Nienhuijs, Email: simon.nienhuijs@cze.nl
Jan Willem M. Greve, Email: j.greve@zuyderland.nl
Perla J. Marang-van de Mheen, Email: P.J.Marang-van_de_Mheen@lumc.nl
the Dutch Audit for Treatment of Obesity Research Group:
L. M. de Brauw↗, S. M. M. de Castro↗, S. L. Damen↗, A. Demirkiran↗, M. Dunkelgrün↗, I. F. Faneyte↗, J. W. M. Greve↗, G. van ’t Hof↗, I. M. C. Janssen↗, E. H. Jutte↗, R. A. Klaassen↗, E. A. G. L. Lagae↗, B. S. Langenhoff↗, R. S. L. Liem↗, A. A. P. M. Luijten↗, S. W. Nienhuijs↗, R. Schouten↗, R. M. Smeenk↗, D. J. Swank↗, M. J. Wiezer↗, and W. Vening↗