Identifying mechanisms that predict weight trajectory after bariatric surgery: rationale and design of the biobehavioral trial
Open accessAbstract
Bariatric surgery is currently the most efficacious and durable intervention for severe obesity. The most commonly performed procedures in the United States are the Roux-en-Y gastric bypass and the sleeve gastrectomy, which involve significant anatomic and physiologic alterations that lead to changes in behavior and biology. Unfortunately, many patients experience suboptimal weight loss and/or substantial weight regain. Eating and physical activity/sedentary behaviors, mood, cognition, and the gut microbiome all change postoperatively and have an association with weight change. The longitudinal relationship between changes in the gut microbiome and postoperative weight trajectory has not been explored thoroughly, and the interactive associations among the gut microbiome and the other variables that impact weight have been similarly understudied. The following is a methods and design description for a prospective, 24-month longitudinal study of 144 bariatric surgery patients, at 2 sites, that aimed to identify predictors of weight loss trajectories over 24 months after Roux-en-Y gastric bypass and the sleeve gastrectomy. Specifically, the study will examine the relationships between empirically supported behavioral and biological variables and their combined impact on postoperative weight trajectories. Novel data collection will include intensive measurement of problematic eating behaviors and diet and physical activity postoperatively, which may be altered in parallel with, or in response to, changes observed in the gut microbiota. Identifying postoperative predictors of weight loss and co-morbidity resolution should inform development of novel interventions that are tailored to individual patients' risk profiles to optimize and sustain more favorable weight trajectories.
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About 20-25% of patients struggle with considerable weight regain after bariatric surgery.
“where about 20–25% of patients struggle with considerable WR after BS [1–5].”
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Cites
DADA2: High–resolution sample inference from Illumina amplicon data
Callahan, B. J., McMurdie, P. J., Rosen, M. J., Han, A. W., Johnson, A. J. A., & Holmes, S. P. (2016) · Nature Methods · doi:10.1038/nmeth.3869 · Cited by 35,698 · see citing works
QIIME allows analysis of high-throughput community sequencing data
Caporaso, J. G., Kuczynski, J., Stombaugh, J., Bittinger, K., Bushman, F. D., Costello, E. K., Fierer, N., Peña, A. G., Goodrich, J. K., Gordon, J. I., et al. (2010) · Nature Methods · doi:10.1038/nmeth.f.303 · Cited by 34,887 · see citing works
Search and clustering orders of magnitude faster than BLAST
Edgar, R. C. (2010) · Bioinformatics · doi:10.1093/bioinformatics/btq461 · Cited by 20,617 · see citing works
Naive Bayesian Classifier for Rapid Assignment of rRNA Sequences into the New Bacterial Taxonomy
Wang, Q., Garrity, G. M., Tiedje, J. M., & Cole, J. R. (2007) · Applied and Environmental Microbiology · doi:10.1128/aem.00062-07 · Cited by 19,770 · see citing works
Psychometric properties of the Beck Depression Inventory: Twenty-five years of evaluation
Beck, A. T., Steer, R. A., & Carbin, M. G. (1988) · Clinical Psychology Review · doi:10.1016/0272-7358(88)90050-5 · Cited by 11,696 · see citing works
Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence
Singer, J. D., & Willett, J. B. (2003) · doi:10.1093/acprof:oso/9780195152968.001.0001 · Cited by 10,647 · see citing works
The Statistical Analysis of Failure Time Data.
Aitkin, M. A., Kalbfleisch, J. D., & Prentice, R. L. (1981) · Biometrics · doi:10.2307/2530581 · Cited by 9,875 · see citing works
MUSCLE: a multiple sequence alignment method with reduced time and space complexity
Edgar, R. C. (2004) · BMC Bioinformatics · doi:10.1186/1471-2105-5-113 · Cited by 8,879 · see citing works
UniFrac: a New Phylogenetic Method for Comparing Microbial Communities
Lozupone, C., & Knight, R. (2005) · Applied and Environmental Microbiology · doi:10.1128/aem.71.12.8228-8235.2005 · Cited by 8,227 · see citing works
Changes of Intestinal Functions in Liver Cirrhosis
Fukui, H., & Wiest, R. (2016) · Inflammatory Intestinal Diseases · doi:10.1159/000444436 · Cited by 6,820 · see citing works
Bariatric Surgery: A Systematic Review and Meta-analysis
Buchwald, H., Avidor, Y., Braunwald, E., Jensen, M. D., Pories, W., Fahrbach, K., & Schoelles, K. (2004) · JAMA · doi:10.1001/jama.292.14.1724 · Cited by 6,800 · see citing works
Sontrop, J. M., Dixon, S. N., Garg, A. X., Jiménez, I. B., Dohein, O., Huang, S. S., & Clark, W. F. (2013) · American Journal of Nephrology · doi:10.1159/000350377 · Cited by 5,903 · see citing works
Required sample size to detect the mediated effect
Fritz, M. S., & MacKinnon, D. P. (2007) · Psychological Science · doi:10.1111/j.1467-9280.2007.01882.x · Cited by 4,810 · see citing works
Negative affectivity: the disposition to experience aversive emotional states
Watson, D., & Clark, L. A. (1984) · Psychological Bulletin · doi:10.1037/0033-2909.96.3.465 · Cited by 4,636 · see citing works
Kraken: ultrafast metagenomic sequence classification using exact alignments
Wood, D. E., & Salzberg, S. L. (2014) · Genome Biology · doi:10.1186/gb-2014-15-3-r46 · Cited by 4,521 · see citing works
A general multilevel SEM framework for assessing multilevel mediation
Preacher, K. J., Zyphur, M. J., & Zhang, Z. (2010) · Psychological Methods · doi:10.1037/a0020141 · Cited by 3,796 · see citing works
Intestinal inflammation targets cancer-inducing activity of the microbiota
Arthur, J. C., Perez-Chanona, E., Mühlbauer, M., Tomkovich, S., Uronis, J. M., Fan, T.-J., Campbell, B. J., Abujamel, T., Dogan, B., Rogers, A. B., et al. (2012) · Science · doi:10.1126/science.1224820 · Cited by 2,263 · see citing works
Moshfegh, A. J., Rhodes, D. G., Baer, D. J., Murayi, T., Clemens, J. C., Rumpler, W. V., Paul, D. R., Sebastian, R. S., Kuczynski, K. J., Ingwersen, L. A., et al. (2008) · American Journal of Clinical Nutrition · doi:10.1093/ajcn/88.2.324 · Cited by 1,988 · see citing works
Human gut microbiota in obesity and after gastric bypass
Zhang, H., DiBaise, J. K., Zuccolo, A., Kudrna, D., Braidotti, M., Yu, Y., Parameswaran, P., Crowell, M. D., Wing, R., Rittmann, B. E., et al. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0812600106 · Cited by 1,880 · see citing works
Gut feelings: the emerging biology of gut-brain communication
Mayer, E. A. (2011) · Nature Reviews Neuroscience · doi:10.1038/nrn3071 · Cited by 1,726 · see citing works
Species-level functional profiling of metagenomes and metatranscriptomes
Franzosa, E. A., McIver, L. J., Rahnavard, G., Thompson, L. R., Schirmer, M., Weingart, G., Lipson, K. S., Knight, R., Caporaso, J. G., Segata, N., et al. (2018) · Nature Methods · doi:10.1038/s41592-018-0176-y · Cited by 1,693 · see citing works
The statistical analysis of failure time data
Herson, J. (1981) · Controlled Clinical Trials · doi:10.1016/0197-2456(81)90009-x · Cited by 1,391 · see citing works
Binge eating—Nature, assessment, and treatment
Treasure, J. L. (1994) · Behaviour Research and Therapy · doi:10.1016/0005-7967(94)90024-8 · Cited by 873 · see citing works
Structure of Dietary Measurement Error: Results of the OPEN Biomarker Study
Kipnis, V. (2003) · American Journal of Epidemiology · doi:10.1093/aje/kwg091 · Cited by 868 · see citing works
Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence
Anderson, C. J. (2005) · Journal of the American Statistical Association · doi:10.1198/jasa.2005.s7 · Cited by 848 · see citing works
Courcoulas, A. P. (2013) · JAMA · doi:10.1001/jama.2013.280928 · Cited by 799 · see citing works
Liang, S., Wang, T., Hu, X., Luo, J., Li, W., Wu, X., Duan, Y., & Jin, F. (2015) · Neuroscience · doi:10.1016/j.neuroscience.2015.09.033 · Cited by 651 · see citing works
Evans, C. C., LePard, K. J., Kwak, J. W., Stancukas, M. C., Laskowski, S., Dougherty, J., Moulton, L., Glawe, A., Wang, Y., Leone, V., et al. (2014) · PLoS ONE · doi:10.1371/journal.pone.0092193 · Cited by 587 · see citing works
Weight Recidivism Post-Bariatric Surgery: A Systematic Review
Karmali, S., Brar, B., Shi, X., Sharma, A. M., de Gara, C., & Birch, D. W. (2013) · Obesity Surgery · doi:10.1007/s11695-013-1070-4 · Cited by 574 · see citing works
Obese-type gut microbiota induce neurobehavioral changes in the absence of obesity
Bruce-Keller, A. J., Salbaum, J. M., Luo, M., Blanchard, E., Taylor, C. M., Welsh, D. A., & Berthoud, H.-R. (2015) · Biological Psychiatry · doi:10.1016/j.biopsych.2014.07.012 · Cited by 563 · see citing works
Bajaj, J. S., Hylemon, P. B., Ridlon, J. M., Heuman, D. M., Daita, K., White, M. B., Monteith, P., Noble, N. A., Sikaroodi, M., & Gillevet, P. M. (2012) · American Journal of Physiology-Gastrointestinal and Liver Physiology · doi:10.1152/ajpgi.00152.2012 · Cited by 525 · see citing works
Chen, K., Chen, H., Faas, M. M., de Haan, B. J., Li, J., Xiao, P., Zhang, H., Diana, J., de Vos, P., & Sun, J. T. (2017) · Molecular Nutrition & Food Research · doi:10.1002/mnfr.201601006 · Cited by 461 · see citing works
Melancholic microbes: a link between gut microbiota and depression
Dinan, T. G., & Cryan, J. F. (2013) · Neurogastroenterology & Motility · doi:10.1111/nmo.12198 · Cited by 424 · see citing works
Grazing and Loss of Control Related to Eating: Two High‐risk Factors Following Bariatric Surgery
Colles, S. L., Dixon, J. B., & O’Brien, P. E. (2008) · Obesity · doi:10.1038/oby.2007.101 · Cited by 420 · see citing works
Meany, G., Conceição, E., & Mitchell, J. E. (2013) · European Eating Disorders Review · doi:10.1002/erv.2273 · Cited by 327 · see citing works
Self-citationReliability of the Actigraph GT3X+ Accelerometer in Adults under Free-Living Conditions
Aadland, E., & Ylvisåker, E. (2015) · PLoS ONE · doi:10.1371/journal.pone.0134606 · Cited by 309 · see citing works
Loss of Control Over Eating Predicts Outcomes in Bariatric Surgery Patients
White, M. A., Kalarchian, M. A., Masheb, R. M., Marcus, M. D., & Grilo, C. M. (2009) · The Journal of Clinical Psychiatry · doi:10.4088/jcp.08m04328blu · Cited by 306 · see citing works
Kleiman, S. C., Watson, H. J., Bulik-Sullivan, E. C., Huh, E. Y., Tarantino, L. M., Bulik, C. M., & Carroll, I. M. (2015) · Psychosomatic Medicine · doi:10.1097/psy.0000000000000247 · Cited by 303 · see citing works
Self-citationExercise Attenuates PCB-Induced Changes in the Mouse Gut Microbiome
Choi, J. J., Eum, S. Y., Rampersaud, E., Daunert, S., Abreu, M. T., & Toborek, M. (2013) · Environmental Health Perspectives · doi:10.1289/ehp.1306534 · Cited by 298 · see citing works
Exercise induction of gut microbiota modifications in obese, non-obese and hypertensive rats
Petriz, B. A., Castro, A. P., Almeida, J. A., Gomes, C. P., Fernandes, G. R., Kruger, R. H., Pereira, R. W., & Franco, O. L. (2014) · BMC Genomics · doi:10.1186/1471-2164-15-511 · Cited by 293 · see citing works
Carroll, I. M., Ringel-Kulka, T., Keku, T. O., Chang, Y.-H., Packey, C. D., Sartor, R. B., & Ringel, Y. (2011) · American Journal of Physiology-Gastrointestinal and Liver Physiology · doi:10.1152/ajpgi.00154.2011 · Cited by 292 · see citing works
Self-citationAltered colonic function and microbiota profile in a mouse model of chronic depression
Park, A. J., Collins, J., Blennerhassett, P. A., Ghia, J., Verdu, E. F., Berčík, P., & Collins, S. M. (2013) · Neurogastroenterology & Motility · doi:10.1111/nmo.12153 · Cited by 291 · see citing works
McCafferty, J., Mühlbauer, M., Gharaibeh, R. Z., Arthur, J. C., Perez-Chanona, E., Sha, W., Jobin, C., & Fodor, A. A. (2013) · The ISME Journal · doi:10.1038/ismej.2013.106 · Cited by 259 · see citing works
Self-citationThe intestinal microbiome, probiotics and prebiotics in neurogastroenterology
Saulnier, D. M., Ringel, Y., Heyman, M. B., Foster, J. A., Bercik, P., Shulman, R. J., Versalovic, J., Verdu, E. F., Dinan, T. G., Hecht, G., et al. (2013) · Gut Microbes · doi:10.4161/gmic.22973 · Cited by 248 · see citing works
Review of long-term weight loss results after laparoscopic sleeve gastrectomy
Diamantis, T., Apostolou, K. G., Alexandrou, A. P., Grınıatsos, J., Felekouras, E. S., & Tsigris, C. (2013) · Surgery for Obesity and Related Diseases · doi:10.1016/j.soard.2013.11.007 · Cited by 236 · see citing works
Relationships between diet-related changes in the gut microbiome and cognitive flexibility
Magnusson, K. R., Hauck, L., Jeffrey, B. M., Elias, V., Humphrey, A., Nath, R., Perrone, A., & Bermudez, L. E. (2015) · Neuroscience · doi:10.1016/j.neuroscience.2015.05.016 · Cited by 225 · see citing works
Kofman, M. D., Lent, M. R., & Swencionis, C. (2010) · Obesity · doi:10.1038/oby.2010.27 · Cited by 216 · see citing works
Collins, S. M., Kassam, Z., & Berčík, P. (2013) · Current Opinion in Microbiology · doi:10.1016/j.mib.2013.06.004 · Cited by 206 · see citing works
Exercise Following Bariatric Surgery: Systematic Review
Livhits, M., Mercado, C., Yermilov, I., Parikh, J. A., Dutson, E., Mehran, A., Ko, C. Y., & Gibbons, M. M. (2010) · Obesity Surgery · doi:10.1007/s11695-010-0096-0 · Cited by 197 · see citing works
Bond, D. S., Phelan, S., Wolfe, L. G., Evans, R. K., Meador, J. G., Kellum, J. M., Maher, J. W., & Wing, R. R. (2008) · Obesity · doi:10.1038/oby.2008.501 · Cited by 189 · see citing works
Self-citationPost-Operative Psychosocial Predictors of Outcome in Bariatric Surgery
Sheets, C., Peat, C. M., Berg, K. C., White, E., Bocchieri-Ricciardi, L. E., Chen, E. Y., & Mitchell, J. (2015) · Obesity Surgery · doi:10.1007/s11695-014-1490-9 · Cited by 185 · see citing works
Self-citationThe gut microbiota manages host metabolism
Cani, P. D. (2013) · Nature Reviews Endocrinology · doi:10.1038/nrendo.2013.240 · Cited by 160 · see citing works
STAUDENMAYER, J. W., He, S., Hickey, A., Sasaki, J. E., & Freedson, P. S. (2015) · Journal of Applied Physiology · doi:10.1152/japplphysiol.00026.2015 · Cited by 142 · see citing works
Shepherd, S. O., Wilson, O. J., Taylor, A. S., Thøgersen‐Ntoumani, C., Adlan, A., Wagenmakers, A. J. M., & Shaw, C. S. (2015) · PLoS ONE · doi:10.1371/journal.pone.0139056 · Cited by 133 · see citing works
White, M. A., Kalarchian, M. A., Levine, M. D., Masheb, R. M., Marcus, M. D., & Grilo, C. M. (2015) · Obesity Surgery · doi:10.1007/s11695-015-1631-9 · Cited by 126 · see citing works
Manderino, L., Carroll, I., Azcarate-Peril, M. A., Rochette, A., Heinberg, L., Peat, C., Steffen, K., Mitchell, J., & Gunstad, J. (2017) · Journal of the International Neuropsychological Society · doi:10.1017/s1355617717000492 · Cited by 125 · see citing works
Self-citationSweeney, T. E., & Morton, J. M. (2014) · Best Practice & Research Clinical Gastroenterology · doi:10.1016/j.bpg.2014.07.016 · Cited by 120 · see citing works
King, W. C., Chen, J., Bond, D. S., Belle, S. H., Courcoulas, A. P., Patterson, E. J., Mitchell, J. E., Inabnet, W. B., Dakin, G. F., Flum, D. R., et al. (2015) · Obesity · doi:10.1002/oby.21106 · Cited by 119 · see citing works
Self-citationWelch, G. W., Wesolowski, C., Piepul, B., Kuhn, J. N., Romanelli, J. R., & Garb, J. (2008) · Obesity Surgery · doi:10.1007/s11695-007-9269-x · Cited by 110 · see citing works
Energy Expenditure and Weight Regain in Patients Submitted to Roux-en-Y Gastric Bypass
Faria, S. L., Kelly, E. D. O., & Faria, O. P. (2009) · Obesity Surgery · doi:10.1007/s11695-009-9842-6 · Cited by 99 · see citing works
Kim, Y., Welk, G. J., Braun, S. I., & Kang, M. (2015) · PLoS ONE · doi:10.1371/journal.pone.0118078 · Cited by 87 · see citing works
The Role of Cognitive Function in Postoperative Weight Loss Outcomes: 36-Month Follow-Up
Spitznagel, M. B., Alosco, M. L., Galioto, R., Strain, G. W., Devlin, M. J., Sysko, R., Crosby, R. D., Mitchell, J. E., & Gunstad, J. (2014) · Obesity Surgery · doi:10.1007/s11695-014-1205-2 · Cited by 77 · see citing works
Self-citationCognitive function predicts 24-month weight loss success after bariatric surgery
Spitznagel, M. B., Alosco, M. L., Strain, G. W., Devlin, M. J., Cohen, R. A., Paul, R. H., Crosby, R. D., Mitchell, J. E., & Gunstad, J. (2013) · Surgery for Obesity and Related Diseases · doi:10.1016/j.soard.2013.04.011 · Cited by 75 · see citing works
Self-citationAdherence and Weight Loss Outcomes in Bariatric Surgery: Does Cognitive Function Play a Role?
Galioto, R., Gunstad, J., Heinberg, L. J., & Spitznagel, M. B. (2013) · Obesity Surgery · doi:10.1007/s11695-013-1060-6 · Cited by 67 · see citing works
Self-citationPrediction of long-term outcome after gastric bypass surgery
Lanyon, R. I., Maxwell, B. M., & Kraft, A. J. (2009) · Obesity Surgery · doi:10.1007/s11695-008-9740-3 · Cited by 47 · see citing works
Gut feelings: A role for the intestinal microbiota in anorexia nervosa?
Kleiman, S. C., Carroll, I. M., Tarantino, L. M., & Bulik, C. M. (2015) · International Journal of Eating Disorders · doi:10.1002/eat.22394 · Cited by 46 · see citing works
Self-citationCan attention to the intestinal microbiota improve understanding and treatment of anorexia nervosa?
Carr, J. S., Kleiman, S. C., Bulik, C. M., Bulik‐Sullivan, E. C., & Carroll, I. M. (2016) · Expert Review of Gastroenterology & Hepatology · doi:10.1586/17474124.2016.1166953 · Cited by 39 · see citing works
Self-citationModerate Physical Activity as Predictor of Weight Loss After Bariatric Surgery
Mundi, M. S., Lorentz, P. A., Swain, J. M., Grothe, K. B., & Collazo–Clavell, M. L. (2013) · Obesity Surgery · doi:10.1007/s11695-013-0979-y · Cited by 33 · see citing works
Kaakoush, N. O., Martire, S. I., Raipuria, M., Mitchell, H. M., Nielsen, S. J., Westbrook, R. F., & Morris, M. J. (2016) · Molecular Nutrition & Food Research · doi:10.1002/mnfr.201500815 · Cited by 32 · see citing works
Lambert, B. S., Shimkus, K. L., Fluckey, J. D., Riechman, S. E., Greene, N. P., Cardin, J. M., & Crouse, S. F. (2014) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.00689.2013 · Cited by 27 · see citing works
Flagged first, then by citations
Research works printed but not linked: 2
- [22]First MB, Spitzer RL, Gibbon M, Williams JB. Structured Clinical Interview for DSM-IV-TR Axis I Disorders, Research Version, Patient Edition. (SCID-I/P). Research Version ed. New York:: Biometrics Research, New York State Psychiatric Institue 11 2002.
- [51]Mplus Users’ Guide. Sixth Edition. [computer program]. Los Angeles, CA: Muthen & Muthen 1998-2011.
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El Ansari, W., & Elhag, W. (2021) · Obesity Surgery · doi:10.1007/s11695-020-05160-5 · Cited by 482 · see citing works
- Authors
- Heinberg, L. J., Bond, D. S., Carroll, I., Crosby, R., Fodor, A., Fouladi, F., Gunstad, J., Mitchell, J., Peat, C., & Steffen, K.
- Affiliations
- Cleveland Clinic Lerner College of Medicine (US)
- Brown University (US)
- University of North Carolina at Chapel Hill (US)
- University of North Dakota (US)
- University of North Carolina at Charlotte (US)
- Kent State University (US)
- Corresponding author
- Heinberg, Leslie J.
- ORCID
- Venue
- Surgery for Obesity and Related Diseases
- Publisher
- Elsevier BV
- Published
- 2020-11
- Volume
- 16
- Issue
- 11
- Pages
- 1816-1826
- ISSN
- 1550-7289 (ISSN-L)
- PMC
- PMC7606343
- OpenAlex
- W3036116971
- Cited by
- 43
- References
- 70
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 14 · 2023: 12 · 2022: 3 · 2021: 4 · 2020: 1
- FWCI
- 4.57
- Type
- journal article
- Language
- en
- Open access
- green
- europepmc.org
- Locations
- Surgery for Obesity and Related Diseases (publishedVersion)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- Carolina Digital Repository (University of North Carolina at Chapel Hill) (submittedVersion)
- UNC Libraries
- Funders
- National Institutes of Health
- Topics
- Health Sciences › Medicine › Surgery › Bariatric Surgery and Outcomes
- Health Sciences › Health Professions › Pharmacy › Obesity and Health Practices
- Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Obesity, Physical Activity, Diet
- Keywords
- bariatric surgery, Roux-en-Y gastric bypass
- MeSH terms
- Body-Weight Trajectory, Gastrectomy, Humans, Longitudinal Studies, Obesity, Morbid, Prospective Studies, Gastric Bypass, Bariatric Surgery
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