Published Research

  1. Thomas DM, Weedermann M, Fuemmeler BF, Martin CK, Dhurandhar NV, Carl Bredlau C, Heymsfield SB, Eric Ravussin E, Bouchard C. Dynamic Model Predicting Overweight, Obesity, and Extreme Obesity Prevalence Trends. in press. Obesity 2013.
  2. Thomas D, Martin C, Lettieri S, Bredlau C, Kaiser K, Church T, Bouchard C, Heymsfield S., Can a Weight Loss of One Pound a Week be Achieved With a 3,500 kcal Deficit? Commentary on a Commonly Accepted Rule. Int. J. Obes., 2013 Apr 8. doi: 10.1038/ijo.2013.51.
  3. Thomas D. Modelling in clinical nutrition - does it add to patient care? Eur J Clin Nutr. 2013 Feb 13. doi: 10.1038/ejcn.2013.16.
  4. Thomas D, Bredlau C, Bosy-Westphal A, Muller M, Gallagher D, Shen W, Maeda Y, McDougall A, Peterson C, Ravussin E, Heymsfield S. Relationships between body roundness with body fat and visceral adipose tissue emerging from a new geometrical model. Obesity 2013 Mar 21. doi: 10.1002/oby.20408.
  5. Archer E, Shook RP, Thomas DM, Church TS, Katzmarzyk PT, James R. Hébert JR, McIver KL, Hand GA, Lavie CJ, Blair SN. 45-Year Trends in Women's Use of Time and Household Management Energy Expenditure, PLoS One. 2013;8(2):e56620. doi: 10.1371
  6. Casazza K, Fontaine KR, Astrup A, Birch LL, Brown AW, Bohan Brown MM, Durant N, Dutton G, Foster ME, Heymsfield SB, McIver K, Mehta, T, Menachemi N, Newby, PK, Pate R, Rolls BJ, Sen B, Smith DL, Thomas DM, Allison DB, Myths, Presumptions, and Facts about Obesity, NEJM 368;5 pp446-454 , January 31, 2013.
  7. Heymsfield SB, Thomas D, Bosy-Westphal A, Shen W, Peterson CM, Müller MJ. Evolving concepts on adjusting human resting energy expenditure measurements for body size. Obes Rev. 2012 Aug 2. doi: 10.1111/j.1467-789X.2012.01019.x.
  8. Thomas DM, Bouchard C, Church T, Slentz C, Kraus WE, Redman LM, Martin CK,Silva AM,Vossen M,Westerterp K, Heymsfield SB.Why do individuals not lose more weight from an aerobic exercise intervention at a defined dose? An energy balance analysis. Obes Rev. 2012 Jun 11. doi: 10.1111/j.1467-789X.2012.01012.x.
  9. Dong Y, Rivera DE, Thomas D, Navarro-Barrientos JE, Downs D, Savage J, Collins LM, A Dynamical Systems Model for Gestational Weight Gain Behavioral Interventions, Proceedings of the American Conference on Montréal, Canada, June 27-29, 2012, pp. 4059-4064.
  10. Heymsfield SB, Müller MJ, Bosy-Westphal A, Thomas D, Shen W, Human Brain Mass: Similar Body Composition Associations as Observed Across Mammals, to appear, American Journal of Human Biology, Am J Hum Biol. 2012 Jul-Aug; 24(4):479-85. doi: 10.1002/ajhb.22249. Epub 2012 Feb 23.
  11. Heymsfield, SB, Thomas DM, Martin CK, Redman L, Strauss B, Bosy-Westphal A, Müller MJ, Shen W, Ngyuen AM, Energy Content of Weight Loss: Kinetic Features During Voluntary Caloric Restriction, Metabolism, 2012 Jul;61(7):937-43. Epub 2012 Jan 16.
  12. Thomas DM, Navarro-Barrientos JE, Rivera DE, Heymsfield SB, Bredlau C, Redman LM, Martin CK, Lederman SA, Collins L, Butte NF, A dynamic energy balance model predicting gestational weight gain, Am J Clin Nutr 95: 1 115-122, 2012.
  13. Baracos V, Caserotti P, Earthman CP, Fields D, Gallagher D, Hall K, Heymsfield SB, Müller MJ, Napolitano A, Pichard C, Redman LM, Shen W, Shephard JA, Thomas D. Advances in the Science and Application of Body Composition Measurement. J Parenter Enteral Nutr. 2012 Jan;36(1):96-107. 
  14. Church TS, Thomas DM, Tudor-Locke C, Katzmarzyk, PT, Earnest CP, Rodarte RQ, Martin CK, Blair, SN, Bouchard C, Trends Over 5 Decades in U.S. Occupation- Related Physical Activity and their Associations with Obesity, PLoS ONE 6, 1-7. 2011.
  15. Heymsfield S.B., Thomas, D.M., Ngyuen, A.M., Peng J.Z., Martin C.K., Shen W. Strauss BJ, Bosy-Westphal A., Muller M., Voluntary weight loss: systematic review of early phase body composition changes. Obes Rev. 2011 May;12(5):e348-61. doi: 10.1111/j.1467-789X.2010.00767.x.
  16. Heymsfield, S.B., Heo, M., Thomas, D. Pietrobelli, A., Scaling of Body Composition to Height: Revelance to Height Normalized Indices, Am. J. Clin. Nutr. 2011 93(4):736-40. Epub 2011 
  17. Thomas, D.M., Martin C.K., Heymsfield S.B., Redman L.M., Schoeller D.A., Levine J.A. A simple model predicting individual weight change in humans, Journal of Biological Dynamics. 1:1-7, Feb. 2011.
  18. Thomas, D., Schoeller, D., Redman, L., Martin, C., Levine, J., Heymsfield, S., A computational model to determine energy intake during weight loss, Am J Clin Nutr. 2010 Dec;92(6):1326-31. Epub 2010 
  19. Thomas, D.M., Das S., Levine J., Martin C.K., Mayer L., McDougall A., Strauss B.J., Heymsfield S.B., 2010 New Fat Free Mass – Fat Mass Model for use in a Physiological Energy Balance Equation Nutrition & Metabolism 2010, 7:39 (9 May 2010).
  20. Thomas, D.M., Ciesla A., Levine J.A., Stevens J.G., Martin C.K.2009. A mathematical model of weight change with adaptation. Math Biosci Eng. 6(4):873-887.
  21. Thomas, D., M. Weedermann, L. Billings, J. Hoffacker, and R. A. Washington-Allen. 2009. When to spray: a time-scale calculus approach to controlling the impact of West Nile virus. Ecology and Society 14(2): 21.
  22. Thomas, D.M., Clapp, J.F., Shernce, S. 2008. A foetal energy balance equation based on maternal exercise and diet Journal of the Royal Society Interfaces, 5(21): 449-455.
  23. Song, B., Thomas, D.M. 2007. Dynamics of Starvation in Humans Journal of Mathematical Biology 54(1):,27-43.
  24. Thomas, D.M., Lidman, L. 2007. Algebraic Dynamics of a One Parameter Class of Maps over Z2. Atlantic Electronic Journal of Mathematics 2(1): 55-63.
  25. Thomas, D.M. and S. Lettieri and J.G. Stevens. 2006. Characteristic and Minimal Polynomials of Linear Cellular Automata. Rocky Mountain Journal of Mathematics. 36(3): 1077-1092
  26. M. Misiurewicz and J.G. Stevens. Thomas, D.M. Feb. 2006. Iterations of Linear Maps over Finite Fields, Linear Algebra and its Applications 413(1): 218-234.
  27. M.A. Jones. Thomas, D.M. Aug. 2005. Nim Induced Dynamical Systems, Discrete and Continuous Dynamical Systems Supplemental Volume, 453 – 462.
  28. Thomas, D.M. and L. Vandemuelebroeke and K. Yamaguchi. May 2005. A Mathematical Evolution Model for Phyto-remediation of Metals. Discrete and Continuous Dynamical Systems Series B, 5(2):411-422.
  29. N. Calkin and J.G. Stevens. Thomas, D.M. and Feb. 2005. A Characterization for the Length of Cycles of the N- Number Ducci Game. Fibonacci Quarterly 43(1):53-59.
  30. Chamberland M. Thomas, D.M. March 2004. Open Conjectures on the Number Ducci Game. Journal of Difference Equations and Applications 10:339-342.
  31. M.A. Jones, B. Song, Thomas, D.M., Nov. 2004. A Mathematical Model for Debriding a Wound, Math and Computer Modelling 40(9-10):1057-64.
  32. Thomas, D.M. and B. Urena. 2001. A Mathematical Model Describing the Evolution of Encephalitis in New York City. Mathematical and Computer Modelling 34:771-781.
  33. Thomas, D.M. and F. Wasserstein-Robbins. 1999. Analysis of a Nonautonomous Nicholson Blowfly Model. Physica A 273(1-2):198-211.
  34. Thomas, D.M. and M.A. Jones. 1999. Mathematical Control of Sleep/Wake Cycles. Proc. 2nd Regional Conference on Quantative Reasoning across the Disciplines.
  35. Thomas, D.M. and T. Hull and M.A. Jones. Nov. 1998. Interviewing for a Job Academia. American Mathematical Society Notices 1353-57.
  36. Thomas, D.M. and T. Snell and S. Jaffar. April 1996. A Control Problem in a Polluted Environment. Mathematical Biosciences 133:139-163.