A dynamical model for describing behavioural interventions for weight loss and body composition change

References

• Keim , N.L. , Blanton , C.A. and Kretsch , M.J. 2004 . America's obesity epidemic: Measuring physical activity to promote an active lifestyle . J. Am. Diet. Assoc. , 104 ( 9 ) : 1398 – 1409 .
   Google Scholar
• Mokdad , A.H. , Bowman , B.A. , Ford , E.S. , Vinicor , F. , Marks , J.S. and Koplan , J.P. 2001 . The continuing epidemics of obesity and diabetes in the United States . JAMA. , 286 ( 10 ) : 1195 – 1200 .
   PubMed Web of Science ®Google Scholar
• WHO, Diet and physical activity: A public health priority, Tech. Rep. WHO, 2008. http://www.who.int/dietphysicalactivity/en/ (http://www.who.int/dietphysicalactivity/en/) (Accessed: 23 December 2009 ).
   Google Scholar
• Baranowski , T. , Cullen , K. , Nicklas , T. , Thompson , D. and Baranowski , J. 2003 . Are current health behavioral change models helpful in guiding prevention of weight gain efforts? . Obes. Res. , 11 : 23S – 43S .
   PubMedGoogle Scholar
• Hall , K. and Jordan , P. 2008 . Modeling weight-loss maintenance to help prevent body weight regain . Am. J. Clin. Nutr. , 88 : 1495 – 1503 .
   PubMed Web of Science ®Google Scholar
• Rivera , D.E. , Pew , M.D. and Collins , L.M. 2007 . Using engineering control principles to inform the design of adaptive interventions: A conceptual introduction . Drug Alcohol Depend. , S31 : S31 – S40 .
   Google Scholar
• Ajzen , I. and Madden , T. 1986 . Prediction of goal-directed behavior: attitudes, intentions, and perceived behavioral control . J. Exp. Soc. Psychol. , 22 : 453 – 474 .
   Web of Science ®Google Scholar
• Garrow , J. 1978 . Energy Balance and Obesity in Man , Amsterdam : Elsevier/North-Holland Biomedical Press .
   Google Scholar
• Garrow , J. 1987 . Energy balance in man - an overview . Am. J. Clin. Nutr. , 45 : 1114 – 1119 .
   PubMed Web of Science ®Google Scholar
• Westerterp , K. , Donkers , J. , Fredrix , E. and Boekhoudt , P. 1995 . Energy intake, physical activity and body weight: A simulation model . Br. J. Nutr. , 73 : 337 – 347 .
   PubMed Web of Science ®Google Scholar
• McArdle , W. , Katch , F. and Katch , V. 1996 . Exercise Physiology: Energy, Nutrition, and Human Performance , Baltimore, MD : Williams & Wilkins .
   Google Scholar
• Abdel-Hamid , T. 2002 . Modeling the dynamics of human energy regulation and its implications for obesity treatment . Syst. Dyn. Rev. , 18 ( 4 ) : 431 – 471 .
   Web of Science ®Google Scholar
• Hall , K.D. 2006 . Computational model of in vivo human energy metabolism during semistarvation and refeeding . Am. J. Physiol. Endocrinol. Metab. , 291 : E23 – E37 .
   Google Scholar
• Chow , C.C. and Hall , K.D. 2008 . The dynamics of human body weight change . PLoS Comput. Biol. , 4 ( 3 ) : 1 – 13 .
   Google Scholar
• Thomas , D.M. , Ciesla , A. , Levine , J.A. , Stevens , J.G. and Martin , C.K. 2009 . A mathematical model of weight change with adaptation . Math. Biosci. Eng. , 6 : 837 – 887 .
   Google Scholar
• Thomas , D.M. , Martin , C.K. , Heymsfield , S. , Redman , L.M. , Schoeller , D. and Levine , J. 2010 . A simple model predicting individual weight change in humans . J. Biol. Dyn. , (in press)
   Google Scholar
• Hall , K. 2010 . Mechanisms of metabolic fuel selection: Modeling human metabolism and dody-weight change . IEEE Eng. Med. Biol. Mag. , 29 Jan–Feb : 36 – 41 .
   Google Scholar
• Hall , K. 2010 . Predicting metabolic adaptation, body weight change, and energy intake in humans . Am. J. Physiol. Endocrinol. Metab. , 298 ( 3 ) : E449 – E466 .
   Google Scholar
• Keys , A. , Brozek , J. , Henschel , A. , Mickelsen , O. and Taylor , H.L. 1950 . The Biology of Human Starvation , Vol. 1, 2 , Minneapolis, MN : University of Minnesota .
   Google Scholar
• Consultation , F.E. October 2001 . Human energy requirements , October , Rome : Food and Nutrition Technical Report Series 1, FAO .
   Google Scholar
• Trumbo , P. , Schlicker , S. , Yates , A. and M , P. 2002 . Dietary reference intakes for energy, carbohydrate, fiber, fat, fatty acids, cholesterol, protein and amino acids . J. Am. Diet. Assoc. , 102 ( 11 ) : 1621 – 1630 .
   PubMed Web of Science ®Google Scholar
• Merrill , A. and Watt , B. 1973 . Energy Value of Foods–Basis and Derivation. Volume 74: Agriculture Handbook , Washington, D.C. : U.S. Department of Agriculture .
   Google Scholar
• Whitney , E.N. and Rolfes , S.R. 1999 . Understanding Nutrition , Bemont, CA : West/Wadsworth .
   Google Scholar
• Dugdale , A. and Payne , P. 1977 . Pattern of lean and fat deposition in adults . Nature , 266 : 349 – 351 .
   PubMed Web of Science ®Google Scholar
• Hall , K.D. 2007 . Body fat and fat-free mass inter-relationships: Forbes' theory revisited . Br. J. Nutr. , 97 ( 6 ) : 1059 – 1063 .
   PubMed Web of Science ®Google Scholar
• Forbes , G.B. 1987 . Lean body mass-body fat interrelationships in humans . Nutr. Rev. , 45 : 225 – 231 .
   PubMed Web of Science ®Google Scholar
• Jackson , A.S. , Stanforth , P.R. , Gagnon , J. , Rankinen , T. , Leon , A. , Rao , D.C. , Skinner , J.S. , Bouchard , C. and Wilmore , J.H. 2002 . The effect of sex, age and race on estimating percentage body fat from body mass index: The heritage family study . Int. J. Obes. Relat. Metab. Disord. , 26 : 789 – 796 .
   PubMed Web of Science ®Google Scholar
• Silva , A.M. , Wang , J. , Pierson , R.N. Jr. , Wang , Z. , Spivack , J. , Allison , D.B. , Heymsfield , S.B. , Sardinha , L.B. and Heshka , and S. 2007 . Extracellular water across the adult lifespan: Reference values for adults . Physiol. Meas. , 28 : 489 – 502 .
   PubMed Web of Science ®Google Scholar
• Antonetti , V.W. 1973 . The equations governing weight change in human beings . Am. J. Clin. Nutr. , 26 : 64 – 71 .
   PubMed Web of Science ®Google Scholar
• J.E. Navarro-Barrientos and D.E. Rivera, A dynamical systems model for weight change behavioral interventions, Tech. Rep., Control Systems Engineering Laboratory, Arizona State University, Temple, AZ, 2010. CSEL Technical Progress Report 2010–01 http://csel.asu.edu/downloads/Publications/techreport/CSELtechreport2010-01.pdf (http://csel.asu.edu/downloads/Publications/techreport/CSELtechreport2010-01.pdf)
   Google Scholar
• Fishbein , M. and Ajzen , I. 1975 . Belief, Attitude, Intention and Behavior: An Introduction to Theory and Research , Reading, MA : Addison-Wesley .
   Google Scholar
• Blanchard , C.M. , Fisher , J. , Sparling , P.B. , Shanks , T.H. , Nehl , E. , Rhodes , R.E. , Courneya , K.S. and Baker , F. 2009 . Understanding adherence to 5 serving of fruits and vegetables per day: A theory of planned behavior perspective . J. Nutr. Educ. Behav. , 41 ( 1 ) : 3 – 10 .
   PubMed Web of Science ®Google Scholar
• Godin , G. , Valois , P. and Lepage , L. 1993 . The pattern of influence of perceived behavioral control upon exercising behavior: An application of ajzen's theory of planned behavior . J. Behav. Med. , 16 ( 1 ) : 81 – 102 .
   PubMed Web of Science ®Google Scholar
• Norman , P. , Conner , M. and Bell , R. 2000 . The theory of planned behaviour and exercise: Evidence for the moderating role of past behaviour . Br. J. Health Psychol. , 5 : 249 – 261 .
   Web of Science ®Google Scholar
• Symons Downs , D. and Hausenblas , H.A. 2005 . The theories of reasoned action and planned behavior applied to exercise: A meta-analytic update . J. Phys. Act. Health. , 2 : 76 – 97 .
   Google Scholar
• Bollen , K.A. 1989 . Structural Equations with Latent Variables. Series in Probability and Mathematical Statistics , New York : Wiley .
   Google Scholar
• Raykov , T. and Marcoulides , G.A. 2006 . A First Course in Structural Equation Modeling , 2nd , Mahwah, NJ : Erlbaum .
   Google Scholar
• Schwartz , J.D. , Wang , W. and Rivera , D.E. 2006 . Optimal tuning of process control-based decision policies for inventory management in supply chains . Automatica. , 42 : 1311 – 1320 .
   Web of Science ®Google Scholar
• Ljung , L. 1999 . System Identification: Theory for the User , Prentice Hall, NJ : Prentice Hall Information and System Sciences Series .
   Google Scholar
• Ramsay , J. and Silverman , B. 2005 . Functional Data Analysis , New York : Springer .
   Google Scholar