Mathematical model for the contribution of individual organs to non-zero y-intercepts in single and multi-compartment linear models of whole-body energy expenditure

PLoS ONE

Volumn 9, Issue 7, 2014, Pages

  Kaiyala, Karl J ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALLOMETRY; ARTICLE; BODY COMPOSITION; BODY MASS; BODY SIZE; ENERGY EXPENDITURE; FAT FREE MASS; FAT MASS; LINEAR REGRESSION ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; MULTICOMPARTMENT LINEAR MODEL; NONZERO Y INTERCEPT; ORGAN; RESTING ENERGY EXPENDITURE; SINGLE COMPARTMENT LINEAR MODEL; STATISTICAL MODEL; ALGORITHM; BIOLOGICAL MODEL; BODY WEIGHT; ENERGY METABOLISM; HUMAN; MONTE CARLO METHOD; ORGAN SIZE; PHYSIOLOGY;

ALGORITHMS; BODY MASS INDEX; BODY WEIGHT; ENERGY METABOLISM; HUMANS; LINEAR MODELS; MODELS, BIOLOGICAL; MONTE CARLO METHOD; ORGAN SIZE;

EID: 84904906559     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0103301     Document Type: Article

References (81)

1. Kaiyala KJ, Morton GJ, Thaler JP, Meek TH, Tylee T, et al. (2012) Acutely decreased thermoregulatory energy expenditure or decreased activity energy expenditure both acutely reduce food intake in mice. PLoS ONE 7: e41473.
2. Choi SJ, Yablonka-Reuveni Z, Kaiyala KJ, Ogimoto K, Schwartz MW, et al. (2011) Increased energy expenditure and leptin sensitivity account for low fat mass in myostatin-deficient mice. Am J Physiol Endocrinol Metab 300: E1031-1037.
3. Levine JA, Eberhardt NL, Jensen MD (1999) Role of nonexercise activity thermogenesis in resistance to fat gain in humans. Science 283: 212-214.
4. Novak CM, Zhang M, Levine JA (2006) Neuromedin U in the paraventricular and arcuate hypothalamic nuclei increases non-exercise activity thermogenesis. J Neuroendocrinol 18: 594-601.
5. Spiegelman BM, Flier JS (2001) Obesity and the regulation of energy balance. Cell 104: 531-543. (Pubitemid 32201948)
6. Wu J, Cohen P, Spiegelman BM (2013) Adaptive thermogenesis in adipocytes: is beige the new brown? Genes Dev 27: 234-250.
7. Kaiyala KJ, Morton GJ, Leroux BG, Ogimoto K, Wisse B, et al. (2010) Identification of body fat mass as a major determinant of metabolic rate in mice. Diabetes 59: 1657-1666.
8. Kaiyala KJ, Schwartz MW (2011) Toward a more complete (and less controversial) understanding of energy expenditure and its role in obesity pathogenesis. Diabetes 60: 17-23.
9. Heymsfield SB, Thomas D, Bosy-Westphal A, Shen W, Peterson CM, et al. (2012) Evolving concepts on adjusting human resting energy expenditure measurements for body size. Obes Rev 13: 1001-1014.
10. Speakman JR, Fletcher Q, Vaanholt L (2013) The '39 steps': an algorithm for performing statistical analysis of data on energy intake and expenditure. Dis Model Mech 6: 293-301.
11. Tschop MH, Speakman JR, Arch JR, Auwerx J, Bruning JC, et al. (2012) A guide to analysis of mouse energy metabolism. Nat Methods 9: 57-63.
12. Arch JR, Hislop D, Wang SJ, Speakman JR (2006) Some mathematical and technical issues in the measurement and interpretation of open-circuit indirect calorimetry in small animals. Int J Obes (Lond) 30: 1322-1331. (Pubitemid 44306513)
13. Tanner JM (1949) Fallacy of per-weight and per-surface area standards, and their relation to spurious correlation. J Appl Physiol 2: 1-15.
14. Kronmal RA (1992) Spurious correlation and the fallacy of the ratio standard revisited. J Roy Stat Soc A 156 (part 3): 379-392.
15. Allison DB, Paultre F, Goran MI, Poehlman ET, Heymsfield SB (1995) Statistical considerations regarding the use of ratios to adjust data. Int J Obes Relat Metab Disord 19: 644-652.
16. Poehlman ET, Toth MJ (1995) Mathematical ratios lead to spurious conclusions regarding age- and sex-related differences in resting metabolic rate. Am J Clin Nutr 61: 482-485.
17. Katch V (1972) Correlational vs. ratio adjustments of body weight in exercise-oxygen studies. Ergonomics 15: 671-680.
18. Katch VL (1973) Use of the oxygen-body weight ratio in correlational analyses: spurious correlations and statistical considerations. Med Sci Sports 5: 253-257.
19. Gallagher D, Belmonte D, Deurenberg P, Wang Z, Krasnow N, et al. (1998) Organ-tissue mass measurement allows modeling of REE and metabolically active tissue mass. Am J Physiol 275: E249-258.
20. Bosy-Westphal A, Braun W, Schautz B, Muller MJ (2013) Issues in characterizing resting energy expenditure in obesity and after weight loss. Front Physiol 4: 47.
21. Bosy-Westphal A, Schautz B, Lagerpusch M, Pourhassan M, Braun W, et al. (2013) Effect of weight loss and regain on adipose tissue distribution, composition of lean mass and resting energy expenditure in young overweight and obese adults. Int J Obes (Lond) 37: 1371-1377.
22. Rubner M (1883) Uber den einfluss der korpergrosse auf stoff- un kraftwechsel. Z Fur Biol 19: 535-562.
23. Kleiber M (1947) Body size and metabolic rate. Physiol Rev 27: 511-541.
24. West GB, Brown JH, Enquist BJ (1997) A general model for the origin of allometric scaling laws in biology. Science 276: 122-126. (Pubitemid 27161259)
25. White CR, Seymour RS (2005) Allometric scaling of mammalian metabolism. J Exp Biol 208: 1611-1619. (Pubitemid 40697609)
26. Glazier DS (2005) Beyond the '3/4-power law': variation in the intra- and interspecific scaling of metabolic rate in animals. Biol Rev Camb Philos Soc 80: 611-662.
27. Wang Z, O'Connor TP, Heshka S, Heymsfield SB (2001) The reconstruction of Kleiber's law at the organ-tissue level. J Nutr 131: 2967-2970. (Pubitemid 33063132)
28. Wang Z, Zhang J, Ying Z, Heymsfield SB (2012) Organ-Tissue Level Model of Resting Energy Expenditure Across Mammals: New Insights into Kleiber's Law. ISRN Zoology 2012: 1-9.
29. Kaiyala KJ (2014) What Does Indirect Calorimetry Really Tell Us? Molectular Metabolism.
30. Tanner JM (1952) The assessment of growth and development in children. Arch Dis Child 27: 10-33.
31. Hayes JP, Shonkwiler JS (2006) Allometry, antilog transformations, and the perils of prediction on the original scale. Physiol Biochem Zool 79: 665-674. (Pubitemid 43846280)
32. Kleiber M (1975) The fire of life-an introduction to animal energetics. Robert E. Krieger Publishing Co., Inc., NY, NY.
33. White CR, Seymour RS (2003) Mammalian basal metabolic rate is proportional to body mass2/3. Proc Natl Acad Sci U S A 100: 4046-4049. (Pubitemid 36418154)
34. White CR, Blackburn TM, Seymour RS (2009) Phylogenetically informed analysis of the allometry of Mammalian Basal metabolic rate supports neither geometric nor quarter-power scaling. Evolution 63: 2658-2667.
35. Heusner AA (1982) Energy metabolism and body size. I. Is the 0.75 mass exponent of Kleiber's equation a statistical artifact? Respir Physiol 48: 1-12.
36. Nagy KA (2005) Field metabolic rate and body size. J Exp Biol 208: 1621-1625.
37. Heusner AA (1985) Body size and energy metabolism. Annu Rev Nutr 5: 267-293.
38. White CR (2011) Allometric estimation of metabolic rates in animals. Comp Biochem Physiol A Mol Integr Physiol 158: 346-357.
39. White CR, Seymour RS (2004) Does basal metabolic rate contain a useful signal? Mammalian BMR allometry and correlations with a selection of physiological, ecological, and life-history variables. Physiol Biochem Zool 77: 929-941. (Pubitemid 40241039)
40. Gillooly JF, Brown JH, West GB, Savage VM, Charnov EL (2001) Effects of size and temperature on metabolic rate. Science 293: 2248-2251. (Pubitemid 32900233)
41. Darveau CA, Suarez RK, Andrews RD, Hochachka PW (2002) Allometric cascade as a unifying principle of body mass effects on metabolism. Nature 417: 166-170. (Pubitemid 34506795)
42. Hochachka PW, Darveau CA, Andrews RD, Suarez RK (2003) Allometric cascade: a model for resolving body mass effects on metabolism. Comp Biochem Physiol A Mol Integr Physiol 134: 675-691. (Pubitemid 36693898)
43. Clarke A, Rothery P, Isaac NJ (2010) Scaling of basal metabolic rate with body mass and temperature in mammals. J Anim Ecol 79: 610-619.
44. Sieg AE, O'Connor MP, McNair JN, Grant BW, Agosta SJ, et al. (2009) Mammalian metabolic allometry: do intraspecific variation, phylogeny, and regression models matter? Am Nat 174: 720-733.
45. Heusner AA (1991) Body mass, maintenance and basal metabolism in dogs. J Nutr 121: S8-17.
46. Butte NF, Puyau MR, Vohra FA, Adolph AL, Mehta NR, et al. (2007) Body size, body composition, and metabolic profile explain higher energy expenditure in overweight children. J Nutr 137: 2660-2667. (Pubitemid 350255294)
47. Zakeri I, Puyau MR, Adolph AL, Vohra FA, Butte NF (2006) Normalization of energy expenditure data for differences in body mass or composition in children and adolescents. J Nutr 136: 1371-1376.
48. Heil DP (1997) Body mass scaling of peak oxygen uptake in 20- to 79-yr-old adults. Med Sci Sports Exerc 29: 1602-1608.
49. Weibel ER, Hoppeler H (2005) Exercise-induced maximal metabolic rate scales with muscle aerobic capacity. J Exp Biol 208: 1635-1644. (Pubitemid 40697612)
50. Bishop CM (1999) The maximum oxygen consumption and aerobic scope of birds and mammals: getting to the heart of the matter. Proc Biol Sci 266: 2275-2281.
51. Dobeln WV (1957) Maximal oxygen intake, body size and total hemoglobin in normal man. Acta Physiol Scand 38: 193-199.
52. Wang Z, Heshka S, Gallagher D, Boozer CN, Kotler DP, et al. (2000) Resting energy expenditure-fat-free mass relationship: new insights provided by body composition modeling. Am J Physiol Endocrinol Metab 279: E539-545.
53. Nise NS (2004) Control Systems Engineering. John Wiley & Sons, Inc.
54. Holliday MA, Potter D, Jarrah A, Bearg S (1967) The relation of metabolic rate to body weight and organ size. Pediatr Res 1: 185-195.
55. Muller MJ, Langemann D, Gehrke I, Later W, Heller M, et al. (2011) Effect of constitution on mass of individual organs and their association with metabolic rate in humans-a detailed view on allometric scaling. PLoS ONE 6: e22732.
56. Fuite J, Marsh RE, Tuszynski JA (2006) An application of Prony's sum of exponentials method to pharmacokinetic data analysis. Communications in Computational Physics 2: 87-98.
57. Javed F, He Q, Davidson LE, Thornton JC, Albu J, et al. (2010) Brain and high metabolic rate organ mass: contributions to resting energy expenditure beyond fat-free mass. Am J Clin Nutr 91: 907-912.
58. Wang Z, Ying Z, Bosy-Westphal A, Zhang J, Schautz B, et al. (2010) Specific metabolic rates of major organs and tissues across adulthood: evaluation by mechanistic model of resting energy expenditure. Am J Clin Nutr 92: 1369-1377.
59. Wang Z, Ying Z, Bosy-Westphal A, Zhang J, Heller M, et al. (2011) Evaluation of specific metabolic rates of major organs and tissues: comparison between men and women. Am J Hum Biol 23: 333-338.
60. Wang Z, Ying Z, Bosy-Westphal A, Zhang J, Heller M, et al. (2012) Evaluation of specific metabolic rates of major organs and tissues: comparison between nonobese and obese women. Obesity (Silver Spring) 20: 95-100.
61. Later W, Bosy-Westphal A, Hitze B, Kossel E, Gluer CC, et al. (2008) No evidence of mass dependency of specific organ metabolic rate in healthy humans. Am J Clin Nutr 88: 1004-1009.
62. Hsu A, Heshka S, Janumala I, Song MY, Horlick M, et al. (2003) Larger mass of high-metabolic-rate organs does not explain higher resting energy expenditure in children. Am J Clin Nutr 77: 1506-1511. (Pubitemid 39655287)
63. Gallagher D, Allen A, Wang Z, Heymsfield SB, Krasnow N (2000) Smaller organ tissue mass in the elderly fails to explain lower resting metabolic rate. Ann N Y Acad Sci 904: 449-455. (Pubitemid 30389236)
64. Ravussin E, Lillioja S, Anderson TE, Christin L, Bogardus C (1986) Determinants of 24-hour energy expenditure in man. Methods and results using a respiratory chamber. J Clin Invest 78: 1568-1578. (Pubitemid 17219520)
65. Weinsier RL, Schutz Y, Bracco D (1992) Reexamination of the relationship of resting metabolic rate to fat-free mass and to the metabolically active components of fat-free mass in humans. Am J Clin Nutr 55: 790-794.
66. Nelson KM, Weinsier RL, Long CL, Schutz Y (1992) Prediction of resting energy expenditure from fat-free mass and fat mass. Am J Clin Nutr 56: 848-856.
67. Bitz C, Toubro S, Larsen TM, Harder H, Rennie KL, et al. (2004) Increased 24-h energy expenditure in type 2 diabetes. Diabetes Care 27: 2416-2421. (Pubitemid 39281395)
68. Makimattila S, Nikkila K, Yki-Jarvinen H (1999) Causes of weight gain during insulin therapy with and without metformin in patients with Type II diabetes mellitus. Diabetologia 42: 406-412. (Pubitemid 29148398)
69. Bogardus C, Taskinen MR, Zawadzki J, Lillioja S, Mott D, et al. (1986) Increased resting metabolic rates in obese subjects with non-insulin-dependent diabetes mellitus and the effect of sulfonylurea therapy. Diabetes 35: 1-5. (Pubitemid 16162819)
70. Fontvieille AM, Lillioja S, Ferraro RT, Schulz LO, Rising R, et al. (1992) Twenty-four-hour energy expenditure in Pima Indians with type 2 (non-insulin-dependent) diabetes mellitus. Diabetologia 35: 753-759.
71. Weyer C, Bogardus C, Pratley RE (1999) Metabolic factors contributing to increased resting metabolic rate and decreased insulin-induced thermogenesis during the development of type 2 diabetes. Diabetes 48: 1607-1614. (Pubitemid 29356870)
72. Franssila-Kallunki A, Groop L (1992) Factors associated with basal metabolic rate in patients with type 2 (non-insulin-dependent) diabetes mellitus. Diabetologia 35: 962-966.
73. Selman C, Lumsden S, Bunger L, Hill WG, Speakman JR (2001) Resting metabolic rate and morphology in mice (Mus musculus) selected for high and low food intake. J Exp Biol 204: 777-784. (Pubitemid 34861178)
74. White CR (2003) Allometric analysis beyond heterogeneous regression slopes: use of the Johnson-Neyman technique in comparative biology. Physiol Biochem Zool 76: 135-140.
75. Rosenbaum M, Goldsmith R, Bloomfield D, Magnano A, Weimer L, et al. (2005) Low-dose leptin reverses skeletal muscle, autonomic, and neuroendocrine adaptations to maintenance of reduced weight. J Clin Invest 115: 3579-3586. (Pubitemid 43121846)
76. Butler AA, Kozak LP (2010) A recurring problem with the analysis of energy expenditure in genetic models expressing lean and obese phenotypes. Diabetes 59: 323-329.
77. Keesey RE, Corbett SW (1990) Adjustments in daily energy expenditure to caloric restriction and weight loss by adult obese and lean Zucker rats. Int J Obes 14: 1079-1084.
78. Kaitaniemi P (2008) How to Derive Biological Information from the Value of the Normalization Constant in Allometric Equations. PLoS ONE 3: e1932.
79. Dobeln W (1956) Human standard and maximal metabolic rate in relation to fat-free body mass. Acta Physiol Scand (Suppl. 126): 1-79.
80. Breslow MJ, Min-Lee K, Brown DR, Chacko VP, Palmer D, et al. (1999) Effect of leptin deficiency on metabolic rate in ob/ob mice. Am J Physiol 276: E443-449. (Pubitemid 29157397)
81. Lighton JRB (2008) Measuring Metabolic Rates: A Manual for Scientists. New York, NY, Oxford Univ. Press.