Abstract
A differential equation model describing the dynamics of stored energy in the form of fat mass, lean body mass and ketone body mass during prolonged starvation is developed. The parameters of the model are estimated using available data for 7 days into starvation. A simulation of energy stores for a normal individual with body mass index between 19 and 24 and an obese individual with body mass index over 30 are calculated. The length of time the obese subject can survive during prolonged starvation is estimated using the model.
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References
Benedict F.G.(1915). A study of prolonged fasting, vol. 203. Carnegie Institute, Washington D.C.
Cahill G.F. Jr.(1970). Starvation in man. N. Engl. J Med. 282, 668-675
Felig P., Owen O.E., Wahren J., Cahill G.F. Jr.(1969). Amino acid metabolism during prolonged starvation. J. Clin. Invest. 48, 584-594
Folger H.(2006). Elements of Chemical Reaction Engineering, 4th edn. Prentice Hall, Englewood Cliffs
Fryburg D.A., Barrett E.J., Louard R.J., Gelfand R.A.(1990). Effect of starvation on human muscle protein metabolism and its response to insulin. Am. J. Physiol. 259, E477-E482
Gilbert G.F.(2000). Basic Concepts in Biochemistry. McGraw-Hill Health Professions Division, New York NY
Gropper S., Smith J., Groff J.(2005). Advanced Nutrition and Human Metabolism. Thomson Wadsworth Pub. Belmont, CA
Hall S.E.H., Wastney M.E., Bolton T.M., Braaten J.T., Berman M.(1984). Ketone body kinetics in humans: the effects of insulin-dependent diabetes. Obesity and starvation. J. Lipid Res. 25, 1184-1194
Harris J.A., Benedict F.G.(1919). A biometric study of basal metabolism in man, vol. 279. Carnegie Institute, Washington D.C.
Hirsch J.(2003). Obesity: matter over mind? Cerebrum 5: 7-18
Hein M., Best L.R., Pattison S., Arena S.(1997). Introduction to general, organic, and biochemistry, 6th edn. Brooks/Cole Pacific, Grove CA
Johnson R.E., Sargent F. II, Passmore R.(1958). Normal variations in total ketone bodies in serum and urine of healthy young men. Q. J. Exp. Physiol. 43, 339-344
Kerndt P.R., Naughton J.L., Driscoll C.E., Loxterkamp D.A.(1982). Fasting: the history, pathophysiology and complications (medical progress). West J. Med. 137, 379-399
Keys A., Brozek J., Henschel A., Michelson O., Longstreet-Taylor H.(1950). The biology of human starvation. University of Minnesota Press, Minneapolis
Klein S., Peters E.J., Holland O.B.,Wolfe R.R.(1989). Effect of short- and long-term β-adrenergic blockade on lipolysis during fasting in humans. Am. J. Physiol. 257, E65-E73
Leonard, W.R.: Food for thought: Dietary change was a driving force in human evolution. Special Issue on Human Evolution, Scientific American, pp. 106–115 (Dec 2003)
Laffel L.(1999). Ketone bodies: a review of physiology, pathophysiology and application of monitoring to diabetes. Diabetes Metab. Res. Rev. 15(6): 412-26
McArdle W.D., Katch F.I., Katch V.L.(2001). Exercise physiology: energy, nutrition, and human performance. Lippincott Williams and Wilkins, Baltimore
Owen O.E., Morgan A.P., Kemp H.G., Sullivan J.M., Herrera M.G., Cahill G.F. Jr.(1967). Brain metabolism during fasting. J. Clin. Invest. 46, 1589-1595
Owen O.E. (2005). Ketone bodies as a fuel for the brain during stavation. Biochem. Mol. Biol. Edu. 33(4): 246-251
Romijn J.A., Godfried M.H., Hommes M.J.T., Endert E., Sauerwein H.P.(1990). Decreased glucose oxidation during short-term starvation. Metabolism 30, 525-530
Staten M.A., Matthews D.E., Cryer P.E., Bier D.M.(1987). Physiological increments in epinephrine stimulate metabolic rate in humans. Am. J. Physiol. 253, E322-E330
Taggart R., Starr C.(1989). Biology: the unity and diversity of life. Wadsworth, Belmont CA USA
Roozalia T., Rising R., Brown D., Lifshitz F.(1998). Comparison of several equations and derivation of a new equation for calculating basal metabolic rate in obese children. J. Amer. Col. Nutr. 4, 333-336
Smith H.L.(1995). Monotone dynamical system: an introduction to theory of competitive and cooperative systems. AMS Math. Surv. Monogr. 41, 32-34
VanItallie T.B., Nufert T.H.(2003). Ketones: metabolism’s ugly duckling. Nutr. Rev. 61(10): 327-341
Webber J., Simpson E., Parkin H., Macdonald I.A.(1994). Metabolic effects of acute hyperketonaemia in man before and during an hyperinsulinaemic euglycaemic clamp. Clin. Sci. Lond. 86(6): 677-687
Williamson D.H., Mellanby J., Krebs H.A.(1962). Enzymic determination of D(−)β-hydroxybutric acid and acetoacetic acid in blood. J. Biochem. 82, 90-96
Wolman S.L., Fields A.L., Cheema-Dhadli S., Halperin M.L.(1980). Protein conversion to glucose: an evaluation of the quantitative aspects. JPEN J. Parenter. Enteral Nutr. 4(5): 487-489
Zauner C., Schneeweiss C., Kranz C., Madl C., Ratheiser K., Kramer K., Roth E., Schneider B., Lenz K.(2000). Resting energy expenditure in short-term starvation is increased as a result of an increase in serum norepinephrine. Am. J. Clin. Nutr. 71, 1511-1515
Board of Agricultural and Natural Resources. (2003). Nutrient Requirements of Nonhuman Primates, 2nd Revised edn. The National Academies Press, Washington D.C.
NIH Report, Statistics Related to Overweight and Obesity, NIH Report, (2003): Available from http://win.niddk.nih.gov/statistics/Accessed 10 May 2005
Statement of the American Medical Association: A Critique of Low-Carbohydrate Ketogenic Weight Reduction Regimens: A Review of Dr. Atkins’ Diet Revolution, JAMA 224(10), 1415–1419 (1973)
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Song, B., Thomas, D.M. Dynamics of starvation in humans. J. Math. Biol. 54, 27–43 (2007). https://doi.org/10.1007/s00285-006-0037-7
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DOI: https://doi.org/10.1007/s00285-006-0037-7