Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

Modeling energy expenditure and oxygen consumption in human exposure models: accounting for fatigue and EPOC

Abstract

Human exposure and dose models often require a quantification of oxygen consumption for a simulated individual. Oxygen consumption is dependent on the modeled individual's physical activity level as described in an activity diary. Activity level is quantified via standardized values of metabolic equivalents of work (METS) for the activity being performed and converted into activity-specific oxygen consumption estimates. However, oxygen consumption remains elevated after a moderate- or high-intensity activity is completed. This effect, which is termed excess post-exercise oxygen consumption (EPOC), requires upward adjustment of the METS estimates that follow high-energy expenditure events, to model subsequent increased ventilation and intake dose rates. In addition, since an individual's capacity for work decreases during extended activity, methods are also required to adjust downward those METS estimates that exceed physiologically realistic limits over time. A unified method for simultaneously performing these adjustments is developed. The method simulates a cumulative oxygen deficit for each individual and uses it to impose appropriate time-dependent reductions in the METS time series and additions for EPOC. The relationships between the oxygen deficit and METS limits are nonlinear and are derived from published data on work capacity and oxygen consumption. These modifications result in improved modeling of ventilation patterns, and should improve intake dose estimates associated with exposure to airborne environmental contaminants.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10

Similar content being viewed by others

References

  • Ainsworth B.E., Haskell W.L., Leon A.S., Jacobs Jr D.R., Montoye H.J., and Sallis J.F., et al. Compendium of physical activities: classification of energy costs of human physical activities. Med Sci Sports Exerc 1993: 25 (1): 71–80.

    Article  CAS  Google Scholar 

  • Almuzaini K.S., Potteiger J.A., and Green S.B. Effects of split exercise sessions on excess postexercise oxygen consumption and resting metabolic rate. Can J Appl Physiol 1998: 23 (5): 433–443.

    Article  CAS  Google Scholar 

  • Bahr R., Ingnes I., Vaage O., Sejersted O.M., and Newsholme E.A. Effect of duration of exercise on excess postexercise O2 consumption. J Appl Physio 1987: 62 (2): 485–490.

    Article  CAS  Google Scholar 

  • Bahr R. Excess postexercise oxygen consumption — magnitude, mechanisms and practical implications. Acta Physiol Scand Suppl 1992: 605: 1–70.

    CAS  PubMed  Google Scholar 

  • Bearden S.E., and Moffatt R.J. VO2 kinetics and the O2 deficit in heavy exercise. J Appl Physiol 2000: 88 (4): 1407–1412.

    Article  CAS  Google Scholar 

  • Bell C., Paterson D.H., Kowalchuk J.M., Padilla J., and Cunningham D.A. A comparison of modelling techniques used to characterise oxygen uptake kinetics during the on-transient of exercise. Exp Physiol 2001: 86 (5): 667–676.

    Article  CAS  Google Scholar 

  • Berthoin S., Baquet G., Dupont G., Blondel N., and Mucci P. Critical velocity and anaerobic distance capacity in prepubertal children. Can J Appl Physiol 1996: 28 (4): 561–575.

    Article  Google Scholar 

  • Bickham D., Le Rossignol P., Gibbons C., and Russell A.P. Re-assessing accumulated oxygen deficit in middle-distance runners. J Sci Med Sport 2002: 5 (4): 372–382.

    Article  CAS  Google Scholar 

  • Bielinski R., Schutz Y., and Jequier E. Energy metabolism during the postexercise recovery in man. Am J Clin Nutr 1985: 42 (1): 69–82.

    Article  CAS  Google Scholar 

  • Billat V., Beillot J., Jan J., Rochcongar P., and Carre F. Gender effect on the relationship of time limit at 100% VO2max with other bioenergetic characteristics. Med Sci Sports Exerc 1996: 28 (8): 1049–1055.

    Article  CAS  Google Scholar 

  • Bink B. The physical working capacity in relation to working time and age. Ergonomics 1962: 5 (1): 29–31.

    Article  Google Scholar 

  • Brockman L., Berg K., and Latin R. Oxygen uptake during recovery from intense intermittent running and prolonged walking. J Sports Med Phys Fitness 1993: 33 (4): 330–336.

    CAS  PubMed  Google Scholar 

  • Buck D., and McNaughton L. Maximum accumulated oxygen debt must be calculated using 10 min time periods. Med Sci Sports Exerc 1999: 31 (9): 1346–1349.

    Article  CAS  Google Scholar 

  • Burke J.M., Zufall M.J., and Ozkaynak H. A population exposure model for particulate matter: case study results for PM(2.5) in Philadelphia, PA. J Expo Anal Environ Epidemiol 2001: 11 (6): 470–489.

    Article  CAS  Google Scholar 

  • Byrne N.M., Hills A.P., Hunter G.R., Weinsier R.L., and Schutz Y. Metabolic equivalent: one size does not fit all. J Appl Physiol 2005: 99 (3): 1112–1119.

    Article  Google Scholar 

  • Carlson J.S., and Naughton G.A. An examination of the anaerobic capacity of children using maximum accumulated oxygen debt. Pediatr Exerc Sci 1993: 5: 60–71.

    Article  Google Scholar 

  • Chatagnon M., and Busso T. Modelling of aerobic and anaerobic energy production during exhaustive exercise on a cycle ergometer. Eur J Appl Physiol 2006: 97 (6): 755–760.

    Article  Google Scholar 

  • Dawson B., Straton S., and Randall N. Oxygen consumption during recovery from prolonged submaximum cycling below the anaerobic threshold. J Sports Med Phys Fitness 1996: 36: 77–84.

    CAS  PubMed  Google Scholar 

  • Demarle A.P., Slawinski J.J., Laffite L.P., Bocquet V.G., Koralsztein J.P., and Billat V.L. Decrease of O2 deficit is a potential factor in increased time to exhaustion after specific endurance training. J Appl Physiol 2001: 90 (3): 947–953.

    Article  CAS  Google Scholar 

  • Doherty M., Smith P.M., and Schroder K. Reproducibility of the maximum accumulated oxygen deficit and run time to exhaustion during short-distance running. J Sports Sci 2001: 18 (5): 331–338.

    Article  Google Scholar 

  • Erb B.D. Applying work physiology to occupational medicine. Occup Health Safety 1981: 50 (6): 20–24.

    CAS  Google Scholar 

  • Faina M., Billat V., Squadrone R., De Angelis M., Koralsztein J.P., and Dal Monte A. Anaerobic contribution to the time to exhaustion at the minimal exercise intensity at which maximum oxygen uptake occurs in elite cyclists, kayakists and swimmers. Eur J Appl Physiol Occup Physiol 1997: 76 (1): 13–20.

    Article  CAS  Google Scholar 

  • Frey G.C., Byrnes W.C., and Mazzeo R.S. Factors influencing excess postexercise oxygen consumption in trained and untrained women. Metabolism 1993: 42 (7): 822–828.

    Article  CAS  Google Scholar 

  • Gastin P.B., and Lawson D.L. Variable resistance all-out test to generate accumulated oxygen deficit and predict anaerobic capacity. Eur J Appl Physiol Occup Physiol 1994: 69 (4): 331–336.

    Article  CAS  Google Scholar 

  • Gastin P.B., Costill D.L., Lawson D.L., Krzeminski K., and McConell G.K. Accumulated oxygen deficit during supramaximum all-out and constant intensity exercise. Med Sci Sports Exerc 1995: 27 (2): 255–263.

    Article  CAS  Google Scholar 

  • Gillette C.A., Bullough R.C., and Melby C.L. Postexercise energy expenditure in response to acute aerobic or resistive exercise. Int J Sport Nutr 1994: 4 (4): 347–360.

    Article  CAS  Google Scholar 

  • Gore C.J., and Withers R.T. Effect of exercise intensity and duration on postexercise metabolism. J Appl Physiol 1990: 68 (6): 2362–2368.

    Article  CAS  Google Scholar 

  • Hagberg J.M., Hickson R.C., Ehsani A.A., and Holloszy J.O. Faster adjustment to and recovery from submaximum exercise in the trained state. J Appl Physiol 1980: 48 (2): 218–224.

    Article  CAS  Google Scholar 

  • Harms C.A., Cordain L., Stager J.M., Sockler J.M., and Harris M. Body fat mass affects postexercise oxygen metabolism in males of similar lean body mass. Med Exerc Nutr Health 1995: 4: 33–39.

    Google Scholar 

  • Harris J.M., Hobson E.A., and Hollingsworth D.F. Individual variations in energy expenditure and intake. Proc Nutr Soc 1962: 21: 157–169.

    Article  Google Scholar 

  • Hill A.V., and Lupton H. Muscular exercise, lactic acid, and the supply and utilization of oxygen. Q J Med 1923: 16: 135.

    Article  CAS  Google Scholar 

  • Hill D.W., Ferguson C.S., and Ehler K.L. Alternative method to determine maximum accumulated O2 deficit in runners. Eur J Appl Physiol Occup Physiol 1998: 79 (1): 114–117.

    Article  CAS  Google Scholar 

  • Jette M., Sidney K., and Blumchen G. Metabolic equivalents (METS) in exercise testing, exercise prescription, and evaluation of functional capacity. Clin Cardiol 1990: 13 (8): 555–565.

    Article  CAS  Google Scholar 

  • Johnson T. Recent advances in the estimation of population exposure to mobile source pollutants. J Expo Anal Environ Epidemiol 1995: 5 (4): 551–571.

    CAS  PubMed  Google Scholar 

  • Kaminsky L.A., and Whaley M.H. Effect of interval-type exercise on excess post-exercise oxygen consumption in obese and normal-weight women. Med Exerc Nutr Health 1993: 2: 106–111.

    Google Scholar 

  • Kaminsky L.A., Padjen S., and LaHam-Saeger J. Effect of split exercise sessions on excess post-exercise oxygen consumption. Br J Sports Med 1990: 24 (2): 95–98.

    Article  CAS  Google Scholar 

  • Katch F.I., Girandola R.N., and Henry F.M. The influence of the estimated oxygen cost of ventilation on oxygen deficit and recovery oxygen intake for moderately heavy bicycle ergometer exercise. Med Sci Sports 1972: 4: 71–76.

    Google Scholar 

  • Knuttgen H.G. Oxygen debt after submaximum physical exercise. J Appl Physiol 1970: 29 (5): 651–657.

    Article  CAS  Google Scholar 

  • Lamb D.R. Physiology of Exercise. Macmillan, New York, 1984.

    Google Scholar 

  • Maehlum S., Grandmontagne M., Newsholme E.A., and Sejersted O.M. Magnitude and duration of excess postexercise oxygen consumption in healthy young subjects. Metabolism 1986: 35 (5): 425–429.

    Article  CAS  Google Scholar 

  • Maresh C.M., Abraham A., De Souza M.J., Deschenes M.R., Kraemer W.J., Armstrong L.E., Maguire M.S., Gabaree C.L., and Hoffman J.R. Oxygen consumption following exercise of moderate intensity and duration. Eur J Appl Physiol Occup Physiol 1992: 65 (5): 421–426.

    Article  CAS  Google Scholar 

  • Maxwell N.S., and Nimmo M.A. Anaerobic capacity: a maximum anaerobic running test versus the maximum accumulated oxygen deficit. Can J Appl Physiol 1996: 21 (1): 35–47.

    Article  CAS  Google Scholar 

  • McArdle W.D., Katch F.I., and Katch V.L. Exercise Physiology: Energy, Nutrition, and Human Performance, 5th edn. Lippincott, Williams, and Wilkins: Philadephia, 2001.

    Google Scholar 

  • McCurdy T., Glen G., Smith L., and Lakkadi Y. The National Exposure Research Laboratory's Consolidated Human Activity Database. J Expo Anal Environ Epidemiol 2000b: 10: 566–578.

    Article  CAS  Google Scholar 

  • McCurdy T. Conceptual basis for multi-route intake dose modeling using an energy expenditure approach. J Expo Anal Environ Epidemiol 2000a: 10 (1): 86–97.

    Article  CAS  Google Scholar 

  • McCurdy T. Estimating human exposure to motor vehicle pollutants using the NEM series of models: lessons to be learned. J Expo Anal Environ Epidemiol 1995: 5 (4): 533–550.

    CAS  PubMed  Google Scholar 

  • McCurdy T. Modeling the dose profile in human exposure assessments: ozone as an example. Rev Toxicol I 1997: 1 (1): 3–23.

    CAS  Google Scholar 

  • Naughton G.A., Carlson J.S., Buttifant D.C., Selig S.E., Meldrum K., McKenna M.J., and Snow R.J. Accumulated oxygen deficit measurements during and after high-intensity exercise in trained male and female adolescents. Eur J Appl Physiol Occup Physiol 1998: 76 (6): 525–531.

    Article  Google Scholar 

  • Olesen H.L. Accumulated oxygen deficit increases with inclination of uphill running. J Appl Physiol 1992: 73 (3): 1130–1134.

    Article  CAS  Google Scholar 

  • Paterson D.H., and Whipp B.J. Asymmetries of oxygen uptake transients at the on- and offset of heavy exercise in humans. J Physiol 1991: 443: 575–586.

    Article  CAS  Google Scholar 

  • Pivarnik J.M., and Wilkerson J.E. Recovery metabolism and thermoregulation of endurance trained and heat acclimatized men. J Sports Med Phys Fitness 1988: 28 (4): 375–380.

    CAS  PubMed  Google Scholar 

  • Ren J.M., Broberg S., and Sahlin K. Oxygen deficit is not affected by the rate of transition from rest to submaximal exercise. Acta Physiol Scand 1989: 135 (4): 545–548.

    Article  CAS  Google Scholar 

  • Renoux J.C., Petit B., Billat V., and Koralsztein J.P. Oxygen deficit is related to the exercise time to exhaustion at maximum aerobic speed in middle distance runners. Arch Physiol Biochem 1999: 107 (4): 280–285.

    CAS  PubMed  Google Scholar 

  • Roberts A.D., Clark S.A., Townsend N.E., Anderson M.E., Gore C.J., and Hahn A.G. Changes in performance, maximum oxygen uptake and maximum accumulated oxygen deficit after 5, 10 and 15 days of live high:train low altitude exposure. Eur J Appl Physiol 2003: 88 (4–5): 390–395.

    Article  CAS  Google Scholar 

  • Sedlock D.A. Effect of exercise intensity on postexercise energy expenditure in women. Br J Sports Med 1991a: 25 (1): 38–40.

    Article  CAS  Google Scholar 

  • Sedlock D.A. Postexercise energy expenditure following upper body exercise. Res Q Exerc Sport 1991b: 62 (2): 213–216.

    Article  CAS  Google Scholar 

  • Short K.R., and Sedlock D.A. Excess postexercise oxygen consumption and recovery rate in trained and untrained subjects. J Appl Physiol 1997: 83 (1): 153–159.

    Article  CAS  Google Scholar 

  • Stallings C., Graham S.E., Glen G., and Smith L. SHEDS-Airtoxics Users and Technical Guide 2003 EPA/600/C-03/003.

  • Stirling J.R., Zakynthinaki M.S., and Saltin B. A model of oxygen uptake kinetics in response to exercise: including a means of calculating oxygen demand/deficit/debt. Bull Math Biol 2005: 67 (5): 989–1015.

    Article  CAS  Google Scholar 

  • Strath S.J., Swartz A.M., Bassett Jr D.R., O'Brien W.L., King G.A., and Ainsworth B.E. Evaluation of heart rate as a method for assessing moderate intensity physical activity. Med Sci Sports Exer 2000: 32 (9 Suppl): S465–S470.

    Article  CAS  Google Scholar 

  • Trost S., Wilcox A., and Gillis D. The effect of substrate utilization, manipulated by nicotinic acid, on excess postexercise oxygen consumption. Int J Sports Med 1997: 18 (2): 83–88.

    Article  CAS  Google Scholar 

  • US Environmental Protection Agency. Total Risk Integrated Methodology (TRIM) — Air Pollutants Exposure Model Documentation (TRIMExpo/APEX, Ver 4) Volume I: User's Guide. Research Triangle Park, NC, 2006a Available at http://www.epa.gov/ttn/fera/human_apex.html.

  • US Environmental Protection Agency. Total Risk Integrated Methodology (TRIM) — Air Pollutants Exposure Model Documentation (TRIMExpo/APEX, Ver 4) Volume II: Technical Support Document. Research Triangle Park, NC, 2006b Available at http://www.epa.gov/ttn/fera/human_apex.html.

  • US Environmental Protection Agency. First Draft Ozone Exposure Analysis Report. Research Triangle Park, NC, USA, 2006c Available at http://epa.gov/ttn/naaqs/standards/ozone/s_o3_cr_td.html.

  • Weber C.L., and Schneider D.A. Maximum accumulated oxygen deficit expressed relative to the active muscle mass for cycling in untrained male and female subjects. Eur J Appl Physiol 2000: 82 (4): 255–261.

    Article  CAS  Google Scholar 

  • Xu F., and Rhodes E.C. Oxygen uptake kinetics during exercise. Sports Med 1999: 27 (5): 313–327.

    Article  CAS  Google Scholar 

Download references

Acknowledgements

The work reported here was funded by the US Environmental Protection Agency under contract numbers EP-D-05-065 and 68-D-00-206 to Alion Science and Technology Inc. Its contents are solely the authors' responsibility and do not necessarily represent official views of the Agency. The paper has been subjected to the Agency's review process and has been approved for publication. Mention of trade names or commercial products does not constitute an endorsement or recommendation for use. The authors gratefully acknowledge the input of John Langstaff and Harvey Richmond of EPA's Office of Air Quality Planning and Standards and Dr. Stephen Graham of EPA's National Exposure Research Laboratory. The authors also thank the two anonymous peer reviewers for their helpful suggestions. The authors acknowledge the monetary and intellectual support on this project provided to us by Dr. Larry Cupitt, associate director of EPA's National Exposure Research Laboratory.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kristin Isaacs.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Isaacs, K., Glen, G., Mccurdy, T. et al. Modeling energy expenditure and oxygen consumption in human exposure models: accounting for fatigue and EPOC. J Expo Sci Environ Epidemiol 18, 289–298 (2008). https://doi.org/10.1038/sj.jes.7500594

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/sj.jes.7500594

Keywords

This article is cited by

Search

Quick links