Determination of Metabolic Rate from Physical Measurements of Heart Rate, Mean Skin Temperature and Carbon Dioxide Variation

Determination of Metabolic Rate from Physical Measurements of Heart Rate, Mean Skin Temperature and Carbon Dioxide Variation

Thermal comfort depends on four environmental parameters such as air temperature, mean radiant temperature, air velocity and relative humidity and two personal parameters, including clothing insulation and metabolic rate. Environmental parameters can be measured via objective sensors. However, personal parameters can be merely estimated in most of the studies. Metabolic rate is one of the problematic personal parameters that affect the accuracy of thermal comfort models. International thermal comfort standards still use a conventional metabolic rate table which is tabulated according to different activity tasks. On the other hand, ISO 8996 underestimates metabolic rates, especially when the time of activity level is short and rest time is long. To this aim, this paper aims to determine metabolic rates from physical measurements of heart rate, mean skin temperature and carbon dioxide variation by means of nineteen sample activities. 21 male and 17 female subjects with different body mass indices, sex and age are used in the study. The occupants are subjected to different activity tasks while heart rate, skin temperature and carbon dioxide variation are measured via objective sensors. The results show that the metabolic rate can be estimated with a multivariable non-linear regression equation with high accuracy of 0.97.

___

  • [1] Z. Deng, and Q. Chen, "Artificial neural network models using thermal sensations and occupants’ behavior for predicting thermal comfort", Energy and Buildings, vol. 174, pp. 587-602, 2018.
  • [2] P. O. Fanger, “Thermal comfort. Analysis and applications in environmental engineering”, Copenhagen, Denmark: Danish Technical Press, 1970.
  • [3] Ergonomics of the thermal environment-instruments for measuring physical quantities, 7726, International Standardization Organization, Geneva, Switzerland, 1998.
  • [4] Thermal Environment Conditions for Human Occupancy, 55, American Society of Heating, Refrigerating and Air-Conditioning Engineers, Atlanta, USA, 2020.
  • [5] Ergonomics of the thermal environment — Analytical determination and interpretation of thermal comfort using calculation of the PMV and PPD indices and local thermal comfort criteria, 7730, International Standardization Organization, Geneva, Switzerland, 2005.
  • [6] G. Havenith, I. Holmér, and K. Parsons. “Personal factors in thermal comfort assessment: clothing properties and metabolic heat production”, Energy and Buildings, vol. 34(6), pp. 581-91, 2002.
  • [7] Ergonomics of the thermal environment - Estimation of thermal insulation and water vapour resistance of a clothing ensemble, 9920, International Standardization Organization, Geneva, Switzerland, 2007.
  • [8] J. Van Hoof “Forty years of Fanger’s model of thermal comfort: comfort for all?”, Indoor Air, vol. 18(3), pp. 182-201, 2008.
  • [9] L. M. Chamra, W. G. Steele, and K. Huynh, “The uncertainty associated with thermal comfort”. ASHRAE Transactions, vol. 109, pp. 356-365, 2003.
  • [10] M. Luo, Z. Wang, K. Ke, B. Cao, Y. Zhai, and X. Zhou, “Human metabolic rate and thermal comfort in buildings: The problem and challenge”. Building and Environment, vol. 131, pp. 44-52, 2018.
  • [11] Ergonomics of the thermal environment - Determination of metabolic rate, 8996, International Standardization Organization, Geneva, 2004.
  • [12] M. H. Khan, and W. Pao, “Thermal comfort analysis of PMV model prediction in air conditioned and naturally ventilated buildings”. Energy Procedia, vol. 75, pp. 1373-1379, 2015.
  • [13] F. R. Alfano, B. I. Palella, and G. Riccio, “The role of measurement accuracy on the thermal environment assessment by means of PMV index”. Building and Environment, vol. 46(7), pp. 1361-1369, 2011.
  • [14] M. A. Humphreys, and J. F. Nicol, “The validity of ISO-PMV for predicting comfort votes in every-day thermal environments”. Energy and Buildings, vol. 34(6), pp. 667-684, 2002.
  • [15] C. Yang, T. Yin, and M. Fu, “Study on the allowable fluctuation ranges of human metabolic rate and thermal environment parameters under the condition of thermal comfort”. Building and Environment, vol. 103, pp. 155-164, 2016.
  • [16] P. O. Fanger and J. Toftum, “Extension of the PMV model to non-air-conditioned buildings in warm climates”. Energy and Buildings, vol. 34(6), pp. 533-536, 2002.
  • [17] E. E. Broday, A. A. de Paula Xavier, and R. de Oliveira, “Comparative analysis of methods for determining the metabolic rate in order to provide a balance between man and the environment”. International Journal of Industrial Ergonomics, vol.44(4), pp. 570-580, 2014.
  • [18] Y. Zhai, M. Li, S. Gao, L. Yang, H. Zhang, E. Arens, and Y. Gao, “Indirect calorimetry on the metabolic rate of sitting, standing and walking office activities”. Building and Environment, vol. 145, pp. 77-84, 2018.
  • [19] J. H. Choi, V. Loftness, and D. W. Lee, “Investigation of the possibility of the use of heart rate as a human factor for thermal sensation models”. Building and Environment, vol. 50, pp. 165-175, 2012.
  • [20] G. M. Revel, M. Arnesano, and F. Pietroni, “Integration of real-time metabolic rate measurement in a low-cost tool for the thermal comfort monitoring in AAL environments”. Ambient assisted living, Springer International Publishing, Cham, pp. 101-110, 2015.
  • [21] J. Bligh, “Thermoregulation: what is regulated and how?” in New trends in thermal physiology, Y. Houdas, and J. D. Guieu, Eds., Paris, France, Masson, pp. 1-10, 1978.
  • [22] J. LeBlanc, B. Blais, B. Barabe, and J. Cote, “Effects of temperature and wind on facial temperature, heart rate, and sensation”. Journal of Applied Physiology, vol. 40(2), pp. 127-131, 1976.
  • [23] Y. Shapiro, K. B. Pandolf, and R. F. Goldman, “Predicting sweat loss response to exercise, environment and clothing”. European Journal of Applied Physiology and Occupational Physiology, vol. 48(1), pp. 83-96, 1982.
  • [24] S. Zhang, Y. Cheng, M. O. Oladokun, Y. Wu, and Z. Lin, “Improving predicted mean vote with inversely determined metabolic rate”. Sustainable Cities and Society, vol. 53, 101870, 2020.
  • [25] D. Willner, and C. Weissman, “Carbon dioxide production, metabolism, and anesthesia”, Capnography, J. Gravenstein, M. Jaffe, N. Gravenstein, and D. Paulus, Eds., Cambridge UK: Cambridge University Press, pp. 239-249, 2011.
  • [26] J. Takala, “Oxygen Consumption and Carbon Dioxide Production: Physiological Basis and Practical Application in Intensive Care”, in Proceedings of the 11th Postgraduate Course in Critical Care Medicine, Trieste, Italy, pp. 155-162, 1996.
  • [27] J. Orr, “Evaluation of a Novel Resting Metabolic Rate Measurement System.”, korr.com. https://korr.com/wp-content/uploads/ReeVue-Evaluation-of-a-Novel-Resting-Metabolic-Rate-Measurement-System_Orr_2002.pdf (Accessed Jul. 15, 2021).
  • [28] M. Luo, X. Zhou, Y. Zhu, and J. Sundell, “Revisiting an overlooked parameter in thermal comfort studies, the metabolic rate”. Energy and Buildings, vol. 118, pp. 152-159, 2016.
  • [29] H. Na, H. Choi, and T. Kim, “Metabolic rate estimation method using image deep learning”. Building Simulation, vol. 13(5), pp. 1077-1093, 2020.
  • [30] J. Timbal, M. Loncle, and C. Boutelier, “Mathematical model of man’s tolerance to cold using morphological factors”. Aviation, Space, and Environmental Medicine, vol. 47(9), pp. 958-964, 1976.
  • [31] E. H. Wissler “A mathematical model of the human thermal system”. The Bulletin of Mathematical Biophysics, vol. 26(2), pp. 147-166, 1964.
  • [32] Y. Zotterman, “Special senses: thermal receptors”. Annual Review of Physiology, vol. 15, pp. 357-372, 1953.
  • [33] W. Ji, M. Luo, B. Cao, Y. Zhu, Y. Geng, and B. Lin, “A new method to study human metabolic rate changes and thermal comfort in physical exercise by CO2 measurement in an air-tight chamber”. Energy and Buildings, vol. 177, pp. 402-412, 2018.
  • [34] DF Robots, “DHT22, Temperature & Relative Humidity Sensor Datasheet”, wiki.dfrobot.com. https://wiki.dfrobot.com/DHT22_Temperature_and_humidity_module_SKU_SEN0137 (Accessed Jul. 15, 2021).
  • [35] Testo, “Testo 425 Anemometer Datasheet”, testo.com. https://www.testo.com/en-UK/testo-425/p/0560-4251 (Accessed Jul. 15, 2021).
  • [36] Global Monitoring Laboratory 2020. “Trends in Atmospheric Carbon Dioxide”, esrl.noaa.gov. https://www.esrl.noaa.gov/gmd/ccgg/trends (Accessed Jul. 15, 2021).
  • [37] DF Robots, “MG811 Carbon-dioxide Sensor Datasheet”, wiki.dfrobot.com. https://wiki.dfrobot.com/CO2_Sensor_SKU_SEN0159#target_0 (Accessed Jul. 15, 2021).
  • [38] Xiaomi, Mi Band 3, “Wrist Band Datasheet”. mi.com https://www.mi.com/uk/mi-band-3/specs (Accessed Jul. 15, 2021).
  • [39] Extech Instruments, “Extech 42530, Infrared Thermometer Datasheet”, extech.com. http://www.extech.com/products/resources/42530_DS-en.pdf (Accessed Jul. 15, 2021).
  • [40] R. F. Goldman “Environmental ergonomics: Whence what wither”. in 11th International Conference on Environmental Ergonomics, Ystad, Sweden, pp. 39-47, 2005.
  • [41] R. E. Hasson, C. A. Howe, B. L. Jones, and P. S. Freedson, “Accuracy of four resting metabolic rate prediction equations: effects of sex, body mass index, age, and race/ethnicity”. Journal of Science and Medicine in Sport, vol.14(4), pp.344-351, 2011.
  • [42] D. Mitchell, and C. H. Wyndham, “Comparison of weighting formulas for calculating mean skin temperature”. Journal of Applied Physiology, vol. 26(5), pp. 616-622, 1969.
  • [43] MathWorks. MATLAB, MathWorks, R2018b, 2018.
  • [44] C. Turhan, and G. G. Akkurt “Assessment of thermal comfort preferences in Mediterranean climate: A university office building case”. Thermal Science, vol. 22(5), pp. 2177-2187, 2018.
  • [45] A. S. Nazih, E. Fawwaz, and M. A. Osama, “Medium-term electric load forecasting using multivariable linear and non-linear regression”. Smart Grid and Renewable Energy, vol.2(2), pp.126-135, 2011.
  • [46] C. Turhan, T. Kazanasmaz, I. E. Uygun, K. E. Ekmen, and G. G. Akkurt, “Comparative study of a building energy performance software (KEP-IYTE-ESS) and ANN-based building heat load estimation”. Energy and Buildings, vol. 85, pp. 115-125, 2014.
  • [47] B. Gothe, M. D. Altose, M. D. Goldman, and N.S. Cherniack. “Effect of quiet sleep on resting and CO2-stimulated breathing in humans”. Journal of Applied Physiology, vol. 50(4), pp. 724-730, 1981.
  • [48] A. Bollinger, and M. Schlumpf, “Finger blood flow in healthy subjects of different age and sex and in patients with primary Raynaud’s disease”. Acta chirurgica Scandinavica. Supplementum, vol. 465, pp. 42-47, 1976.
  • [49] N. Meunier, J. H. Beattie, D. Ciarapica, J. M. O’Connor, M. Andriollo-Sanchez, A. Taras, C. Coudray, and A. Polito, “Basal metabolic rate and thyroid hormones of late-middle-aged and older human subjects: the ZENITH study”. European Journal of Clinical Nutrition, vol. 59(2), pp. 53-57, 2005.
  • [50] B. Kingma, and V. M. Lichtenbelt, “Energy consumption in buildings and female thermal demand”. Nature Climate Change, vol. 5(12), pp. 1054-1056, 2015.
  • [51] G. Havenith “Metabolic rate and clothing insulation data of children and adolescents during various school activities”. Ergonomics, vol. 50(10), pp. 1689-1701, 2007.
  • [52] J. A. Harris, and F. G. Benedict, “A biometric study of human basal metabolism”. National Academy of Sciences of the United States of America, vol. 4(12), pp. 370, 1918.
  • [53] United Nations University, & World Health Organization, “Human Energy Requirements: Report of a Joint FAO/WHO/UNU Expert Consultation: Rome, 17-24 October 2001 (Vol. 1)”, Food & Agriculture Organization.
  • [54] S. Haddad, P. Osmond, S. King, and S. Heidari “Developing assumptions of metabolic rate estimation for primary school children in the calculation of the Fanger PMV model”, in 8th Windsor Conference: Counting the Cost of Comfort in a Changing World, Windsor, UK, pp. 10-13, 2014.
  • [55] G. Brager, M. Fountain, C. Benton, E. A. Arens, and F. Bauman “A comparison of methods for assessing thermal sensation and acceptability in the field”, in Proceedings, Thermal Comfort: Past, Present, and Future, Watford, UK, pp.17-39, 1993.
  • [56] C. Turhan, T. Kazanasmaz, and G. G. Akkurt, “Performance indices of soft computing models to predict the heat load of buildings in terms of architectural indicators”. Journal of Thermal Engineering, vol. 3(4), pp. 1358-1374, 2017.
  • [57] Z. Karapınar Şentürk, "Artificial Neural Networks Based Decision Support System for the Detection of Diabetic Retinopathy", Sakarya University Journal of Science, vol. 24, no. 2, pp. 424-431, 2020.
  • [58] Von Grabe J. “Potential of artificial neural networks to predict thermal sensation votes”. Applied energy, vol. 161, pp. 412-424, 2016.
  • [59] M. Erdoğan, "A New Fuzzy Approach for Analyzing the Smartness of Cities: Case Study for Turkey", Sakarya University Journal of Science, vol. 25, no. 2, pp. 308-325, 2021.
  • [60] M. Luo, W. Ji, B. Cao, Q. Ouyang, and Y. Zhu “Indoor climate and thermal physiological adaptation: Evidences from migrants with different cold indoor exposures”. Building and Environment, 98, 30-38, 2016.