Research Papers: Bio-Heat and Mass Transfer

Uncertainty Analysis of the Core Body Temperature Under Thermal and Physical Stress Using a Three-Dimensional Whole Body Model

[+] Author and Article Information
Robins T. Kalathil, Gavin A. D'Souza

Department of Mechanical and
Materials Engineering,
University of Cincinnati,
Cincinnati, OH 45221

Amit Bhattacharya

Department of Environmental Health,
University of Cincinnati,
Cincinnati, OH 45267

Rupak K. Banerjee

Department of Mechanical and
Materials Engineering,
University of Cincinnati,
593 Rhodes Hall,
Cincinnati, OH 45221
e-mail: Rupak.Banerjee@uc.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 29, 2016; final manuscript received October 6, 2016; published online November 22, 2016. Editor: Dr. Portonovo S. Ayyaswamy.

J. Heat Transfer 139(3), 031102 (Nov 22, 2016) (10 pages) Paper No: HT-16-1237; doi: 10.1115/1.4034962 History: Received April 29, 2016; Revised October 06, 2016

Heat stress experienced by firefighters is a common consequence of extreme firefighting activity. In order to avoid the adverse health conditions due to uncompensable heat stress, the prediction and monitoring of the thermal response of firefighters is critical. Tissue properties, among other parameters, are known to vary between individuals and influence the prediction of thermal response. Further, measurement of tissue properties of each firefighter is not practical. Therefore, in this study, we developed a whole body computational model to evaluate the effect of variability (uncertainty) in tissue parameters on the thermal response of a firefighter during firefighting. Modifications were made to an existing human whole body computational model, developed in our lab, for conducting transient thermal analysis for a firefighting scenario. In conjunction with nominal (baseline) tissue parameters obtained from literature, and physiologic conditions from a firefighting drill, the Pennes' bioheat and energy balance equations were solved to obtain the core body temperature of a firefighter. Subsequently, the uncertainty in core body temperature due to variability in the tissue parameters (input parameters), metabolic rate, specific heat, density, and thermal conductivity was computed using the sensitivity coefficient method. On comparing the individual effect of tissue parameters on the uncertainty in core body temperature, the metabolic rate had the highest contribution (within ±0.20 °C) followed by specific heat (within ±0.10 °C), density (within ±0.07 °C), and finally thermal conductivity (within ±0.01 °C). A maximum overall uncertainty of ±0.23 °C in the core body temperature was observed due to the combined uncertainty in the tissue parameters. Thus, the model results can be used to effectively predict a realistic range of thermal response of the firefighters during firefighting or similar activities.

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Budd, G. M. , Brotherhood, J. , Hendrie, A. , Jeffery, S. , Beasley, F. , Costin, B. , Zhien, W. , Baker, M. , Cheney, N. , and Dawson, M. , 1997, “ Project Aquarius 1. Stress, Strain, and Productivity in Men Suppressing Australian Summer Bushfires With Hand Tools: Background, Objectives, and Methods,” Int. J. Wildland Fire, 7(2), pp. 69–76. [CrossRef]
Mcintosh, R. L. , and Anderson, V. , 2010, “ A Comprehensive Tissue Properties Database Provided for the Thermal Assessment of Human at Rest,” Biophys. Rev. Lett., 05(03), pp. 129–151. [CrossRef]
Mcintosh, R. L. , and Anderson, V. , 2013, “ Erratum: ‘A Comprehensive Tissue Properties Database Provided for the Thermal Assessment of a Human at Rest,’” Biophys. Rev. Lett., 08(01n02), pp. 99–100. [CrossRef]
Duck, F. A. , 1990, Physical Properties of Tissue: A Comprehensive Reference Book, Academic Press, London.
Werner, J. , and Buse, M. , 1988, “ Temperature Profiles With Respect to Inhomogeneity and Geometry of the Human Body,” J. Appl. Physiol. (Bethesda, Md.: 1985), 65(3), pp. 1110–1118.
Bowman, H. F. , 1981, “ Heat Transfer and Thermal Dosimetry,” J. Microwave Power, 16(2), pp. 121–133. [CrossRef]
Cooper, T. E. , and Trezek, G. J. , 1972, “ A Probe Technique for Determining the Thermal Conductivity of Tissue,” ASME J. Heat Transfer, 94(2), pp. 133–140. [CrossRef]
Cooper, T. F. , and Trezek, G. J. , 1971, “ Correlation of Thermal Properties of Some Human Tissue With Water Content,” Aerosp. Med., 42(1), pp. 24–27. [PubMed]
Poppendiek, H. F. , Randall, R. , Breeden, J. A. , Chambers, J. E. , and Murphy, J. R. , 1967, “ Thermal Conductivity Measurements and Predictions for Biological Fluids and Tissues,” Cryobiology, 3(4), pp. 318–327. [CrossRef]
El-Brawany, M. A. , Nassiri, D. K. , Terhaar, G. , Shaw, A. , Rivens, I. , and Lozhken, K. , 2009, “ Measurement of Thermal and Ultrasonic Properties of Some Biological Tissues,” J. Med. Eng. Technol., 33(3), pp. 249–256. [CrossRef] [PubMed]
Henriques, F. C. , and Moritz, A. R. , 1947, “ Studies of Thermal Injury: I. The Conduction of Heat to and Through Skin and the Temperatures Attained Therein. A Theoretical and an Experimental Investigation,” Am. J. Pathol., 23(4), pp. 530–549. [PubMed]
Behnke, A. R. , 1961, “ Comment on the Determination of Whole Body Density and a Resume of Body Composition Data,” Techniques for Measuring Body Composition, J. Brožek and A. Henschel , eds., National Academy of Sciences/National Research Council, Washington, DC, p. 118.
Brozek, J. , 1952, “ Changes of Body Composition in Man During Maturity and Their Nutritional Implications,” Fed. Proc., 11(3), pp. 784–793. [PubMed]
Krzywicki, H. J. , and Chinn, K. S. , 1967, “ Human Body Density and Fat of an Adult Male Population as Measured by Water Displacement,” Am. J. Clin. Nutr., 20(4), pp. 305–310. [PubMed]
Pascal, L. R. , Grossman, M. I. , Sloane, H. S. , and Frankel, T. , 1956, “ Correlations Between Thickness of Skinfolds and Body Density in 88 Soldiers,” Hum. Biol., 28(2), pp. 165–176. [PubMed]
Elia, M. , 1992, “ Organ and Tissue Contribution to Metabolic Rate,” Energy Metabolism: Tissue Determinants and Cellular Corollaries, Raven Press, New York, pp. 19–60.
Weinsier, R. L. , Schutz, Y. , and 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(4), pp. 790–794. [PubMed]
Pennes, H. H. , 1948, “ Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm,” J. Appl. Physiol., 1(2), pp. 93–122. [PubMed]
Wang, F. , Kuklane, K. , Gao, C. , and Holmer, I. , 2011, “ Can the PHS Model (ISO7933) Predict Reasonable Thermophysiological Responses While Wearing Protective Clothing in Hot Environments?,” Physiol. Meas., 32(2), pp. 239–249. [CrossRef] [PubMed]
Kim, J. H. , Williams, W. J. , Coca, A. , and Yokota, M. , 2013, “ Application of Thermoregulatory Modeling to Predict Core and Skin Temperatures in Firefighters,” Int. J. Ind. Ergon., 43(1), pp. 115–120. [CrossRef]
Cetingul, M. P. , and Herman, C. , 2010, “ A Heat Transfer Model of Skin Tissue for the Detection of Lesions: Sensitivity Analysis,” Phys. Med. Biol., 55(19), pp. 5933–5951. [CrossRef] [PubMed]
Cvetković, M. , Poljak, D. , and Hirata, A. , 2016, “ The Electromagnetic-Thermal Dosimetry for the Homogeneous Human Brain Model,” Eng. Anal. Boundary Elem., 63, pp. 61–73. [CrossRef]
Paul, A. K. , Zachariah, S. , Zhu, L. , and Banerjee, R. K. , 2015, “ Predicting Temperature Changes During Cold Water Immersion and Exercise Scenarios: Application of a Tissue–Blood Interactive Whole-Body Model,” Numer. Heat Transfer, Part A, 68(6), pp. 598–618. [CrossRef]
Paul, A. K. , Zachariah, S. A. , Zhu, L. , and Banerjee, R. K. , 2013, “ Theoretical Predictions of Body Tissue and Blood Temperature During Cold Water Immersion Using a Whole Body Model,” ASME Paper No. SBC2013-14398.
Zachariah, S. A. , Paul, A. K. , Banerjee, R. K. , and Zhu, L. , 2013, “ Influence of Exercise Condition on Tissue Blood Temperature Using Whole Body Model,” ASME Paper No. SBC2013-14515.
Zachariah, S. , 2015, “ Methodology to Predict Core Body Temperature, Cardiac Output, and Stroke Volume for Firefighters Using a 3D Whole Body Model,” Master thesis, University of Cincinnati, Cincinnati, OH.
Zachariah, S. A. , 2015, “ Prediction of Core Body Temperature Sweat Rate Cardiac Output and Stroke Volume for Firefighters Using a 3D Whole Body Model,” ASME J. Biomech. Eng., 137(2), p. 020207. [CrossRef]
Horn, G. P. , Blevins, S. , Fernhall, B. , and Smith, D. L. , 2013, “ Core Temperature and Heart Rate Response to Repeated Bouts of Firefighting Activities,” Ergonomics, 56(9), pp. 1465–1473. [CrossRef] [PubMed]
Mani, A. , Musolin, K. , James, K. , Kincer, G. , Alexander, B. , Succop, P. , Lovett, W. , Jetter, W. A. , and Bhattacharya, A. , 2013, “ Risk Factors Associated With Live Fire Training: Buildup of Heat Stress and Fatigue, Recovery and Role of Micro-Breaks,” Occup. Ergon., 11(2), pp. 109–121.
Handbook, A. , 2009, ASHRAE Handbook–Fundamentals, American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc., Atlanta, GA.
Zhu, L. , Schappeler, T. , Cordero-Tumangday, C. , and Rosengart, A. , 2009, “ Thermal Interactions Between Blood and Tissue,” Advances in Numerical Heat Transfer, Vol. 3, CRC Press, New York.
Lawson, J. R. , Walton, W. D. , Bryner, N. P. , and Amon, F. K. , 2005, “ Estimates of Thermal Properties for Fire Fighters' Protective Clothing Materials,” U.S. Department of Commerce, National Institute of Standards and Technology, Gaithersburg, MD.
Prasad, K. , Twilley, W. H. , and Lawson, J. R. , 2002, “ Thermal Performance of Fire Fighters' Protective Clothing: Numerical Study of Transient Heat and Water Vapor Transfer,” U.S. Department of Commerce, Technology Administration, National Institute of Standards and Technology, Gaithersburg, MD.
ISO, 2004, “ Ergonomics of the Thermal Environment–Determination of Metabolic Rate,” BSI, London, Standard No. ISO 8996:2004.
Despopoulos, A. , and Silbernagl, S. , 2003, Color Atlas of Physiology, Thieme Stuttgart, New York.
Malchaire, J. , Piette, A. , Kampmann, B. , Mehnert, P. , Gebhardt, H. , Havenith, G. , Den Hartog, E. , Holmer, I. , Parsons, K. , and Alfano, G. , 2001, “ Development and Validation of the Predicted Heat Strain Model,” Ann. Occup. Hyg., 45(2), pp. 123–135. [CrossRef] [PubMed]
The American Society of Mechanical Engineers, 2009, “ Standard for Verification and Validation in Computational Fluid Dynamics and Heat Transfer,” ASME, New York, Standard No. V V 20-2009.
Gribok, A. V. , Buller, M. J. , and Reifman, J. , 2008, “ Individualized Short-Term Core Temperature Prediction in Humans Using Biomathematical Models,” IEEE Trans. Biomed. Eng., 55(5), pp. 1477–1487. [CrossRef] [PubMed]
Mani, A. , Rao, M. , James, K. , and Bhattacharya, A. , 2015, “ Individualized Prediction of Heat Stress in Firefighters: A Data-Driven Approach Using Classification and Regression Trees,” J. Occup. Environ. Hyg., 12(12), pp. 845–854. [CrossRef] [PubMed]


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Fig. 2

(a) A schematic of the 3D whole body model and (b) a typical mesh used for the computational simulations

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Fig. 1

The heart rate data of a firefighter during the entire firefighting training drill comprising of work (Sc) and rest (R) conditions

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Fig. 3

Contour plot of the whole body temperature at (a) steady-state and (b) at the end of work scenario 2 (Sc2)

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Fig. 4

(a) Comparison of numerical core body temperature (Tc_N*) with experimental core temperature (Tc_E) and (b) comparison of Tc_E with core body temperature based on scaled-down metabolic rate (Tc_N)

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Fig. 5

Uncertainty in Tc_N due to variability in (a) specific heat, c (b) density, ρ and (c) thermal conductivity, k

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Fig. 6

Uncertainty in Tc_N due variability in metabolic rate, q˙

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Fig. 7

(a) Comparison of uncertainty in Tc_E, determined based on the error in temperature measurement system, with that in Tc_N calculated based on combined uncertainties due to variability in ρ, q̇, c, and k and (b) comparison of Tc_E with the two numerical core temperatures (Tc_N, Tc_N*)

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Fig. 8

Variation of cardiac output and stroke volume during firefighting activity




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