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Mathematical estimation of physiological disturbances in human dermal parts at extreme conditions: One dimensional steady state case

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Analysis in Theory and Applications

Abstract

A mathematical model for the thermoregulation in the dermal layers of the human body is proposed. The skin is composed mainly of three layers — epidermis, dermis and subcutaneous tissues. The relative constancy of the body temperature is remarkable because there is a continuous exchange of heat with the external environment as well as within the different compartments of the body. A model describes the distribution of dermal temperature as a function of internal and external parameters, such as temperature of the incoming arterial blood, blood flow, ambient temperature, and heat exchange with the environment. It is shown that substantial changes in human dermal temperature can be accomplished only through changes in the temperature of the incoming arterial blood or substantial suppression of blood flow. Other parameters can lead only to temperature changes near the skin surface.

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References

  1. Chao, K. N, Eisely, J. C. and Yang, W. J., Heat and Water Migration in Regional Skin and Subcutaneous Tissues, Bio-Med, Sym. ASME, (1973), 69–72.

  2. Chao, K. N. and Yang, W. J., Response of Skin and Tissue Temperature in Sauna and steam Baths, Bio-Medical Sym, ASME, (1975), 69–72.

  3. Daanen, H. A. M., Central and Peripheral Control of Finger Blood Flow in the Cold, Thesis. Vrije University, 1997.

  4. Guyton, A. C. Medical Physiology, W. B. Saunders, Philadelphia, 10th edition, (2000), 904–984.

    Google Scholar 

  5. Hodgson, T. The Development of Instrumentation for the Direct Measurement of Heat Loss from a Man in a Normal Working Mode, Ph.D. Thesis, CSIR-South Africa (1974).

  6. Lehmuskallio, E., et al., Health and Performance in the cold, workshop, Oulu, International Journal of Circumpolar Health, 2000.

  7. Pennes, H. H., Analysis of Tissue and Arterial Blood Temperature in the Resting Human Forearm. J. Applied Physiology, 1(1948), 93–122.

    Article  Google Scholar 

  8. Ruch, T. C. and Patton, H. D., Physiology and Biophysics, W.B. Saunders, (1974), 85–122.

  9. Khanday, M. A. and Saxena, V. P., Mathematical Estimation of Cold Effect on Human Dermal Regions, International Journal of Applied Mathematics and Computation, 1:1(2009), 17–29.

    Google Scholar 

  10. Saxena, V. P., Effect of Blood flow on Temperature Distribution in Human Skin and Subdermal Tissues, Proc. 9th Nat. Conf. Fluid Mech. Fluid Power, 2(1979), 156–161.

    Google Scholar 

  11. Saxena, V. P., Temperature Distribution in Human Skin and Sub-dermal Tissues, J. Theo. Bio., 102(1983), 277–286.

    Article  Google Scholar 

  12. Trezek, G. J. and Cooper, T. E., A Probe Technique for Determining the Thermal Conductivity of Tissue, J. Heat. Transfer ASME, 94(1972), 133–140.

    Article  Google Scholar 

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Correspondence to M. A. Khanday.

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Khanday, M.A., Saxena, V.P. Mathematical estimation of physiological disturbances in human dermal parts at extreme conditions: One dimensional steady state case. Anal. Theory Appl. 25, 325–332 (2009). https://doi.org/10.1007/s10496-009-0325-3

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  • DOI: https://doi.org/10.1007/s10496-009-0325-3

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