| MATHEMATICAL ESTIMATION OF PHYSIOLOGICAL DISTURBANCES IN HUMAN DERMAL PARTS AT EXTREME CONDITIONS： ONE DIMENSIONAL STEADY STATE CASE |
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| 作者单位： | M. A. Khanday(Department of Mathematics University of Kashmir Srinagar-190006 India);V. P. Saxena(School of Mathematics and Allied Sciences Jiwaji University, Gwalior-474011 India) |
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| 摘 要： |
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| 关 键 词： | 生理失调 极端条件 数学估计 真皮 皮肤温度 案例 稳态 一维 |
Mathematical estimation of physiological disturbances in human dermal parts at extreme conditions: One dimensional steady state case |
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| M. A. Khanday,V. P. Saxena. Mathematical estimation of physiological disturbances in human dermal parts at extreme conditions: One dimensional steady state case[J]. Analysis in Theory and Applications, 2009, 25(4): 325-332. DOI: 10.1007/s10496-009-0325-3 |
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| Authors: | M. A. Khanday V. P. Saxena |
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| Affiliation: | [1]University of Kashmir Srinagar, India [2]Jiwaji University, India |
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| 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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| Keywords: | thermoregulation metabolism blood flow skin response bio-heat equation mathematical model |
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