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A transient model of thermoregulation in a clothed human
Authors:P Smith  EH Twizell
Institution:Department of Mathematics and Computer Studies, Sunderland Polytechnic, Sunderland SR1 3SD, UK;Department of Mathematics, Brunel University, Uxbridge, Middlesex UB8 3PH, UK
Abstract:This paper describes a mathematical model of human thermoregulation in a clothed individual. Heat flow within and from the clothed body is expressed as a system of partial differential equations. The system is nonlinear as a result of the very nature of human thermoregulation. Such important physical properties as shivering, sweating, vasodilation and vasoconstriction are included in the simulation. Finite difference techniques are used to approximate spatial partial derivatives, thus reducing the problem to that of solving a system of nonlinear ordinary differential equations. A high accuracy approximation in the time dimension is used to generate a solution to the problem. The model is used to predict the reaction of a clothed human to various changes in environmental conditions.
Keywords:human thermoregulation  finite difference model  control system
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