A transient two-dimensional model of thermoregulation in a human subject

This paper describes a mathematical model of thermoregulation in a nude human subject. Heat flow within and from the body is expressed as a system of partial differential equations. The nonlinearity of the system reflects the dependence of physiological factors such as blood flow, sweating, and shivering upon tissue temperature. The model incorporates the effect of longitudinal heat flow in the torso. The resultant time-dependent nonlinear system in two dimensions is solved using high-accuracy finite-difference techniques and the simulation is validated against laboratory data and tested in two numerical experiments.