The mathematical system analysis of structure and function of the human thermoregulatory system is introduced and compared to simplifying modelling techniques. In an adequate treatment the principle of locally and time dependent variables and parameters is taken into account. The complete equations are given in such a way that reference signals are not necessary. The problem of the set point is discussed. On the basis of a series of preliminary simplifications first results are presented concerning system-states under open and closed loop conditions, effectiveness of the controller and dynamics of radial temperature profiles. Quasistationary and dynamical experimental results are added for comparison. The results encourage us to continue the realisation of the complete system without the preliminary simplifying assumptions.
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