A thermodynamic mathematical model of premature infants placed in an infant incubator was developed in order to improve the control algorithm of this incubator. The premature infant's head was represented by a sphere, and the trunk and upper and lower extremities were represented by three cylinders. The sphere and cylinders were divided into two or three concentric layers to represent skin, muscle and core as appropriate for each anatomical structure. Heat flow between adjacent layers was modeled by conduction, and all layers exchanged heat by convection with a central blood compartment. All four skin layers exchanged heat with the environment by convection, radiation, and evaporation. Signals which were proportional to deviations from temperature set points in the brain and in skin were supplied to the model's regulator. The regulator then caused changes in the peripheral blood flow to occur in the skin layers of the appropriate segment in the body. A spatially lumped mathematical model of an infant incubator was developed based on accepted thermodynamic principles. The validity of the baby model was tested in 5 healthy premature newboms (body weight 1,210-1,740 g). The difference between experimental data from direct and indirect calorimetry and the model results averaged 0.1 ± 0.1, 0.2 ± 0.1 and 0.2 ± 0.2 (mean ± SE) °C for the rectum, trunk and head temperatures, respectively. The incubator model showed steady state error less than ± 0.1 °C for air and internal wall temperatures in the air servocontrol mode. The fall in air temperature for the simulation of opening of the front port of the incubator for five minutes was 1.4 °C. After closure of the front panel the incubator model showed a return to the initial temperature in less than 2 minutes. These results are in agreement with published data for this kind of incubator. In conclusion, the model is a good tool for designing improved control algorithms of incubators.
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