The results of a mathematical simulation of the external respiratory function to illustrate the thesis that important subsystems of the human body can be studied by mathematical programming techniques that have been used to program and control complex military and industrial systems. The model constructed shows the process occurring when air is breathed and mixed with venous blood in the lungs, which results in exhaled air and arterial blood. From the long-range viewpoint, such simulation may provide a powerful new tool for biological investigations.
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