A model of the overall control of the breathing pattern is presented. The model has the structure of a two-level optimization problem where the lower level criteria determine the shape of the airflow during inspiration and expiration and the higher level criterion determines the values of the other control variables. The model's general formulation makes it possible to obtain predictions of far greater accuracy than before because the previous restrictive assumptions have been avoided by increasing the number of independent control variables. In this model the control variables are the inspiratory time, expiratory time, duration of the end expiratory pause, change in the end expiratory lung volume, the dead space volume, the tidal volume, and the airflow pattern during the cycle. The model's optimization problem has clear and unique minima with respect to each control variable over a wide range of parameter values. Thus the model can be used to predict the effects of various environmental changes.
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