AbstractThis paper describes a new optimal control model for predicting the inspiratory airflow pattern in breathing. The dynamics of the mechanical lung‐rib‐cage system is described by a linear first‐order equation. The physiological interpretation of the mathematical optimization criterion used in the model is the minimization of oxygen expenditure of the respiratory muscles together with the avoidance of movements with rapid changes in the flow rate. The optimal control analysis results in a relatively difficult two‐point boundary value problem which is solved by multiple shooting techniques. The new criterion yields better predictions for breathing at rest than previous models. The most significant improvements are that this model is able to produce asymmetric inspiratory airflow patterns and to predict the effects of changes in the operating level and the elastance coefficient of the system. A modified version of the model is suggested which would be able to predict patterns of breathing during exercise
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