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We develop a mathematical model of the lung that can estimate independentlythe air flows and pressures in the upper bronchi. It accounts for the lungmulti-scale properties and for the air-tissue interactions. The model equationsare solved using the Discrete Fourier Transform, which allows quasiinstantaneous solving, in the limit of the model hypotheses. With this model,we explore how the air flow--volume curves are affected by airways obstructionor by change in lung compliance. Our work suggests that a fine analysis of theflow-volume curves might bring information about the inner phenomena occurringin the lung.

Influence of lung physical properties on its flow--volume curves using a detailed multi-scale mathematical model of the lung