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Linear model of respiratory mechanics Pao pressure at airway opening Input:

In the attached document how is equation 2.16 derived, step by step please.

It was given that Q = QA+ ( Q - QA )

Thanks.


1. Linear model of respiratory mechanics Input: P ao pressure at airway opening Central airways (larger) R C Fuid mechanical resistance C S shunt compliance (central airways compliance and gas compressibility) P aw pressure in central airways Q Q A Fow shunted away from the alveoli Peripheral airways (smaller) R P Fuid mechanical resistance C L compliance of the lung (alveoli) C w compliance of chest wall P A pressure in alveoli P pl pressure in pleural space (between the lung parenchyma and chest wall) Q A Fow delivered to the alveoli Reference: P 0 ambient pressure (set =0) Output: Q volume Fow-rate of air entering the respiratory sytem
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