Airway resistance and its measurement

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Principle[edit | edit source]

Airflow between the nose/mouth and the alveoli is driven by a pressure difference. The airways in between form a resistance

R=ΔP/Q 

where R is resistance, ΔP is the pressure gradient and Q is airflow

Resistance itself is described by the Poiseuille law

R = 8ηl/(πr4) - use to explain why during exhalation there is more resistance, because we take all the alveoli all together, compare with their radius and the tracheal radius

Where η is the viscosity of the inspired gas, l and r are the length and radius of the airway

Evidently, contraction of bronchi results in decreased airflow.

Measurement[edit | edit source]

Airway resistance is measured via pneumotachography (pneumo=lung, tacho=fast, graph=write), which compares pressure differences at two ends of a tube through which the subject breathes. Since the airflow Q is the same everywhere, one can derive an equation to find airway resistance:

Pneumotachography and airway resistance .jpg


Increased airway resistance indicates obstruction of the airways.

Links[edit | edit source]

References[edit | edit source]

Costanzo, L., 2019. Physiology - Board Review Series. 7th ed. Philadelphia: Wolters Kluwer, p.122.