Boyle's Law and The Respiratory System:
Boyle's law describes the relationship between the pressure and volume of a gas; dictates the mechanics of respiration.
- Boyle's Law Equation: (P1)(V1) = (P2)(V2)
- Pressure and volume of a gas are inversely related (assume temperature is constant).
Key anatomical/mechanical structures
- Pair of lungs connected by a trachea
- Lungs sit within a double-walled pleural sac, which separates lungs from thoracic wall.
- Pleural space, which is the potential space within sac.
- Sternum and ribs around pleural sac
- The internal and external intercostal muscles lie between the ribs
- Diaphragm comprises a sheet of skeletal muscle and forms bottom border of thoracic cavity.
– Contraction/relaxation changes the volume of the thoracic cavity, which alters the intrapulmonary and intrapleural pressures in accordance with Boyle's law.
Air pressures
Dictate movement of air during inspiration and expiration
- Atmospheric pressure = 760 mm Hg, external to the thoracic cavity.
- Intrapulmonary pressure (intra-alveolar pressure) = atmospheric pressure at rest, refers to the pressure within the lungs
- Intrapleural pressure = 756 mmHg, pressure in the pleural space.
Inspiration: actively increases thoracic volume.
Movements during Inspiration:
- Diaphragmatic Contraction:
- Diaphragm flattens and moves inferiorly as it contracts.
- External Intercostal Muscle Contraction:
- External intercostal muscles contract
- Forces sternum to move in an anterior and superior direction
Effects:
- As thoracic volume increase:
– Intrapulmonary pressure decreases to below atmospheric pressure; creates pressure gradient that facilitates inhalation.
– Air moves down this pressure gradient: Moves from atmosphere (high P) through trachea into lungs (low P)
- Gas exchange occurs in lungs ? need to exhale carbon dioxide
Expiration passively decreases thoracic volume.
Movements during Expiration:
–
Diaphragm relaxes
–
Ribs back to resting position (move medially)
– External intercostal muscles relax
– Sternum back to resting position (moves inferiorly)
Effects:
- As thoracic muscles relax:
– Lungs elastically recoil to their pre-inspiratory volume; Lung volume decreases.
– Intrapulmonary pressure increases above atmospheric pressure; creates pressure gradient that facilitates expiration.
– Air moves down pressure gradient: Moves from lungs ? out trachea ? into atmosphere, CO2 exhaled.