Intrapulmonary pressure
when air moves out of the lungs, the air pressure decreases
Inspiration happens when the pressure inside the lungs is lower than the atmospheric pressure (outside) and air rushes into the lungs. Expiration is when the air inside the lungs is higher than the atmospheric pressure and the air rushes out of the lungs. If the intrapleural pressure (pressure within the pleura of the lungs) isn't maintained then the pressure in the lungs can't differentiate between inspiration and expiration and so the lung collapses.
alveoli
When pressure inside the lungs is lower than outside, air flows into the lungs to equalize the pressure. This is known as inhalation, where the diaphragm contracts and the rib cage expands to create more space for air to enter the lungs.
Atmospheric pressure does not crush our lungs because the pressure inside our bodies is equal to the pressure outside. This balance allows our lungs to expand and contract without being crushed.
The act of inhaling is to create low pressure in the lungs, causing the air in the atmosphere to rush in as it is moving from a higher pressure (outside in the atmosphere) to the lower pressure (created in the lungs). However the fact that air does move into the lungs means that there is no net change in pressure.
when pressure inside the lungs is lower then outer atmosphere
reduces intra-thoracic pressure which creates suction that draws air into lungs
The pressure inside the lungs decreases as the ribcage moves out and up. Air from outside basically gets pushed in by other air molecules due to the pressure gradient (air moves from a high pressure to a low pressure)
Gradually but continuously exhale. This is not only to control buoyancy, but to prevent damaging your lungs as the air in your lungs expands (due to external pressure decreasing, internal pressure increases)
The intrapulmonary pressure is the pressure in the alveoli. Intrapulmonary pressure rises and falls with the phases of breathing, but it ALWAYS eventually equalizes with the atmospheric pressure.