The air that we breathe in and breathe out of the lungs varies in its pressure. So basically when there is a fall down in air pressure the alveolar spaces drop down and the air enters the lungs (inspiration) as the pressure of the alveoli surpasses the atmospheric pressure, the air that is blown from the lungs (expiration). The rate of flow of air is in proportion to the magnitude of the pressure difference.
Read More: Mechanism of Breathing