The function of breathing in humans is special, as it is one of few processes that can be controlled consciously or unconsciously. So it provides an interesting link to the deeper parts of our minds.
When we get stressed or upset, if we notice the breathing we might find that it is shallow. By deepening the breath, we can calm ourselves once again.
Practicing the nadi shodhana, or alternate nostril breathing is another important way to settle ourselves down. By breathing in and out using each nostril, we can balance the brain waves, bringing the mind to a quiet place.