Factors that influence the rate and depth of breathing include thalamic control stretch receptors in the alveoli voluntary cortical control temperature of alveolar air

The Factors that control the rate and depth of breathing is Voluntary cortical control, thalamic control stretch receptors in the alveoli voluntary cortical control temperature of alveolar air.  Ventilation perfusion coupling means that more blood flows past functional alveoli than past non-functional alveoli.