The document summarizes the control of respiration by brainstem centers. It describes three main areas - the medullary rhythmicity area in the medulla controls basic breathing rhythm through inspiratory and expiratory centers. The pneumotaxic area in the upper pons regulates breath duration. The apneustic area in lower pons prolongs inhalation. Peripheral chemoreceptors and proprioceptors provide feedback to modulate the breathing centers. Stretch receptors in the lungs trigger the Hering-Breuer reflex to regulate exhalation. Various other factors like emotions, temperature, pain also influence the respiratory centers.