Respiratory stimulants like doxapram, caffeine, and theophylline work by stimulating the respiratory center in the brainstem and medulla, leading to increased breathing. They can also cause bronchodilation by inhibiting phosphodiesterase enzymes. These drugs are used to treat conditions involving respiratory depression, asthma, and apnea of prematurity. Common side effects include muscle tremors, agitation, gastrointestinal issues, and cardiovascular effects like hypertension and arrhythmias. Therapeutic monitoring of vital signs and drug levels is important when using respiratory stimulants.