The presently disclosed subject matter relates to methods of administering an effective amount of dexmedetomidine to a pediatric patient in order to reduce the incidence of neurological damage. More particularly, the presently disclosed subject matter relates to methods of providing sedation or analgesia to a pediatric patient by administering a dexmedetomidine infusion and optionally a loading dose. The dexmedetomidine can be administered before, during, or after surgery.