- MD, University of Oklahoma College of Medicine
- BS, Universtiy of California
- Board Certified Anesthesiologist, American Board of Anesthesiology
- Board Certified Pediatric Anesthesiologist, American Board of Anesthesiology
- University of Kansas School of Medicine
- Pediatric Anesthesiology, University of Oklahoma Health Sciences Center
Dr. Elwell's publications can be reviewed through PubMed.