Dr. Asham graduated from Assiut University Medical School in Egypt with honors. After completing his military service as a lieutenant, he went to England, where he obtained a doctorate in medicine from the University of London. His doctoral thesis was on the role of endothelin in colon and rectum cancer liver metastases (secondary tumors). His thesis is archived at the British Library. During his surgical training in England, he was admitted, after examinations, to the fellowships of the Royal Colleges of Surgeons of England, Edinburgh, and Glasgow. One of his appointments was a lecturer at King's College Hospital, London.

Dr. Asham was selected to do a postdoctoral fellowship at the Thomas Starzl Institute, University of Pittsburgh. Dr. Starzl is the pioneer of liver surgery (hepatobiliary) and transplantation.

Before launching his own surgical practice, Dr. Asham was an assistant professor of surgery at the University of Texas Medical Branch, where he helped to establish and build the liver surgery and transplantation service. He served as an attending surgeon with the abdominal transplant surgery team at Houston Methodist Hospital at Texas Medical Center. Dr. Asham authored and coauthored several book chapters and peer-reviewed articles in various surgical journals. He presented his abstracts at multiple national and international conferences. He was invited to give grand rounds at Charing Cross Hospital, London, U.K., and  Kenyatta University Medical School in Nairobi, Kenya.  

Dr. Asham has a special interest in medical missions to the underprivileged in the third world. He made many trips to Africa and the Middle East. Dr. Asham defines his success by the well-being of his patients.