Frank Burnand Mudd, son of Barrington R. Mudd, qualified as a member of the Royal College of Surgeons (MRCS) of England and a licentiate of the Royal College of Physicians (LRCP) of London in 1897. He came to South Africa in 1899 to serve in the Anglo-Boer War (1899-1902). After the war he was registered to practice in the Cape Colony in February 1904. However, he soon moved to the Transvaal Colony, where he was registered to practice in 1905. By 1907 he worked at the Johannesburg General Hospital and the next year succeeded Dr G.W.B. Daniell* as specialist anaethetist there. Around this time he published several papers in the Transvaal Medical Journal: "On the causes of death during the administration of chloroform" (1906/7, Vol. 2); "Demonstration of the anatomy of the mastoid antrum, with dissections of the facial nerve within the temporal bone" and "Points in the treatment of acute abdominal sepses" (1907/8, Vol. 3). He also started a private practice in Johannesburg. When the Medical School was started at the University of the Witwatersrand in 1921 he accepted its lectureship in anaesthesia. Later he published an article titled "Anaesthesia in general, and the general practitioner in particular" in the Journal of the Medical Association of South Africa (1928, Vol. 2(10), pp. 262-268.
Mudd married Leila Florence Allison in Johannesburg in 1910 and they eventually had two sons and a daughter. During the East African campaign in World War I (1914-1918) he served with the rank of major in the South African Medical Corps.