Shortly after his birth in Jubbulpore, India, his father retired from the British Army and moved to Australia.
During this period he pioneered techniques for injecting single mammalian nerve cells with tracers and used these to extensively study the neuronal microcircuitry of the sensory systems within the spinal cord.
[citation needed] In 1976, Snow was awarded a Queen's Fellowship in Marine Science to study the nervous system of crustaceans at the Australian National University.
In 1978, he was appointed to the faculty of the Anatomy Department, University of Queensland where, until his retirement in 1998, he supervised several large medical research programs on the plasticity of the central nervous system and the representation and control of pain.
Over this period Snow also conducted extensive studies on the neurobiology of sharks and stingrays which included research on their somatosensory systems, centers of aggression and ability to withstand extreme hypoxia.