I was talking last summer to Niels Birbaumer, who worked in the early days on conditioning the autonomic nervous systems of rats, with psychsomatic theories in mind. He didn't need any convincing that our immune system may be significantly affected by our mental states. Niels is in charge of a brain imaging unit in Tübingen, and has done work on imaging musicians while they imagined they were playing. We discussed the possibility of doing similarly for mathematicians.
Now, how cool is this? If they do the brain imaging on mathematicians, I so want to be able to follow the study.