Apparently Gödel starved himself to death. This interests me as there are people with eating disorders in my family (both female and male), and I don't believe that the true origin of these illnesses has been discovered. There clearly is some connection with obsessive personality.
Yes, it's reasonable to think that eating disorders are a type of obsession. We're still a ways from having a firm grasp on just how our brains do the things they do.