According to a University of Toronto study, teenage girls with diabetes are twice as likely to develop eating disorders. "Diabulimia," Mercer explains, "is characterized by a person with diabetes who is intentionally skipping insulin therapy to keep blood glucose levels elevated, which in turn causes dangerous weight loss."
—Julia McKinnell, "When to reveal your insulin pump," Maclean's October 27, 2011
Instead of vomiting or taking diuretics a person with diabetes can omit insulin in order to lose weight. Omitting insulin produces high blood sugar and causes a person to lose a large number of calories....
Google Books returns a diabulimia citation from African Drum magazine and says the date is January 1, 1951. However, since the next earliest citation comes 47 years later, I'm going to assume the 1951 date is an error.