What I said, tie-ins. So Saw and Silent Hill(')s are out of the question (still no answers about serious games though, for example Pulse!!, and a title by Indusgeeks), Pathologic maybe (two of the three protagonists are GPs that do investigation along with medical work)? Hospital Hustle (that's casual, as in trialware)? Dunno...
EDIT: The only stuff I can think of that fit spot-on are some flash games for BBC's Casualty,
that