I'm looking for a short story. It was a story where a man was sick and sent to a hospital with 7 or so levels. (The story may have started off with the man in the hospital) He was told he would be fine but they needed to keep moving him down levels due to testing purposes, ex. the mahcine they needed was on the next floor down. The lower the level you were on the sicker you were. Eventually he found himself on the lowest level and dying.
Anybody have any idea what i'm talking about?