If you accidentally set off the alarm in the hospital at the beginning of the level, you have to use the teddybear saw to cut through one of three metal doors in order to get to Patient Zero and draw his blood. All three doors seem identical to me, and you only have one saw.
I don't know what happens if you don't set off the alarm - we haven't managed it yet.
Is there a way to tell ahead of time which room contains the correct patient?