Preparing the rats for the dissection session, they came across a queer phenomenon.
I think it was this before the ellipsis:
While they were preparing the rats for the dissection session, they came across a queer phenomenon.
Here the adverbial particle while and the NP1 which is exactly the NP1 of the main sentence and a form of the verb be has been omitted. Could you give me a link which explains this kind of ellipsis and the like?
Another instance:
Obviously sad, she entered the room.
which has been:
While she was obviously sad, she entered the room.