Curently there are two bands with this name:
1) A melodic death metal band from Sweden (formed in 2005)
2) A melodic death/thrash metal band from Greece (formed in 2007) ----
1)
Descending were formed from the former members of the band Scenskräck (Stagefright) in the summer of 2005. The lineup back then was Rickard Apelstav on leadguitar, Anders Lundvall on the rythmguitar aswell as Alexandra Andersson on the drums. The same Summer the bassplayer Michael Skalenius joined the band aswell as a temporary vocalist who after a few months chosed to quit.

Read more about Descending on Last.fm.