Well as BD gave up on the BHX-BRU route a couple of months ago, to the best of my knowledge they don't fly from BHX anymore.
They may have a code-share with LH, but I can't think of anything else.
I don't think they would easily be able to pull-back to BHX either - there was a lot of dissapointment about they way they operated out of BHX as they wound-down there operations and their dreadful wet-lease with LH last year.
Nick