alkyspeed, Is this occurring on more than one of the trim strips? If it's only one, I would pull the strip off using a very small pry bar. If the ceiling panels are close enough together, just re-attach the trim to cover both edges. Maybe some Elmers glue on the edge of the panel to hold the loose material.
If the ceiling panels are so far apart that the trim won't cover the edges, go to your local home store and find some trim that will work. You may have to paint it white.
I've used small #6 countersunk screws to re-attach loose trim in our Bighorn because we have aluminum trusses. I just cover the screw head with white out.