If I'm reading this right, the way to access it in actionscript is
_root.parametername
so, to be more explicit, you'd open up a frame, go to actionscript and type something like
textBoxName.text = _rootParameterName
(Make sure you used "export for actionscript" on the control.)
database triggers? I have a feeling that if you look into WHY you're doing the thing that requires being run continuously, you'll find you don't in fact need it to run continuously. So, what are you doing big picture?