Searching directory structure for files

I would have a directory structure like this:

-Root
----Backups
------------SystemDB-11-11-04-11:05.mdb
------------SystemDB-12-11-04-11:05.mdb
------------SystemDB-13-11-04-11:05.mdb
------------SystemDB-14-11-04-11:05.mdb
------------SystemDB-15-11-04-11:05.mdb

these folders are created to store a backup of a database everyday, then the database is copied into the folder.

How could i search the BACKUPS folder for sub-directories containing a database (*.mdb) file starting with the string 'SystemDB'?

Can i use the DIR function for this or is it too limited for this check?

thanks