Converting Games Installed/Updated on PSP to .ISO?

[Furby]

So recently, I noticed that PPSSPP doesn't seem to play .PBP files anymore, which is annoying but whatever. As a result, though, it means games installed on the PSP don't quite work.

Anyway, I was wondering if anyone knew of a way to convert a game and it's updates from the .PBP and the related files into an ISO that I could use either on my PSP or on PPSSPP. My own attempts at google have pulled up nothing particularly helpful on this front.