They 'modeled' their educational system 'on' the U.S. system. [=they used the U.S. system as a model when they created their educational system]
His best dish is closely 'modeled on' his mother's recipe. [=is based on and very similar to his mother's recipe]
She 'models' [=she works as a fashion model] for the world's most successful modeling agency.
(..) It's the greatest moment of your life, and you're off somewhere else! I am not! Shut up! Our fathers were our models for God. If our fathers bailed, what does that tell you about God? Listen to me. You have to consider the possibility that God does not like you. He never wanted you. (..)1999 Fight Club
(..) from it... ...and program our base to replicate exactly what the creature was doing in previs. So our base scenes are moving just like the animated model moves. So what it means is the Digital Department and the Physical Effects Department... ...are both working with the same motion as one another. (..)2012 The Hobbit: An Unexpected Journey
(..) - Vomit. - No. I liked it. I still like it. If people I don't even know look at me and want to fuck me, it means I really have a shot at being a model. Which is great, because there's nothing worse in life than being ordinary. I really think it'll happen for you. (..)1999 American Beauty