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.
(..) Maybe it is. All right? Okay? Have I done my job up to your goddamn standards? Because according to my standards, you fit the model of drug-seeking behavior. You know, and too damn bad if you don't like my initial clinical reaction. Thank you. I'm transferring you to another counselor. - Good. (..)2006 The Departed