Actually not only State school discouraged international students, at least as biological science is concerned. Cal, UCLA and UCSF has stated that they don't admit many internationals (The UCLA one in subtle; they mention they receive 5-6 per 300 applicants.) But private colleges like Penn also do this sometimes. There's a limit on international on the program in Duke I'm applying, too, but since some professor said I am "in the right track," I go on anyway.