imitate, copy, simulate -- (reproduce someone's behavior or looks; "The mime imitated the passers-by"; "Children often copy their parents or older siblings")
model, simulate -- (create a representation or model of; "The pilots are trained in conditions simulating high-altitude flights")
simulate, assume, sham, feign -- (make a pretence of; "She assumed indifference, even though she was seething with anger"; "he feigned sleep")