What role do the Greek allusions in Christopher Marlowe's Edward II play?

In Act I, critic Sara Munson Deats, in her article on Greek mythology in the play, suggests that Isabella’s reference to herself as Circe, the sorceress who turned Odysseus’s men into swine, held him captive, and later turned the nymph Scylla into a dangerous rock, presages Isabella’s later, more explicitly devious and dissembling behavior.