Who is Pat from Welcome to the Monkey House and what is their importance?

Pat is a mathematician who makes the narrator pursue her until she is satisfied with his romance quotient. It takes EPICAC to write poetry beautiful enough to make her pay attention to the narrator and eventually to become engaged to him. Pat goes from being confident and dismissive and professional to coquettish and bashful. According to the narrator's account, at least, she exhibits more womanly qualities only after a computer makes love to her.