This is a very interesting question and I hope to see some great answers.
I attached some papers related to this topic that I find interesting. I also wanted to point out that since you are at Temple there is a new hire in the Center of Computational Genetics and Genomics (David Liberles, hired last year) that works on developing mathematical model on the faith of gene duplicates. He would be a great person to ask about this topic and just gave a talk at my university about this last week.