I am not sure why you think your daughter may be bipolar, but in my opinion as a professional counselor, I do not in your narrative see any symptoms of a bipolar condition. Quite frankly, I see a young child who is out of control. I strongly encourage you to seek out a good parenting skills group, or family counseling, or to go to your local library and pick up some of the very good books available on dealing with out-of-control or hard-to-handle children.

Running away one or two times a week is quite dangerous to your daughter's physical and emotional well-being. Where does she go? With whom does she stay? Do you file a runaway report with the police? How long is she gone? What are the consequences when she returns? If you can afford it, get a complete psychological evaluation to rule out any serious emotional problems, but most of all help yourselves and her by learning all you can about good parenting.