The best way to integrate personas with user stories are to understand that personas are characters in a story, and they have emotions, drivers and motivations just like any characters in any good stories do.
I’ve often seen the parallels between user experience design and screenwriting, and this is another great example. Good screenplays/stories present characters/personas with situations that they have to overcome or respond to. How they do so shows the measure of the character… And helps the audience/designer understand them better.
So, write user stories with your personas in mind and they will help you design the right solution that works for them. But make sure you know your personas well… Otherwise you will have them “acting” out of character.