Of course, implementing this isn't easy. You need to first develop your stories, then decide on how you're going to convey those stories and at what drip-rate. For example, your first email or two might go out on the day they first signup, then one email per day might go out afterwards. How much of that will be story-based and how much will be pitches?
In marketing automation, Ryan Deiss, co-founder of Digital Marketer, often describes the sales funnel as a multi-step, multi-modality process that moves prospective browsers into buyers. It's multi-stepped because lots must occur between the time that a prospect is aware enough to enter your funnel, to the time when they take action and successfully complete a purchase.