Shawn,
I encourage you to do a search here on Staggered Nutrient Additions (or SNA) when you have the chance to do so. The bottom line answer to your question is that if you have added enough in your first dose, you probably won't need any more nutrients. But, adding the nutrients in smaller measured amounts during the course of the first 1/3 of fermentation will present the yeast with just the stuff it needs, no more and no less, and so your fermentation will be quicker and more clean if you follow a staggered nutrient protocol.
I encourage you to do a search here on Staggered Nutrient Additions (or SNA) when you have the chance to do so. The bottom line answer to your question is that if you have added enough in your first dose, you probably won't need any more nutrients. But, adding the nutrients in smaller measured amounts during the course of the first 1/3 of fermentation will present the yeast with just the stuff it needs, no more and no less, and so your fermentation will be quicker and more clean if you follow a staggered nutrient protocol.