Nostrils Pull Up when Smile?

When I smile my nostrils pull up too high on the sides. I would simply like them to pull to the side, not up. I am aware that a surgeon can cut the depressor septi muscle to stop the base from pulling down, but my base stays the same, just the nostrils pull up. Is there a muscle that can be cut to stop the nostrils from pulling up when smiling? Or is there a type of graft that can be put into place that will allow the nostrils to spread to the side when smiling, but will stop them from pulling up?